Use what you know about the angle sum theorem for triangles and your algebra skills to solve for x and find the measure of all three angles:

Use What You Know About The Angle Sum Theorem For Triangles And Your Algebra Skills To Solve For X And

Answers

Answer 1

Answer:

2x° = 45°, 3x° = 67.5°

Step-by-step explanation:

Sum of angles in a triangle = 180°

2x+3x+3x=180°

8x=180°

x=22.5°

2x=22.5°x2=45°

3x=22.5°x3=67.5°


Related Questions

Hey, can someone help me on this problem?

Answers

Answer:

1st one, 4th one, and 5th one

Step-by-step explanation:

Answer:

red, blue and purple

hey There!

for the first one

2*2=4

4*2=8

8*2= 16 so blue is correct

8*8=64 so cyan is not correct

2^8=256 so yellow is not correct

4*4=16 so red is correct

2^4 is the same as 2*2*2*2 which equals 16 so purple is also correct

An artist is painting flower pots that each require 1/32 gallon of paint. What is the maximum number of flower pots the artist can paint with 3/4 gallon of paint?

Answers

Answer:

24 flower pots

Step-by-step explanation:

Fraction of paint required per flower pot = 1/32

Number of pots that can be painted with 3/4 galoons of paint :

Total Fraction of paint had / fraction of paint required per flower pot

3/4 ÷ 1/32

3/4 * 32 / 1

(3*32) / 4

96 /4

= 24 flower pots

Use the equation below to answer the division question. A/b+(1/4x1/b)=1/2 What is 1/2 divided by a/b?

Answers

Answer:

[tex]\mathbf{\dfrac{2b- 1}{2b}}[/tex]

Step-by-step explanation:

[tex]\text{The given equation is:}[/tex]

[tex]\dfrac{a}{b}+ (\dfrac{1}{4} \times \dfrac{1}{b}) = \dfrac{1}{2}[/tex]

[tex]\text{To find:}[/tex]

[tex]\dfrac{1}{2} } \div {\dfrac{a}{b} }[/tex]

[tex]\text{From the given equation:}[/tex]

[tex]\dfrac{a}{b}+ (\dfrac{1}{4b}) = \dfrac{1}{2}[/tex]

[tex]\dfrac{a}{b} = \dfrac{1}{2} - (\dfrac{1}{4b})[/tex]

[tex]\dfrac{a}{b} = \dfrac{4b- 2}{(2) (4b)}[/tex]

[tex]\dfrac{a}{b} = \dfrac{4b- 2}{8b}[/tex]

[tex]\text{Now; the value of}[/tex] [tex]\dfrac{a}{b} \div \dfrac{1}{2}[/tex]

[tex]\implies \dfrac{4b- 2}{8b} \div \dfrac{1}{2}[/tex]

[tex]\implies \dfrac{4b- 2}{8b} \times \dfrac{2}{1}[/tex]

[tex]\implies \dfrac{4b- 2}{4b}[/tex]

[tex]\implies \dfrac{2b- 1}{2b}[/tex]

PLEASE HELP!! find the value of c

Answers

Step-by-step explanation:

step 1. so you want to convert a quadratic (ax^2 + bx + c) into a perfect square

step 2. therefore c is half of b then squared

step 3. (26/2)^2 = 169

step 4. (-22/2)^2 = 121

step 5. (-13/2)^2 = (-6.5)^2 = 169/4 = 42.25.

A ball is dropped from a height of 64 feet. Its height, in feet, can be modeled by the function h(t) = -16t2 + 64, where t is the time in seconds since the ball was dropped. A. After how many seconds will the ball hit the ground? B. What is a reasonable domain and range for this function?

Answers

Answer:

See solution below

Step-by-step explanation:

The ball will hit the ground at whrn t = 0

Given the height of the ball modeled by the expression

h(t) = -16t^2 + 64

0 =  -16t^2 + 64

16t^2 = 64

t^2 = 64/16

t^2 = 4

t = 2sec

The ball will hit the ground 2secs after

The domain are the values of the input values t and this values start from 2 and greater. Hence the domain of the function is {2, ∞}

when t = 2

h (2) = -16(2)^2 + 64

h(2) = -64+64

h(2) = 0

Hence the range are the output values i.e the height.

The range are within the range {0, ∞}

What is the radius of a sphere that has a surface area of 951.1 in2?
A. 6.4 in
B. 7.7 in
C. 9.8 in
D. 8.7 in

Answers

Answer:

FORMULA FOR SURFACE AREA OF SPHERE = 4 pi r^2  

r = 6 " area = 4 pi X 6 X 6 = 144 pi " squared  

r = 12 "  

area = 4 X pi X 12 X 12 = 576 pi" squared  

ANSWER Area will be 4 times the original

Step-by-step explanation:

Answer:

The answer is D. 8.7

Step-by-step explanation:

A=4πr2

Solving fore

r=1

2A

π=1

2·951.1

π≈8.69978in

May i get someone to help with these questions

6. If y = V 81, what is the value of y?
O A) 3
B) 9
C) 40.5
OD) 81

8. Only 54%of the people voted for senior class president. What part of the people didn’t vote?
A) 0.054
B) 0.046
C) 0.46
D) 0.54

Answers

Answer:

8) 0.46

Step-by-step explanation:

54% = 0.54 because 0.54*100 = 54% so 54%/100 = 0.54

100% - 54% = 46%

46%/100 = 0.46

You're #6 is unclear, what is V?

Find the missing side of this right triangle.

Answers

Answer:

13

Step-by-step explanation:

it's a 5,12,13 triangle

and we can find the sides by Pythagorean theorem:

a^2 + b^2 = root of c

25 + 144 = 169

root of 169 = 13

guys help i only have 10 more minutes left ;-;

Answers

Answer:

20

Step-by-step explanation:

12 = 6/10 x

120 = 6x

x = 20

Please help me with this and find x!! Thank you, only if you know!

Answers

Answer:

x = 9.8

Step-by-step explanation:

to find x, use pythagorean theorem

[tex]a^{2} = c^{2} - b^{2}[/tex]

[tex]a^{2} = 14^{2} - 10^{2}[/tex]

[tex]a^{2} = 196 - 100[/tex]

[tex]a^{2} = 96[/tex]

[tex]\sqrt{a^2} = \sqrt{96}[/tex]

[tex]a = 9.7979[/tex] ⇒ 9.8

Answer:

The value of x=4√6cm or √96cm

Step-by-step explanation:

According to Pythagoras theorem,

Hypotenuse²=Perpendicular²+Base²

H²=P²+B²

Hypotenuse given=14cm

Base=10cm

Perpendicular=x

14²=P²+10²

196=P²+100

196-100=P²

96=P²

√96=P

4√6cm=x

Please Help! Solve the equation for x.
1/3x-8= -12

A. x= -12

B. x= -6

C. x= 4

D x= 6

Answers

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{1}{3}[/tex] x - 8 = - 12 ( multiply through by 3 to clear the fraction )

x - 24 = - 36 ( add 24 to both sides )

x = - 12 → A

Please help! In the diagram below, lines l and k are parallel.




What is the measure, in degrees, of ∠ABC ?

Answers

Answer:

50

Step-by-step explanation:

x+95 = 4x-10 ( alternate angles)

or, 4x -x = 95+10

or, 3x = 105

x= 35

x+95 = 35+95 = 130

130 + ABC = 180 ( linear pair)

or, ABC = 180-130= 50

7. Tom weighs 168.5 pounds. His 2-year- old son, Nicholas, weighs 33.7 pounds. How many times as much as Nicholas does Tom weigh?

Answers

Answer:

Tom weighs 5 times as much as Nicholas

Step-by-step explanation:

To find how many times as much as Nicholas Tom weighs, we will divide Tom's weight by Nicholas' weight. This is done as follows:

Tom's weight = 168.5 pounds

Nicholas' weight = 33.7 pounds

Dividing both weights = 168.5 ÷ 33.7 = 5

∴ Tom weighs 5 times as much as Nicholas

Okay so i need to know the area of the rectangle on the inside its 5ft on the right side its 6ft and on the bottom its 5ft please and thank you :)

Answers

Answer:

30ft^2

Step-by-step explanation:

Area of a rectangle = Length * Width

Given

Length = 6ft

Width = 5ft

Substitute

Area of the rectangle = 6ft *5ft

Area of the rectangle = 30ft^2

Hence the area of the rectangle is 30ft^2

Please help me!
[One Step Inequalities]

Answers

12 > x+6
Subtract 6 from both sides.
Therefore, 6 > x and x < 6.

Answer:

x<6

Step-by-step explanation:

5. Which of the following will NOT produce a
Triangle?
A. angle measures of 47, 589, 85
B. angle measures of 61, 61, 58
C. side lengths of 5.5 ft, 11 ft, and 5.5 ft
D. side lengths of 5 in, 7 in, and 8 in

Answers

Answer:

A ) angle measures of 47 , 589 , 85

Step-by-step explanation:

a triangle can only be 180 degrees in total and the second number completely blows it out of that range

EDIT : even if there was a typo in the question , A would still equal 190 and thus make it not a triangle

The sum of two numbers is 20. When the second number is subtracted from the first number, the difference is 4. Find the two numbers. What are the two numbers?​

Answers

Answer:

12 and 8

Step-by-step explanation:

Answer:

12 and 8

Step-by-step explanation:

Which of the following functions is an example of an exponential function?
х
0
1
N
f(x)
2
4
6
8
g(x)
1
1
2
4
8
f(x) only
g(x) only
Both f(x) and g(x)
Neither f(x) nor g(x)

Answers

Answer:

g(x) only

Step-by-step explanation:

g(x) only is an exponential function

About how many more website hits were there on Saturday than on Friday?

Answers

Answer:

1,000 hits

Step-by-step explanation:

Saturday: 2,000 hits

Friday: 1,000 hits

2,000 - 1,000 = 1,000

Answer: 1,000 hits

Step-by-step explanation:

I just took the test, it's right.

3x = -6у + 3
2y = -x+1

Answers

Answer:

3x = -6у + 3 and   2y = -x+1 are the same

i dont know what the question is but this should help. they are the same line on  a graph

Step-by-step explanation:

3x = -6y + 3

2y = -x + 1 adding x on both sides and subtracting 2y on both sides

x = -2y + 1 multiply by 3

3x = -6y + 3

Here is an expression 3*2t.


Evaluate the expression when t is 1

Answers

Well if t is equal to 1, then it would be 3*2*1. And since the one can basically be disregarded, the answer would be 3*2

Alex and Bill share a 24-ounce box of cereal. By the end of the week, Alex has eaten 3 8 of the box, and Bill has eaten 1 4 of the box of cereal. How many ounces are left in the box?

Answers

Answer:

9 ounces.

Step-by-step explanation:

Answer:

12 ounces on the box

Step-by-step explanation:

l have tried

what is Arithmetic progression and geometric progression?




hope u have a great day!!​

Answers

Answer:

Arithmetic progression is a series of numbers in which each one varies from the one before it by a constant quantity

Geometric progression is a non-zero number sequence in which each term after the first is found by multiplying the previous term by a fixed, non-zero number known as the common ratio.

Hope you have a good day as well! <3

Which phrase represents the algebraic expression for n – 4?
A. The quotient of a number and four.
B. Four less than a number.
C. Four minus a number.
D. Four more than a number.

Answers

b, it is four less than a number

Step-by-step explanation:

B. Four less than a number.

Find the area of the composite shape.
1,323 cm squared
1,209 cm squared
955.5 cm squared
1,029 cm squared

Answers

Answer:

4. A = 1029 cm²

Steps:

A = (35×21)+(21+2×3.5)×21/2

A = 735 + (21+7)×21/2

A = 735 + 28×21/2

A = 735 + 588/2

A = 735 + 294

A = 1029 cm²

PLEASE HELP IM DESPRATE AND I CANT GET IT

Answers

Answer:

1

Step-by-step explanation:

1. 1

if you find -4 on the x-axis, the y value is 1.

what is the 3rd page?

5b2+28=
b=1.5
PLEASE HELP ME!!!

Answers

if b is 1.5 then sub it into the equation
5(1.5)(2)+28
=15+28
=43

Answer:

39.25

Step-by-step explanation:

I am assuming that 5b2 means 5b to the power of 2.

5(1.5)^2+28

5(2.25)+28

11.25+28

39.25

Order the following numbers from least to greatest : 2.67 5.28 1.73 4.92 2.56

Answers

Answer:

is this helpful i hope it is

What is the domain and range of this function?
f(x) = logs(x - 2) + 1
OA.
domain: x > -2; range: all positive real numbers
OB.
domain: x> 2; range: all positive real numbers
OC. domain: x>-2; range: all real numbers
OD. domain: x> 2; range: all real numbers

Answers

Answer:

Domain = x > 2 , Range = {R}

Step-by-step explanation:

The given function to us is ,

[tex]\implies f(x) = log_{10} ( x - 2 ) + 1 [/tex]

Since logarithm are defined only for positive numbers therefore ,

=> (x - 2) > 0

=> x > 2

Therefore the domain of the function is x > 2 and it can have all positive real numbers .

Please help me with this, it's urgent and due tonight (Ylasterdev125 do not try to answer this with your petty virus file)

Answers

Answer:

domain is (-1 , 2) and the range is (0 , 4)

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