One angle of a triangle measures 24 more than the smallest angle in the triangle. The third angle measures twice the measure of the smallest angle.

What is the measure of the smallest angle?

24

39

52

54

Answers

Answer 1

Answer:

smallest   angle measure 39 degrees

Step-by-step explanation:

the sum of the three interior angles in a triangle is always 180°

x= smallest

x +x+24 + 2x = 180

4x +24 = 180

4x = 156

x = 39

Answer 2

Answer:

B. 39°

Step-by-step explanation:

x + 24 + 2x + x = 180 is the equation I'll use.

x + 24 + 2x + x = 180 {Step 1: Combine 2x, x, x to get 4x.}

4x + 24 = 180 {Step 2: Subtract 24 from both sides (180 - 24 = 156)}

4x = 180 - 24

4x = 156 {Step 3: Divide both sides by 4 (156 / 4 = 39)}

x = 156/4

x = 39

The smallest angle is 39°. (The other two angles are 63° and 78°, respectively.)


Related Questions

The planet venus is on average 2.5x10^7 kilometers from earth. The planet mars is on average 2.25x10^8 kilometers from earth. What is the average distance from venus to mars?

Answers

Answer:

The average distance from venus to mars is 2.5x10⁸ kilometers.

Step-by-step explanation:

We know:

d₁: average distance between venus and earth = 2.5x10⁷ km

d₂: average distance between mars and earth = 2.25x10⁸ km

We can find the average distance from venus to mars as follows:

[tex] d_{t} = d_{1} + d_{2} [/tex]

First, we need to equal the base power 10 so we can sum both distances:

[tex]2.25 \cdot 10^{8} = 2.25 \cdot 10^{7} \times 10 = 22.5 \cdot 10^{7} km[/tex]      

Now, average distance:

[tex]d_{t} = 2.5 \cdot 10^{7} + 22.5 \cdot 10^{7} = (2.5 + 22.5) \cdot 10^{7} = 25 \cdot 10^{7} km = 2.5 \cdot 10^{8} km[/tex]

Therefore, the average distance from venus to mars is 2.5x10⁸ kilometers.

I hope it helps you!              

Identify a diameter of circle E. A) AC B) HI C) EB D) GF

Answers

Answer:

B) HI

Step-by-step explanation:

brainliest goes to whoever answers the question correctly also if you want more points answer my other questions

Answers

Answer:

D

Step-by-step explanation:

I am pretty sure it is D because the numbers on the chart don't seem inconsistent. You go from 11 to 2 which would give a big drop so it wouldn't be a linear function.

Please help me find area of circle

Answers

Answer:

12.568m^2

Step-by-step explanation:

A=πr^2 where r is. radius

=3.142(2^2)

=3.142(4)

=12.568m^2

Answer:

8m

Step-by-step explanation:

Helpp plsss I neeed to finish this test ASAP plssssssss thank youu helpp me with this question

Answers

Answer:

try 19.8

Step-by-step explanation:

Henry is planning to attend a public university after he graduates from high school in 3 years. He is devising a plan to save money each month to help with the expenses of attending the university. The cost of attending the public university for one-year is $26,500. His family has promised to contribute $13,450 each year he is in school. What is the minimum amount of money Henry must contribute to his savings per month for the next 3 years to have enough money to pay for his first year of tuition?

a
$501.32
b
$362.50
c
$294.38
d
$482.35

Answers

option b) 362.50
subtract the amount his parents are giving from the original cost of tuition and the divide by the number of months he had to save

Write the equation of the line that goes through the point (-2, 8) with a slope of 1/2

Answers

Answer:

The answer is Y = 1/2x + 9

Step-by-step explanation:

The general equation with a slope and intercept is:

y=mx+b

We are given a slope of 1/2, which represents the "M" part of the equation.

So we have:

Y = 1/2x + b

We do not know what "b" is, so the equation is not complete.

We plug in "-2" for X and "8" for Y:

8 = 1/2 (-2) + b

b = 9

So, the full equation is: Y  = 1/2x + 9

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

30 m

Step-by-step explanation:

Picture the question as a triangle

The length of the string is the hypotenuse, 60 m

The angle from the ground is 30

The right angle C is from the height of the kite to the ground

The missing angle A 60 is located on the top of the kite

now find b, the height

The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(A)=adj/hyp

cos(A)=b/c

b=c*cos(A)

b=60*cos(60)

b=30

a flower garden is in the shape of an equilateral triangle. each side measures 15 3/8 ft. what is the gardens perimeter

Answers

Answer:

16.125 is the perimeter

Step-by-step explanation:

Multiply 15.375 × 3 because a triangle has three sides and is equilateral.

15.375 × 3 = 16.125

Have a great day!

I HAVE 13 MINS LEFT HURRY PLEASE

If $3,200 is invested at a rate of 5.5%, compounded quarterly, calculate the value of the investment after

4 years. Round to the nearest dollar.




Hint: Use the formula below

A=P(1+r/n)^nt

Answers

Answer:

A = $13,366.37

A = P + I where

P (principal) = $10,000.00

I (interest) = $3,366.37

Step-by-step explanation:

Answer:

$3964

Step-by-step explanation:

A=P(1+r/n)^nt

So 3964(1+.055)^4

Comes out to 3964.238882. Then round

Hope this helps

Brainliest would be appreciated

What is the volume of the prism in cubic inches ?
what is the surface area in square inches ?

Answers

Answer:

Step-by-step explanation:

Volume

V = B * h

B = 1/2 a * b

Solution

Area of Triangles = B = 1/2 * 6 * 8

Area of Triangles = B = 24 square inches

Volume = B * H

Volume = 24 * 12

Volume = 288 cu in

Surface Area

Triangles

Area of one triangle = 24 square inches [ See Above ]

Area of two triangles = 48 square inches

Left Side

Area = L * W

L = 12

W = 8

Area = 12 * 8

Area = 96

Right side

Area = L * W

L = 12

W = 6

Area = 12 * 6

Area = 72

Area Back

L = 12

W = 10

Area = 12 * 10

Area = 120

Total = 120 + 72 + 96 + 48 = 336 square inches

How long could a student take to paint their canvas if they are slower than 75% of the other students?

Answers

Answer:

multiply the other kid's time by 3/4

Step-by-step explanation:

there's some info missing but hope this helps!

Abby and Bill share a 20-ounce bucket of clay. By the end of the week, Abby has used

1/10

of the bucket, and Bill has used

2/5

of the bucket of clay. How many ounces are left in the bucket?

Answers

Answer:

A little brain/willpower.....Im sure you can figure it out!!!

someone help please :)!

Answers

Answer:

Picture again the pic is blurd

Someone help me with this pls

Answers

Answer:

5-² is your correct answer

Answer:

=5^10/5^12

= 5^10-12

=5^-2

(NO LINKS PLEASE) Look at the attached photo. Imagine that at the intersection of ry_EG and ln_DF we placed a point M. Which of the following most completely describes the new elements have we created?

A. B. C. two rays
D. one angle
E. ry_MD and ry_MF
F. ry_MG

Answers

Answer:

Hi, I can't help you with this sorry ( I suck at maths) but I think we have the same biology work so do you mind maybe helping each other? I would love somebody to talk to and to meet someone so we can work together :) Currently, I am doing an online school and have no friends :( I would really appreciate it if you took your time to contact me!

Thank u <3

(Sorry for taking the points I don't really use mine so if you want I can make a question like 2+2 so I can give you even more points)

find the value of x. round your answer to the nearest tenth.

Answers

Answer:

The answer is A. 77.

Step-by-step explanation:

Using trigonometry formula

We know, tan = opposite/adjacent

So, tan x° = 13/3

=> x° = [tex]tan^{-1}[/tex](13/3)

∴ x° = 77.005° 77.01°

Answer:

A 77

Step-by-step explanation:

Which of the following would use a histogram to represent the data?
speed of car
state of license on car
type of car
car color

Answers

Speed of car... I believe

Answer:

Speed of car most likely

Step-by-step explanation:

20 points! pls helppppp it's almost recognition day for me!!

I'm sorry but i'm bad at math ;-;

using the given figures, find the values of the unknown variables

(PROVING ISOSCELES TRAPEZOID)​

Answers

1. x = 21, y = 103
2. x = 32, y = 52
3. x = 4, y = 5
assuming that all the shapes are regular

Every day, Jackie practices basketball and guitar. Each day,
she practices basketball for 1.5 hours. If after 6 days she
practiced both basketball and guitar for a total of 21
hours, how many hours per day did Jackie practice guitar?

Answers

i think the answer is 8. not completely sure tho

Find the area of a circle with radius, r = 5.78m.
Give your answer rounded to 2 DP.​

Answers

Answer:

104.96

Step-by-step explanation:

Hope this helps :)

Help please. Find the area of this circle

Answers

Answer:

8

Step-by-step explanation:

I need help with this answer

Answers

Answer:

less than or equal to

Step-by-step explanation:

Answer:

less equal to. hope it helps

What is the length of the line?
Choose 1 answer:

Answers

Answer:

√29

Step-by-step explanation:

We can use the pythagorean theorem to find the length of this line. You can draw a vertical line downwards from the higher point and a horizontal line towards the left from the lower point. This will create a right triangle. Wd can count the lengths of the legs, getting 2 and 5. We can substitute these values in the pythagorean theorem:

a^2 + b^2 = c^2

2^2 + 5^2 = c^2

4 + 25 = c^2

c^2 = 29

c = √29

Since c is the hypotenuse and is the same length of the line, the line is √29 units long

The diameter of Circle X is 18 cm. The diameter of Circle Y is 29 cm. Which circle has the greater area and by how​ much? Use 3.14 for . Use pencil and paper. Describe two ways you can compare the areas of two circles. Explain when you might prefer to use each.

Answers

Y has a bigger area, 660.185 while x is, 254.34
The difference is 405.845

Create an equation which contains the solution (-1,3)

Answers

An equation 6x-(-2)y=0 where x = -1 and y = 3

Answer:

3x + y =0

Step-by-step explanation:

We need to create equation whose solution is (-1,3) . So let another point through which it passes be ( 0,0) .

Since at least two points are required for making a line .

Slope :-

=> m = -1-0/3-0

=> m = -1/3

Using point slope form :-

=> ( x - x1) = m( y - y1)

=> ( x - (-1)) = -1/3( y - 3)

=> (x + 1 )3= -y + 3

=> 3x +3 = -y + 3

=> 3x + y = 0

✔️ Checking :-

(-1,3)

=> 3(-1) + 3 = 0

=> -3+3=0

=> 0 = 0

Hence the equation can be 3x + y = 0 .

HELP ASAP PLEASEE!!
Simplify this expression.

5^6 x 5^-2 over 5^-7

a
5^1
b
5^11
c
5^-3
d
5^-19

Answers

Answer:

5^6 × 5^(-2) × 5^(-7)

= 5^{6+(-2)+(-7)}

= 5^{6-2-7}

= 5^(-3)

Option c 5^-3

the perimeter of a square is 32cm. find the area​

Answers

Answer:

64 cm

Step-by-step explanation:

If the perimeter of a square is 32cm. Each side is the same length, and there are 4 sides. 32÷4=8

Each side equals 8. 8•8=64 The area is 64cm.

HELP
Suppose that a random parabola has a maximum vertex at (-7, 1). What
would be the value of the Axis of Symmetry for this parabola?
EXPLAIN

Answers

Answer:

x = -7   or   y = 1

Step-by-step explanation:

Since we are not given the actual formula for the parabola, we do not know in which direction the parabola is facing. The axis of symmetry is the value of the line that splits the parabola perfectly down the middle, to calculate this we need to know in which direction the parabola is facing. Since we do not have this information and only have the maximum vertex we can provide the two possible values for the Axis of Symmetry, which would be the following...

x = -7   or   y = 1

helppppppppp meeeeeeeeeeeee
hurry

Answers

Answer:

9 feet im pretty sure

Step-by-step explanation:

Answer:

yolo

Step-by-step explanation:

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