Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.

Lines AB And CD Are Straight Lines. Find X And Y. Give Reasons To Justify Your Solutions.

Answers

Answer 1

Answer:

1) x = 14°, y = 5°

2) x = 18.5°, y = 37°

Step-by-step explanation:

1) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 25°

∠MOD = ∠MOB + ∠BOD = 90°

3x + 23° + 25° = 90°

3x = 90° - 23° - 25°

x = 42°/3

x = 14°

∠LOB = ∠LOM + ∠MOB = 90°

5y + 3x + 23° = 90°

5y = 90° - 23° - 3(14°)

y = 25°/5

y = 5°

2) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 16°

∠EOB = ∠EOD + ∠DOB =  90°

2y + 16° = 90°

y = (90° - 16°)/2

y = 37°

∠DOF = ∠BOF + ∠DOB =  90°

4x + 16° = 90°

x = (90° - 16°)/4

x = 18.5°


Related Questions

find the measure of the angle theta

Answers

Answer:

A. 57.8°

Step-by-step explanation:

Reference angle = θ

Length of hypotenuse = 15

Length of adjacent side = 8

Recall, SOHCAHTOA.

Thus, apply CAH to find θ.

Cos θ = Adj/Hyp

Cos θ = 8/15

θ = Cos^{-1}(8/15)

θ = 57.7690474° = 57.8°

Richard can make one jewelry box using 88
toothpicks. If Richard has 950 toothpicks. what is
the greatest number of jewelry boxes he can
make?
A 11 B 9 C 10 D 12

Answers

Answer:

10

Step-by-step explanation:

PRESS ON THE PHOTO!! ONLY NUMBER 10 PLEASE

Answers

Answer:

B: T = ½R

Step-by-step explanation:

From the given graph, we see the following;

When T = 2, R = 4

When T = 3, R = 6

When T = 4, R = 8

When T = 5, R = 10

Looking at those values, we can see a pattern where R is always equal to 2T.

Or T = ½R

Thus, option B is the answer.

If you took the amount of oil consumed in 2 months in 2013 worldwide, you could make a cube of oil that measures 103 meters on each side. How many cubic meters of oil is this? Do you think this would be enough to fill a pond, a lake, or an ocean?

Answers

Answer:

The cube contains 1,092,727 cubic meters of oil, which could fill almost all the world's oceans, since they have approximately 1.3 million cubic meters of water.

Step-by-step explanation:

Since if you took the amount of oil consumed in 2 months in 2013 worldwide, you could make a cube of oil that measures 103 meters on each side, to determine how many cubic meters of oil is this and to determine if this would be enough to fill a pond, a lake, or an ocean, the following calculations must be performed, knowing that the volume of a cube is equal to the length of one of its sides cubed:

103 ^ 3 = X

103 x 103 x 103 = X

10,609 x 103 = X

1,092,727 = X

Therefore, the cube contains 1,092,727 cubic meters of oil, which could fill almost all the world's oceans, since they have approximately 1.3 million cubic meters of water.

Which is a factor of the whole expression 43x + 10) ?

Answers

well i think the answer is 4

i think the expression is supposed to be 4(3x+10)

ILL MARK U BRAINLIST IF YOU ARE CORRECT!

Find the distante between B and C

Answers

Answer: 13

Step-by-step explanation: subtract 22 from 9

13 is the anwser. Hope this helps

help me pls thxxxxxxxxxx

Answers

Answer:

brooklyn

Step-by-step explanation:if ur brooklyn do it ur self plese and ty -niki minaj

please help with this question i just need the volume

Answers

Answer: 4) 49 1/2  

5) 15

Step-by-step explanation:

To find volume you must use L x W x H.

4) 3 x 3 x 5.5= V

3 x 3 = 9

9 x 5. 5=  49.5

5) 2 x 2 x 3.75= V

2 x 2= 4

4 x 3. 75 = 15

What’s the correct answer answer for this question?

Answers

Answer:

A) 2x+4y=2 and -2x+2y=10

Step-by-step explanation:

2(-3)+4(2)=2

-6+8=2

-2(-3)+2(2)=10

6+4=10

Which statement is NOT true about this figure?
Select the best answer from the choices provided.
OA. The figure is a cone.
OB. The lateral surface of a cone comes to a point.
OC. There is one circular base.
OD. There is no vertex.

Answers

Answer:

od I'd the correct answer

Which of the following is false about the figure?

a. m CUD = m VUM
b. M AUV + m DUA = 180
c. m MUC - m MUD = mzCUD
d. m PUD + m VUP = m PUM + m_CUA​

Answers

Answer:

d.

Step-by-step explanation:

Let's examine each statement:

Option A: m<CUD = m<VUM (CORRECT)

Rationale: vertical angles are congruent to each other.

Option B: m<AUV + m<DUA = 180 (CORRECT)

Rationale: angles on a straight line

Option C: m<MUC - m<MUD = m<CUD (CORRECT)

Rationale:

m<MUC = m<MUD + m<CUD

Subtract m<MUD from each side

m<MUC - m<MUD = m<CUD

Option D is FALSE

Rationale:

m<PUD + m <VUP = 180° (angles on a straight line)

m<PUM + m<CUA ≠ 180°

Therefore,

m<PUD + m<VUP = m<PUM + m<CUA IS FALSE.

The diameter of a spindle in a small motor is supposed to be 5.8 millimeters (mm) with a standard deviation of 0.14 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 12 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 5.88 mm. What are the null and alternative hypotheses (H0 = null hypothesis and Ha = alternative hypothesis)?
A. H0: Mean= 5 and Ha: Mean is not equal to 5.
B. H0: Mean = 5 and Ha: Mean <5.
C. H0: Mean < 5 and Ha: Mean > 5.
D. H0: Mean = 5 and Ha: Mean > 5.

Answers

Answer: A. H0: Mean= 5 and Ha: Mean is not equal to 5.

Step-by-step explanation:

Definitions:

Null hypothesis [tex](H_0)[/tex] is a statement describing population parameters according to the objective of the study. It takes "≤,≥,=" signs.   Alternative hypothesis[tex](H_a)[/tex]  is a statement opposite to the null hypothesis elaborating population parameters according to the objective of the study. It takes ">, <, ≠" signs.

Given: The diameter of a spindle in a small motor is supposed to be 5.8 millimeters.

If the spindle is either too small or too large, the motor will not work properly. so, Mean diameter ≠ 5.8 to work correctly.

i.e. [tex]H_a: \text{Mean}\neq 5.8[/tex]

So, [tex]H_a: \text{Mean =5.8}[/tex]

The required null and alternative hypotheses:

H0: Mean= 5 and Ha: Mean is not equal to 5.

The points (3,h) and (10,1) fall on a line with a slope of
4/7 What is the value of h?

Answers

Answer:

h = -3

Step-by-step explanation:

Use slope formula:

(1 - h)/(10 - 3) = 4/7(1 - h) / 7 = 4/71 - h = 4h = 1 - 4h = -3

Answer:

The answer is  h = -3

Step-by-step explanation:

(1 - h)/(10 - 3) = 4/7

(1 - h) / 7 = 4/7

1 - h = 4

h = 1 - 4

h = -3

I need help this is so hard.

Answers

Answer= A

Explanation- it is the only one who does not fit in

Histogram help fast! Which of the following is a histogram?( look at the photo)

Answers

Answer:

B.

Step-by-step explanation:

First, we can eliminate answer A. As you should know, answer A is a pie chart as it is a circle and cut into many slices.

Now both answer B and C look similar. They are both a bar graph. So we will come back and look at these later.

Answer D is about math test scores. I have forgotten the name of this graph but I can assure you this is incorrect.

So we are left with B and C. They both are bar graphs, right? Well sort of. Although they look identical, answer B is a histogram. If you look at graph B, you will notice it says age. This shows that there is time between each subject or event. Graph C is a personal question. What kind of pet you have is not directly related to something over time

Therefor the answer has to be B.

What is the correct formula to find the sum of the finite geometric series below?

[tex]\displaystyle 2 + \frac{2}{3} + \frac{2}{9} + \ ... \ + \frac{2}{3^6}[/tex]

Answers

We are given the Geometric Series:

[tex]2 + \frac{2}{3} + \frac{2}{9} + \frac{2}{27} + \frac{2}{81} + \frac{2}{243} + \frac{2}{729}[/tex]

which can be rewritten as:

[tex]2 + \frac{2}{3} + \frac{2}{3^{2} } + \frac{2}{3^{3}} + \frac{2}{3^{4}} + \frac{2}{3^{5}} + \frac{2}{3^{6}}[/tex]

here, we can see that every term is (1/3) times the last term

Hence, we can say that the common ratio of this Geometric Series is 1/3

Finding the Sum:

We know that the sum of a Geometric Series is:

[tex]S_{n} = \frac{a(r^{n}-1)}{r-1}[/tex]

(where r is the common ratio, a is the first term, and n is the number of terms)

another look at the given Geometric Series tells us that the first term is 2 and the number of terms is 7

plugging these values in the formula, we get:

[tex]S_{n} = \frac{2((1/3)^{7}-1)}{(1/3)-1}[/tex]

[tex]S_{n} = \frac{-1.99}{-0.67}[/tex]

Sₙ = 2.97

Step-by-step explanation:

[tex] \tt2 + \frac{2}{3} + \frac{2}{ {3}^{2} } + \frac{2}{ {3}^{3} } + \frac{2}{ {3}^{4} } + \frac{2}{ {3}^{5} } + \frac{2}{ {3}^{6} } [/tex]

r = [tex]\tt{a_2 \div a_1}[/tex]

r = [tex]\tt{\frac{2}{3} \div 2}[/tex]

r = [tex]\tt{\bold{\frac{1}{3}}}[/tex]

Soo :

[tex] \sf s_n = \frac{a( {r}^{n} - 1) }{r - 1} [/tex]

[tex] \sf s_7 = \frac{2(( \frac{1}{3} ) {}^{7 - 1} - 1) }{( \frac{1}{3} - 1) } [/tex]

[tex] \sf s_7 \approx \bold{ \underline{2.97}}[/tex]

Complete the following statement
Like frequency tables, bar graphs provide a visual display of____

Answers

Answer:

Data

Explanation:

Like all graphs, a bar graph is a visual display of data and displays categorical data.

Like frequency tables, bar graphs provide a visual display of data.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Categorical data, showing the distribution of the data across different categories or groups.

Bar graphs are particularly useful for comparing the sizes or frequencies of different categories, and they can make it easier to spot patterns, trends, or outliers in the data.

By representing the data visually, bar graphs can also help to communicate the information more effectively to others, allowing people to quickly understand and interpret the key features of the data.

Hence, Like frequency tables, bar graphs provide a visual display of data.

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ2

Which graph represents a function with an initial value of 1/2?

Answers

Answer:

The initial value is the value of the y-coordinate when the x-coordinate is equal to 0. That is the same to say the value at which the graph intercepts the y-axis. So, you just have to pick the graph whose line intercepts the y-axis at 1/2.

One evening Papa John’s sold a total of 33 pizzas topped with pepperoni, sausage, or pepperoni and sausage. There were 29 pizzas that had pepperoni. Of these, 15 also had sausage. How many more pizzas had pepperoni only than had sausage only?

Answers

Step-by-step explanation:

So he sold 33.

29 had pepperoni and of these 29, 15 had also sausage. SO first, to find out how many pepperoni pizzas only he sold you have to substract.

29-15= 14

14pepperoni pizzas

15 pepperoni and sausage pizzas.

Now we add 14 + 15 = 29

Now we do 33-29= 4

So the final answer to the question is:

10 pizzas more

!!!!!!! PLEASE HELP!!!!!

Answers

Answer:

You have to do 7x+2+6x+9 Which is 13x+11.

Step-by-step explanation:

When Ricardo was 9 years old, he was 56 inches tall. By age 12, he had increased his
height by 12%. How tall is he now?

Answers

Answer:

He is 62.72 inches tall now

Step-by-step explanation:

the twelve over 100 is the percentage, he increased by 12 percent. and the x over 56 is the new value (x) over the old value. We get 6.72 so we add that to 56 to get 62.72.

PLEASE HELP ASAP WILL GIVE BRANLIESTKayla is installing a rectangular play area in her backyard so her new puppy can run around. After installing 42 feet of fence for the play area, she still has 12 feet of fence left to install. 12 + p = 42 or p - 42 = 12
Let p represent the perimeter of the play area. Which equation models the problem?
Solve this equation to find the perimeter of the play area.
_____________ feet

Answers

Answer:

The equation is P - 42 = 12

P = 54

Step-by-step explanation:

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

9514 1404 393

Answer:

  (C)  angles A and B and those corresponding

Step-by-step explanation:

If sides are used to show similarity, at least two sides from each triangle are required. If only two sides are used, then the angle between them must also be shown to be congruent.

A -- has 2 sides, but no angles; (SS) not sufficient

B -- has 2 sides but not the angle between; (SSA) not sufficient

C -- has 2 angles; (AA) sufficient

D -- effectively, one angle; (A) not sufficient

VX
What is the measure of _c?
148
С
42
90°
42
48
O 42°
O 48°
O 90°
180°

Answers

Answer:

48

Step-by-step explanation:

One nice, reliable thing about triangles is that their interior angles will ALWAYS add up to 180 degrees.  So, if one angle is 43 degrees and the other angle is 48 degrees, we can see that

180 - 43 - 48 = 89

Now, the tricky part: how to determine which type of triangle this is.

An acute triangle is one in which all interior angles are less than 90 degrees.  An isoceles triangle is one in which two of the interior angles are the same, while the third is different.  An obtuse triangle is one in which one of the interior angles is greater than 90 degrees.  A right triangle is one in which one of the interior angles is equal to 90 degrees.

We distinguish between these different types because they each have useful, but different, properties.

By these definitions, it is clear that the triangle in question is acute.

HELPP PLEASEEE MY GRADE DEPENDS ON ITTT!!!!!!!!!
Find the value x.

Answers

Answer:

its ten i think it depends on my work

[tex]\\ \qquad\quad\sf\longmapsto 48^2=64\times x[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 48^2=64x[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x=\dfrac{48^2}{64}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x=\dfrac{2304}{64}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x=36[/tex]

Find the area of irregular shapes

Answers

So far, we have found area for rectangles, triangles, trapezoids, and circles. An irregular figure is a figure that is not a standard geometric shape. Its area cannot be calculated using any of the standard area formulas. But some irregular figures are made up of two or more standard geometric shapes. To find the area of one of these irregular figures, we can split it into figures whose formulas we know and then add the areas of the figures.

8. Make a prediction for a resting heart rate after 6 hours of
exercise a week
Resting Heart Rate (BPM)
Hours of Exercise per Week
a.) 6
b.) 50
c.) 55
d.) 59

Answers

I think the answer is 50

Answer:

the answer is 50!!! it sure is

Will give brainless
This is due tomorrow at 12pm

Answers

Answer:

The most common rock-forming minerals are quartz, feldspar, mica, pyroxene, amphibole, and olivine. The most reliable way to identify a mineral is by using a combination of several tests. A crystal is a solid in which the atoms are arranged in repeating patterns.

The ratio of 1 hour to 300 seconds is:
(i) 1:12;
(i) 12:1; (iii) 1 : 5;
(iv) 5:1

Answers

Answer:

1:12

Step-by-step explanation:

I hope this helps!

23652.9/36
Maths decimals

Answers

Answer:

657.025 is the correct answer.

Answer:

657.025

Step-by-step explanation:

I did the math.

Other Questions
Who can figure out the answer (3 x 1) +(6x 100)=X What is the area of rhombus ABCD? 98.28 cm 2 78.00 cm 2 24.57 cm 2 39.00 cmHurry PRE VIEWING: EFFECT AND CAUSES OF CLIMATE CHANGE sphere has a diameter of 14 ft. What is its surface area? A 10cm3 sample of copper has a density of 897g/cm3. What is the mass of the sample? Through what countries did the Chi Minh Trail run? Which value of x makes the following equation true?-3x - 32 = -2(5 4x) In a competition of 50 professional ballroom dancers, 22 competed in the fox-trot competition, 18 competed in the tango competition, and 10 competed in both the fox-trot and tango competitions. How many dancers competed in either the foxtrot or tango competitions? Which equations are equal to this equation? Select all that apply. 1/4(8x + 56) = 20 A. 56 + 8x = 80 B. 14 = 20 8x C. 2x + 14 = 5 D. 2x = 6 A spinner is spun 100 times. It lands on red 68 times. What is the experimental probability of landing on red? Please help!! Due in 45 minutes. The table shows how surveyed drivers obtained their current vehicle and how they plan to get their next vehicle.A 2-way table. A 4-column with 4 rows titled Plan for Next Vehicle. Column 1 has entries Current vehicle, bought new, bought used, leased total. Column 2 is labeled Buy new with entries 39, 19, 5, 63. Column 3 is labeled Buy used with entries 6, 146, 2, 154. Column 4 is labeled Lease with entries 6, 9, 18, 33. Column 5 is labeled Total with entries 51, 174, 25, 250.Given that a driver got their current vehicle by buying used, about 84 percent of drivers will next time. Classify the angle pair using all names that apply Spanish 2!Activity 18 Will give brainlist if right! Can someone help me with my English? Please follow the instruction below. pls help giving brainliest ty ! PLEASE HELP !! ILL GIVE BRAINLIEST !! Given m||n, find the value of x.+104Answer: The rising sea level could be aconsequence ofA. the desalination of water.B. stormwater runoff.C. global warmingD. glaciation Because a water molecule has a negative end and a positive end it displays?