a. 40
b. 50
c. 60
d. 140

A. 40b. 50c. 60d. 140

Answers

Answer 1

Answer:

ans: option D

Step-by-step explanation:

exterior angle of triangle is equal to sum of opposite interior angle I.e

angle ACD= angle CAB + angle ABC

Answer 2

Answer:

d

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ACD is an exterior angle of the triangle, then

∠ ACD = 80° + 60° = 140° → d


Related Questions

Find the surface area of the prisms below to create a riddle then scan the qr code to answer the riddle round the nearest tenth if necessary

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the prisms and the riddle are not given.

The riddle aspect of the question cannot be attempted, else there are clues.

So, I will give a general rule on how to calculate the surface areas of prisms.

For rectangular prisms, the surface area is:

[tex]Area = 2*(Length * Width + Length * Height + Width * Height)[/tex]

For the attached rectangular prism, the area is:

[tex]Area = 2 *(10*11 + 11 * 15 + 10 * 15)[/tex]

[tex]Area = 2 *(425)[/tex]

[tex]Area = 850m^2[/tex]

For triangular prisms, the surface area is:

[tex]Area = L + 2 * B[/tex]

Where

[tex]L \to[/tex] Lateral Area

[tex]B \to[/tex] Base Area

The area of the attached triangular prism is:

[tex]L = (a + b + c) * h[/tex]

[tex]L = (6 + 8 + 10) * 12[/tex]

[tex]L = 24 * 12[/tex]

[tex]L = 288[/tex]

[tex]B = \frac{1}{2} * bh[/tex]

[tex]B = \frac{1}{2} * 6 * 8[/tex]

[tex]B = 24[/tex]

So, we have:

[tex]Area = L + 2 * B[/tex]

[tex]Area = 288 + 2 * 24[/tex]

[tex]Area = 288 + 48[/tex]

[tex]Area = 336ft^2[/tex]

which choices are equivalent to the expression below? check all that apply. rad -9 A.3i B.-3 C.irad-9 D.-rad9​

Answers

Given:

Consider the expression is:

[tex]\sqrt{-9}[/tex]

To find:

The equivalent expression.

Solution:

We have,

[tex]\sqrt{-9}[/tex]

It can be written as:

[tex]\sqrt{-9}=\sqrt{-1\times 9}[/tex]

[tex]\sqrt{-9}=\sqrt{-1}\times \sqrt{9}[/tex]

[tex]\sqrt{-9}=i\times 3[/tex]                 [tex][\because \sqrt{-1}=i][/tex]

[tex]\sqrt{-9}=3i[/tex]

The expression [tex]3i[/tex] is equivalent to the given expression.

Therefore, the correct option is A.

Point P is outside a circle with center O and is 10 cm from the center. The circle has a radius of 5 cm. Lines PA and PB are two different lines tangent to the circle at points A and B.

Find the measure of angle PAO. Round to the nearest whole degree

Find the measure of angle APO. Round to the nearest whole degree

Find the measure of angle AOB. Round to the nearest whole degree

Find PB rounded to the nearest tenth.

Answers

9514 1404 393

Answer:

∠PAO = 90°∠APO = 30°∠AOB = 120°PB ≈ 8.7

Step-by-step explanation:

A tangent makes a right angle with the radius to the point of tangency. Hence ∠PAO is 90°. The ratio of the short side (OA) of the right triangle OAP to the hypotenuse (OP) is 5 : 10 = 1 : 2. These are the ratios found in a 30°-60°-90° triangle, so we know that ∠APO = 30°.

OP is a bisector of angle APB, so that angle is 60°. Angle AOB is the supplement to angle APB, so ∠AOB = 120°.

__

As we said above, triangle OAP is a 30°-60°-90° triangle, so its side lengths have the ratios 1 : √3 : 2. This means PA = PB = 5√3 ≈ 8.7.

Natasha is 50 m due east of Michelle. Natasha walks 20 m due north, and Michelle walks 10 m due
south. Find the distance and bearing of Michelle from Natasha now.
Please use diagrams to explain.

Answers

Answer:

Let's define East as the positive x-axis and North as the positive y-axis.

If Michelle's initial position is (0, 0)m

We know that Nathasha is 50m due East of Michelle.

Then the position of Natasha is (50, 0)m

Now we know that Natasha walks 20m due North, then the new position of her's is:

(50, 0 + 20)m = (50, 20)m

While Michelle walks 10m due South (South would be the negative y-axis, then we subtract 10 meters)

Michelle's new position will be:

(0, 0 - 10)m = (0, -10)m

Now we want to know the distance and bearing of Michelle from Natasha.

First, remember that the distance between two points (a, b) and (c, d) is given by:

Distance = √( (a - c)^2 + (b - d)^2)

Then the distance between Michelle and Natasha is:

Distance = √( (50m - 0m)^2 + (20m - (-10m))^2)

Distance = √( (50m)^2 + (30m)^2) = 58.31m

Now to find the bearing you can see the image below:

Point B is Michelle's position and point A is Natasha's position.

To find the bearing, we can make a triangle rectangle as the one shown in the image:

Also remember the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus).

Where the opposite cathetus is the difference between the x-values of each position, this is:

opposite cathetus = 50m - 0m = 50m

And the adjacent cathetus is the difference between the y-values, this is:

adjacent cathetus = 20m - (-10m) = 30m

Then:

Tan(a) = 50m/30m

Tan(a) = 5/3

Now if we apply the inverse Tan function to both sides, Atan(x) we get:

Atan(Tan(a)) = Atan(5/3)

a = Atan(5/3) = 59°

So the bearing is of 59°.

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP ASAP PLSSS

Answers

Answer:

63

Step-by-step explanation:

mark me brainliest plzzz

[tex]\sf\purple{The\:value\:of\:x\:is\:63.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{3}{8} = \frac{x}{168} \\ \\ ✒ \: \frac{3 \times 168}{8} = x \\ \\ ✒ \: \frac{504}{8} = x \\ \\✒ \: 63 = x[/tex]

Therefore, the value of [tex]x[/tex] is 63.

[tex]{ \bf{ \underbrace{To\:verify:}}}[/tex]

[tex] \frac{3}{8} = \frac{63}{168}\\ \\✒ \: 0.375 = 0.375 \\ \\✒ \: L.H.S.=R. H. S [/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

In the data set below, what is the mean absolute deviation? 3,1,9,9,7

Answers

It’s going by 2 points
It is going by two points

please help! 10 points, thank you

Answers

Answer:

261.5 ft^2

Step-by-step explanation:

Surface Area of a rectangular prism = Length x Width x Height

= 8.5ft x 6ft x 5.5ft

= 261.5 ft

Find the L.CM of 36,60,126​

Answers

Answer:

1260

hope this helps

have a good day :)

Step-by-step explanation:

Step-by-step explanation:

2 x 2 x 3 x 3 x 5 x 13

= 2340

................

4 - (x + 1) = 6

Someone please help :^:

Answers

Hope this helps please mark me brainliest

Answer:

x = -3

i need help u guysss

Answers

Answer:

Step-by-step explanation:

3 = 1(1 + x)^4

let q = 1 + x

3 = q^4

ln(3)  = 4  ln(q)

ln(3)/4 = ln(q)

.274 = ln(q)

q = e^.274 = 1.316

x = .316

Future amount = 48(1+.316)^4

Future amount = 143.96

complete the following proof by filling in the missing parts. NO LINKS

Answers

Answer:

below

Step-by-step explanation:

a.. it divides the triangle into two equal parts

b.. it is an isosceles triangle

c.. the base line of a mid point are equal

d.

g. two angles are equal in isosceles triangle

3 · 32 + 8 ÷ 2 − (4 + 3)

A.
30
B.
23
C.
24
D.
32

Answers

Answer:

3.32+8÷2-(4+3)

=3.32+8÷2-7

=3.32+4-7

=7.32-7

=0.32

this is the correct answer but unfortunately it's not in the options, maybe you need to check the options again :)

I need to show my work but I don’t know how to do these can someone help me??

Answers

Use cymath.com it shows the steps to copy

When the outlier(s) are removed, how does the mean change?

The mean decreases by 1.9.
The mean increases by 2.4.
The mean increases by 1.9.
There are no outliers.

Answers

Answer:

The mean increases by 2.

Step-by-step explanation:

Find the area of the similar figure.
Will vote brainliest for correct answer!​

Answers

Answer:

60 cm^2

Step-by-step explanation:

let are of big figure be x .

area of small figure / area of big figure = 15 / 18

50/x = 15/18

do cross multiplication

x*15 = 18*50

x = 900/15

x = 60 cm^2

A sequence has a second term of 1 and a common difference of -3.

The fifth term of the sequence is _____.

A)-11
B)-8
C)-5
D)10

Answers

The Answer is B

1-3=-2. Third term
-2-3=-5. Fourth term
-5-3=-8. Fifth term

Answer:

B

Step-by-step explanation:

firstly as we know that,

nth term of an A.P. is n= a1 + (n-1)d

here d is -3 so, A1 = 1-(-3) = 4

so, 5th term = 4 + ( 5-1)( -3) = 4 + 4(-3) = 4 - 12 = -8

so the answer is -8 which is option B.

Hope this answer helps. I got a little help from my tutors on Gauthmath app which is really good. you can check it out too. :)

Need help quick and fast!

Answers

(1) step by step below
Answer: 5a+2b+10

=a(6-1)+3b-b(2-1)+10
=a•5+3b-b•1+10
=5a+3b-b+10
=5a+2b+10

Kyle has two snakes fluffy is 2 meters long. Muffy is 900 millimeters long. Compare their lengths to fill in the blanks.

Answers

Answer:

Fluffy is longer than Muffy

Step-by-step explanation:

There are 1000 millimeters in a meter

Fluffy = 2000 millimeters

Muffy = 900 millimeters

Fluffy is longer than Muffy

2000 > 900

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Fluffy is longer than Muffy

There are 1000 millimeters in a meter

There are 1000 millimeters in a meterFluffy = 2000 millimeters

There are 1000 millimeters in a meterFluffy = 2000 millimetersMuffy = 900 millimeters

There are 1000 millimeters in a meterFluffy = 2000 millimetersMuffy = 900 millimetersFluffy is longer than Muffy

There are 1000 millimeters in a meterFluffy = 2000 millimetersMuffy = 900 millimetersFluffy is longer than Muffy2000 > 900

Two toy rockets are launched straight up into the air. The height, in feet, of each rocket at t seconds after launch is given by the polynomial equations shown. Write an equation to find the "difference" in height of Rocket A and Rocket B. Rocket A: -15t^2 + 100t and Rocket B: -14t^2 + 85t+3.

Answers

Given:

The height, in feet, of each rocket at t seconds after launch is given by the polynomial equations:

Rocket A: [tex]-15t^2+100t[/tex]

Rocket B: [tex]-14t^2+85t+3[/tex]

To find:

The equation to find the "difference" in height of Rocket A and Rocket B.

Solution:

The difference in height of Rocket A and Rocket B is:

Difference = Height of Rocket A - Height of Rocket B

[tex]\text{Difference}=(-15t^2+100t)-(-14t^2+85t+3)[/tex]

[tex]\text{Difference}=-15t^2+100t+14t^2-85t-3[/tex]

[tex]\text{Difference}=(-15t^2+14t^2)+(100t-85t)-3[/tex]

[tex]\text{Difference}=-t^2+15t-3[/tex]

Therefore, the difference in height of Rocket A and Rocket B is [tex]-t^2+15t-3[/tex].

The graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k: a parabola with a vertex of 4, negative 2 What is the value of k?

Answers

Answer:

k = -2

Step-by-step explanation:

f(x) = (x − h)² + k

(h, k) is the (x, y) coordinate of the vertex

For a vertex of (4, -2)

h = 4

k = -2

The population of rabbits on an island is growing exponentially. In the year 1998, the population of rabbits was 9400, and by 2006 the population had grown to 32000. Predict the population of rabbits in the year 2011, to the nearest whole number.

Answers

Answer: 68,819 rabbits

Step-by-step explanation:

First find the annual rate of growth that took the number of rabbits from 9,400 in 1998 to 32,000 in 2006.

Use the future value formula:

Number of years = 2006 - 1998 = 8 years

Future value formula:

Future value = Current value * ( 1 + rate) ^ number of years

Assume 2006 is the future and 1998 is present.

32,000 = 9,400 * (1 + r) ⁸

32,000 / 9,400 = (1 + r)⁸

(1 + r)⁸ = 3.404255319

1 + r = ⁸√3.404255319

r = ⁸√3.404255319 - 1

r = 16.55%

Use that rate to find the number of rabbits in 2011:

= Current value * (1 + rate) ^ number of years

Number of years = 2011 - 2006 = 5 years

= 32,000 * ( 1 + 16.55%)⁵

= 68,819 rabbits

a bag with 3 red marbles,4 blue marbles and 5 yellow marbles.what is the probability you draw a blue marble?

Answers

Answer:

4/12

Step-by-step explanation:

add up all the marbles, and take how many blue marbels there are and put both numbers in fraction form

In the diagram of right triangle ABC, AB = 4 and BC = 7.
What is AC, to the nearest hundredth?
1
5.74
2
5.75
3
8.06
8.08

Answers

Answer:

5.74

Step-by-step explanation:

The value of AC in the given right triangle is 5.74 units.

What is Pythagoras theorem?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle) - a² + b² = c².

Given that, the right triangle ABC, AB = 4 and BC = 7.

According to Pythagoras theorem,

AC² = AB²+BC²

AC² = 7²+4²

AC = √33 = 5.74

Hence, The value of AC in the given right triangle is 5.74 units.

For more references on Pythagoras theorem, click;

https://brainly.com/question/343682

#SPJ2

What is the value of x in the equation ?

Answers

Answer: x=2

Step-by-step explanation:

15x-10=10 + 6+ 2x

15x-2x=20+6

13x=26

X=2

Answer:

x = 2

Step-by-step explanation:

2.5(6x - 4) = 10 + 4(1.5 + 0.5x)

Distribute the 2.5

15x - 10 = 10 + 4(1.5 + 0.5x)

Distribute the 4

15x - 10 = 10 + 6 + 2x

Combine like terms

15x - 10 = 16 + 2x

Add 10 to both sides

15x = 26 + 2x

Subtract 2x from both sides

13x = 26

Divide both sides by 13x

x = 2

WILL MARK AS BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

mulitiply by 2

Solve: x/2 = -10
the / means divided

Answers

Answer:

x=-20

Step-by-step explanation:

x=-10•2

• means multipled

Elisa decided to take a vacation. The distance she plans to travel each day will form a geometric sequence

Answers

it’s not complete! Maybe a picture would help

Y-intercept = 5
Slope = 3

Answers

Answer:

the equation as intercept form is

y = 3x + 5

y= 3+5 is the answer hope u get it right

Which side lengths do not form a right triangle?
a. 5, 12, 13
b. 10, 24, 28
c. 15, 36, 39
d. 50, 120, 130

Answers

Answer:

B.

Step-by-step explanation:

28 is not a multiple of 13.

find the value of Y
.....

Answers

Answer:

[tex] y = 6 \sqrt{3} \: units[/tex]

Step-by-step explanation:

In order to find the value of y, first we need to find the length of the perpendicular dropped from one of the vertices of the triangle to its opposite side.

By geometric mean theorem:

Length of the perpendicular

[tex] =\sqrt{9\times 3}[/tex]

[tex] =\sqrt{27}\: units [/tex]

Next, by Pythagoras theorem:

[tex] {y}^{2} = {9}^{2} + {( \sqrt{27} )}^{2} \\ \\ {y}^{2} = 81 + 27 \\ \\ {y}^{2} = 108 \\ \\ y = \sqrt{108} \\ \\ y = \sqrt{36 \times 3} \\ \\ y = \sqrt{ {6}^{2} \times 3} \\ \\ y = 6 \sqrt{3} \: units[/tex]

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