Answers
Step-by-step explanation:
[tex] \because \angle JKM [/tex] is the exterior angle of [tex] \triangle KLM [/tex]
[tex] \therefore [/tex] by remote interior angle theorem of a triangle, we have:
[tex] m\angle L + m\angle M = m\angle JKL \\\\
(18z + 3)\degree + (5z - 3)\degree = 161\degree \\\\
(18z + 3+5z - 3)\degree = 161\degree \\\\
(23z)\degree = 161\degree \\\\
23z = 161\\\\
z = \frac{161}{23} \\\\
\huge \red {\boxed {z = 7}} \\\\
\because \measuredangle L = (18z +3)\degree \\\\
\therefore \measuredangle L = (18\times 7+3)\degree \\\\
\therefore \measuredangle L = (126+3)\degree \\\\
\huge\purple {\boxed {\therefore \measuredangle L = 129\degree}} \\\\
\because \measuredangle M = (5z - 3)\degree \\\\
\therefore \measuredangle M= (5\times 7-3)\degree \\\\
\therefore \measuredangle M = (35-3)\degree \\\\
\huge\orange {\boxed {\therefore \measuredangle M = 32\degree}} \\\\[/tex]
Related Questions
if 8 litres of petrol cover's 60km , how many litres of petrol will a car need to cover 50km
Answers
Answer:
Step-by-step explanation:
8 litres of petrol cover's =60km
For 1km petrol required=8/60 litre
For 50 km petrol required=8x50/60 litre
=6.66 litre is the answer
The smallest exterior angle of a polygon is 40degrees the largest exterior angle is 80 degrees a) what is the smallest possible number of sides b) what is the largest possible number of sides
Answers
Answer:
a) The smallest possible number of sides of the polygon is a regular polygon with 5 sides
b) The largest possible number of sides of the polygon is a regular polygon with 9 sides
Step-by-step explanation:
a) The smallest exterior angle of the polygon = 40°
The largest exterior angle of the polygon = 80°
Therefore, we have the interior angles are;
The smallest interior angle of the polygon = 180° - 40° = 140°
The largest interior angle of the polygon = 180° - 80° = 100°
Therefore, we have
The interior angles of a regular polygon are given by the following formula;
[tex]Interior \ angle =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]
For an interior angle of 100°, we have;
[tex]100^{\circ} =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]
100/180 × n = n - 2
2 = n - 100/180 × n = 4/9·n
2 = 4/9·n
n = 18/4 = 4.5
Therefore, given that a square has an interior angle of 90° we have the smallest possible number of sides polygon = 5 sides
b) For 140°, we have;
[tex]140^{\circ} =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]
140/180 × n = n - 2
2 = n - 140/180 × n = 2/9·n
2 = 2/9·n
n = 18/2 = 9
n = 9 sides
Therefore, the largest possible number of sides = 9 Sides.
Someone help me with this please !!!!!:(
Answers
Answer:
8.1.
Step-by-step explanation:
a^2+b^2=c^2
8^2+2^2=c^2
64+4
68
and you square root it and get 8.2 so i giras is 8.1
hope it helps.
The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). After translation, R' is the point (–11, –11). Find the translation rule and coordinates of U'.
Answers
Answer:
The original coordinate of
R is (-5, -5)
The new coordinate of
R is (-11, -11)
The translation rule is ( x - 6, y - 6)
The original coordinate of
U is (-5, 1)
The new coordinate of
U is (-5 - 6, 1 - 6)
which is
(-11, -5)
U' = (-11, -5)
Answer:
(x, y) --> (x – 6, y – 6); (–11, –5)
Step-by-step explanation:
Subtract 6 from both the x and y coordinates of U to get (-11, -5).
12 1/2 of 32=
please answer
Answers
Answer:
400
Step-by-step explanation:
Answer:
400
Step-by-step explanation:
please help
Hello,
I will mark brainliest to the one who answers
my question right and who does not copy what
someone else answered No cussing and
or Inappropriate words to get marked brainliest
Thanks,
brownarietta8
P.s please tell me if my screen looks pink
Answers
Answer:
1. subtract 9 from z- z-9
2. add 9 and z - z+9
3. divide 9 by z - 9/z
4. multiply 9 by z - 9z
Step-by-step explanation:
Your welcome!
Brainliest Appreciated!
Answer:
Subtract 9 from z z-9
Add 9 and z 9+ z
divide 9 by z 9/z
multiply 9 by z 9z
P.S you screen is not pink
Step-by-step explanation:
Mr. Johnson has a piece of pipe 5 1/3 feet long. He decides to cut it into 3 equal pieces to use in making a railing for his porch. How long should he cut each piece?
Answers
Answer: 1.78 repeating
Step-by-step explanation:
Answer:
1 7/9
Step-by-step explanation:
Hope this helps. Pls give brainliest.
What is 100% as a fraction
Answers
Answer:
1/1
100% as a fraction can be written as 1/1, which can be "simplified" to 1. In other words, 100% is the whole.
Hope this helps ^-^
Complete the table. Write each as a fraction, decimal, and percent. Fraction Decimal Percent 3% % 1.5 1% 13 20 2. 3 %
Answers
Answer:
Step-by-step explanation:
3% in a decimal is 0.03.
In a survey, a group of students were asked their favorite sport. Eighteen students chose “other” sports.
Answers
Answer:
22.5% Hope this helps
Step-by-step explanation:
Answer:
22.5%
Step-by-step explanation:
You were billed $28.50 for additional data usage on your cell phone at a rate of $9 per gigabyte. Three choices are correct ways to calculate the additional gigabytes, g, that you used. Which choice is NOT?
Answers
Answer:
b.) 9/g = 28.5
Step-by-step explanation:
a.) 9g = 28.5
b.) 9/g = 28.5
c.) 28.5 = 9 x g
d.) 28.5/9 = g
Total billing = $28.50
Rate = $9 per gigabyte
Calculate the additional gigabytes, g, that you used.
Additional gigabyte used, g = Total billing / Rate
g = $28.50 / $9
9g = 28.50
28.50 = 9 × g
g = 28.50 / 9
Option b.) 9/g = 28.5 is the incorrect way to calculate the additional gigabytes, g, that you used.
Answer:
9/g = 28.5
Step-by-step explanation:
It's attached to the image to show proof it's right
Mr. Jordan plans to leave the total of his savings to his four children. If they all are to receive the same amount of inheritance and the total savings that he has is $501,052.40, how much will each of them receive?
Answers
Answer:
$125,263.10
Step-by-step explanation:
In order to calculate the total amount that each one of the children will receive we simply need to divide Mr. Jordan's total savings by the total amount of children that he has. This will evenly divide his savings to the children so that each one has the exact same amount.
501,052.40 / 4 = 125,263.10
Therefore, each of the four children will receive a grand total of $125,263.10
someone please help
What is the solution to the system of equations below?
4x + 8y = 24
12y = 4x - 30
Answers
Y= -3/10
Hope this helps
Answer:
(33/5 , -3/10)
Step-by-step explanation:
Solve for y 4x+5y=20
Answers
Answer:
y = (20-4x)/5
Step-by-step explanation:
5y = 20 - 4x
y = (20-4x)/5
Use inductive reasoning to predict the next line in this sequence of computations. Then use
a calculator or perform the arithmetic by hand to determine whether your conjecture is
correct.
9.3+5 = 32
99.3 + 5 = 302
999. 3+5 = 3002
9999.3+5 = 30002
Make a conjecture by predicting the correct numbers in the line below.
0-3+5 -0
Is the conjecture correct?
O A. Yes
OB. No
Answers
Answer and explanation:
Inductive reasoning is a method of reasoning whereby conclusion of an argument is based on specific observations or evidence that forms the premise of the argument. Inductive reasoning moves from observations to general conclusion unlike deductive reasoning.
B. The conjecture 0-3+5 -0 is incorrect
Given the above sequence of computations, we use inductive reasoning to predict the next computation
The correct next conjecture is
99999.3+5= 300002
Factor −3 out of −27a−12.
Answers
Answer:
-3(9a + 4)
Step-by-step explanation:
Factor −3 out of −27a−12.... basically divide each term by -3
-3(9a + 4)... please check if by multiplying -3 you still get (-27a - 12)
The triangle and the trapezoid share a 15-inch base and a height of 10 inches. A. The area of the trapezoid is less than twice the area of the triangle. Find the values of x. Explain your reasoning.
Answers
Answer:
Possible values of x are whole numbers that are lesser than 15 inches
Step-by-step explanation:
We are given;
Base; b = 15 inches
Height; h = 10 inches
Formula for area of triangle is;
A_tria = ½bh
A_tria = ½ × 15 × 10
A_tria = 75 Sq.in
Now, formula for trapezoid is;
A_trapez = ½(a + b)h
Where a is the side parallel to the base.
We are told that the area of the trapezoid is less than twice the area of the triangle.
Thus;
½(a + 15)10 < 2(75)
Simplifying;
5(a + 15) < 150
Divide both sides by 5 to get;
a + 15 < 150/5
a + 15 < 30
Subtract 15 from both sides to get;
a < 30 - 15
a < 15
Possible values of x are whole numbers that are lesser than 15 inches
3(x + 1) = -2(x - 1) - 4
Answers
Answer:
x = -1Step-by-step explanation:
1. Distribute
3x + 3 = -2x + 2 - 4
2. Simplify
-2x + 2 - 4
2-4 = -2
-2x - 2
3. Solve
3x + 3 = -2x - 2
+2x +2x
4. Cont. Solving
5x + 3 = -2
-3 -3
5x = -5
5. Divide by 5
5x = -5
/5 /5
x = -1Hope this helped,
Kavitha Banarjee
BRAINIEST, THANKS, AND 5 STAR RATING what is the equation of the line in slope intercept form?
Answers
Answer:
y = -300x
Step-by-step explanation:
The y-intercept passes through 0, in this case, we don't have to include the y intercept to the equation. The slope is -300, or vertical/horizontal (rise/run, the formula for finding slope <<) We just include the slope if there is no y intercept. So, y = -300x is the equation!
the equation y-7/2=1/2(x-4) is weitteb in point-slope form. what is the intercept of the equation? PLEASE HELP
Answers
Answer:
1/2 is the answer.......
Evaluate the expression below if x = -2, y=3, and z= -4
8xy
Answers
Answer:64
Step-by-step explanation:8(-2)(-4)
64
HELP ASAP I HAVE TO GET IT DONE!!
Solve for x in the diagram below
Answers
Need help anyone know how to do this
Answers
0/2 = 0
Y Coordinate: (b + b)/2
2b/2 = b
Midpoint: (calculated x, calculated y)
In this case, the midpoint should be (0, b)
PLEASE ANSWER FAST !!!!!!!!!!!!!!
A line passes through (3, 7) and (6, 9). Which equation best represents the line?
y = 3 over 2x + 5
y = 2 over 3x + 5
y = 3x + 2
y = 2 over 3x + 2
Answers
Answer:
B. [tex]y = \frac{2}{3} x + 5[/tex]
Step-by-step explanation:
Let's use the slope equation first. The slope equation is as follows:
[tex]\frac{y2-y1}{x2-x1} = slope[/tex]
This is what is given in the equation:
Point (3,7)Point (6,9)Let's label each component of the equation using these points:
y2 = 9
y1 = 7
x2 = 6
x1 = 3
Now, plug these into the equation
[tex]\frac{9-7}{6-3} = \frac{2}{3}[/tex]
We can now eliminate A and C of the answer choices.
Now let's find the y intercept
Right now we have the following equation
[tex]y = \frac{2}{3} x+ (y intercept)[/tex]
In order to find the y intercept we need to plug in one of the given points into the equation. Let's use point (3,7).
The equation should look like this now:
[tex]7 = \frac{2}{3}(3) + (yintercept)[/tex]
Now lets solve for the y-intercept
[tex]7 = \frac{2}{3}(3) + (yintercept)\\7 = \frac{6}{3} + (yintercept)\\7 = 2 + (yintercept) \\5 = yintercept[/tex]
Now that we found the y-intercept is 5 we have our full equation!
[tex]y = \frac{2}{3} x + 5[/tex]
Hope this helps!!
- Kay
-3v-2=-2-8v+5v How many solutions? Will mark brainlest
Answers
Answer:
infinite solutions
Step-by-step explanation:
-3v-2=-2-8v+5v
Combine like terms
-3v-2 = -2 -3v
Add 3v to each side
-3v-2+3v = -2 -3v+3v
-2 = -2
Since this is always a true statement, there are infinite solutions
❗️URGENT NEED ASAP❗️
Given functions,
f(x) = -5x – 14 g(x) = -02 + 9x - 1
find f(9) + g(-2)
Answers
Answer:
Step-by-step explanation:
❗️URGENT NEED ASAP❗️
Given functions,
f(x) = -5x – 14 g(x) = -02 + 9x - 1
find f(9) + g(-2)
Answer:
Functions! Nice.
Step-by-step explanation:
This is a pretty simple concept.
What it wants you to do is to input those values inside the parentheses(9 or -2) into those equations for x. Then, you will have to add those values that you get.
If you didn't understand, watch and learn!
[tex]for x=9\\f(9)=-5(9)-14\\f(9)=-59\\[/tex]
Now try to do that for the second equation, but this time, have x as -2.
(I also can't solve the last one because I can't make sense of the equation. What is 02?)
Stay Safe!
P.S. When you find the answer to that second one, just add it to the first answer, and you'll get the final answer.
please help me with this, thank you so much!!
Answers
Answer:
a. 55.5
b. 12
Step-by-step explanation:
a. 94+17=111
180-111=69
2x+69=180
2x=111
x=55.5
b. 180-90=90
5x-7+x+25= 90
6x+18=90
6x=90-18
6x=72
x=12
20 POINTS!!
(Also explain the reasoning you used to find the expression)
ILL MARK BRAINLIEST
Answers
Answer: your answer is 400 yd's and please pick me for brainliest
Step-by-step explanation:
40 × 10 = 400
9514 1404 393
Answer:
6x^2 +64x yd²
Step-by-step explanation:
The total horizontal width is ...
w = (x -2) +(3x) = 4x -2 . . . yards
So, the width of the downward-extending leg at right is ...
(4x -2) -(2x -2) = 2x
The total vertical height is ...
10 yds + 40 yds = 50 yds
So, the height of the downward-extending leg at right is ...
50 -3x . . . yards
__
Then the empty rectangle at upper right has an area of ...
A = LW = (3x yds)(10 yds) = 30x yd²
and the empty rectangle at lower left has an area of ...
A = LW = (2x -2 yds)(50 -3x yds) = -6x^2 +106x -100 yd²
__
The total area is the product of overall width and overall height, less the areas of the two empty rectangles:
A = (4x -2 yds)(50 yds) -30x yd² -(-6x^2 +106x -100) yd²
A = 6x^2 +64x yd² . . . . . area of the proposed parking lot
What is the remainder when 4x3+8x−32 is divided by x+10?
Answers
After school, Maya and Naomi headed to the beach, 6 miles away. Maya decided to bike while Naomi took a bus. The graph below shows their journeys, indicating the time and distance traveled. What was the difference, in miles per hour, between Naomi's and Maya's average speeds?
Answers
Answer:
20
Step-by-step explanation:
hello just grinding