The angle measurements in the diagram are represented by the following expressions

The Angle Measurements In The Diagram Are Represented By The Following Expressions

Answers

Answer 1

Answer:

x = 8 , ∠ B = 70°

Step-by-step explanation:

∠ A and ∠ B are alternate exterior angles and are congruent, that s

8x + 6 = 4x + 38 ( subtract 4x from both sides )

4x + 6 = 38 ( subtract 6 from both sides )

4x = 32 ( divide both sides by 4 )

x = 8

Then

∠ B = 4x + 38 = 4(8) + 38 = 32 + 38 = 70°


Related Questions

Ms. Castillo spent $87.75 on shrimp. The shrimp cost $9.75 per pound. How many pounds of shrimp did Ms. Castillo buy?

Answers

Answer:

9 pounds

Step-by-step explanation:

87.75 divided by 9.75 = 9

9

87.75 divided by 9.75 is 9, so she bought 9 pounds of shrimp

PLEASE HELP I WILL MARK BRAINLIEST

Answers

Answer:

1 or 2

Step-by-step explanation:

but om pretty sure its 2

Answer:

22

Step-by-step explanation: its 22 because 1/4 x 22= 5 1/2

Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the table feature to confirm that the coordinates of both points satisfy your equation.)
(10, 2) and (-3, 2)
a.
y = 2 x
b.
y = 2 x minus 3
c.
y = 2
d.
y = 2 x + 10



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

c). y = 2

Step-by-step explanation:

We can check a line by inputting the x and y from (x, y) into the equation.

For a. y = 2x we get

2 = 2*10 and 2 = 2*(-3), both of those are false

For b. y = 2x - 3 we get

2 = 2*10 - 3 and 2 = 2*(-3) + 10, both of those are false again

For c. y = 2 we get

2 = 2 and 2 = 2, both of those are true, so this is the right answer.

For d. y = 2x + 10 we get

2 = 2*10 + 10 and 2 = 2*(-3) + 10, both of those are false

Alternatively, we can solve the equation y = ax + b (this gives a single answer for any two points with different x's).

y = ax + b

We input (x, y) as (10, 2) and (-3, 2)

2 = a*10 + b = 10a + b

2 = a*(-3) + b = b - 3a

so we have

10a + b = b - 3a

13a = b - b

13a = 0

a = 0

Now we ca use a = 0 to solve either of the equations above:

2 = 10a + b

2 = 10*0 + b

2 = b

so with a=0 and b=2 we get the answer

y = 0*x + 2

y = 2

Which brings us to answer c. again.

What are the zero(s) of f(x + 3)?

Answers

Answer:

function f(x) = x + 3 has a zero at x = 3 since f(3) = 0.

Step-by-step explanation:

Given f(x) = 1/3(4 - x)2,what is the value of
f(16)?

Answers

Answer:

f(16)= -8

Step-by-step explanation:

f(16)= 1/3(4-16)2

Answer:

-8

Step-by-step explanation:

To answer this question, you must plug in the given 16 to the equation

f(16)= 1/3(4-16)2

f(16)= 1/3(-12)2

f(16)= 1/3(-24)

f(16)= -8

when would you solve by elimination?

Answers

Answer:

when its a linear equation

Step-by-step explanation:

Answer:

In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

Which expressions can be used to compute the approximate area of triangle XYZ? Check all that apply.

Triangle X Y Z has a base of 22 and a height of 23.1. The triangle also has a base of 31.9 and a height of 15.9.
One-half times 22 times 23.1
One-half times 15.9 times 23.1
One-half times 15.9 times 22
One-half times 22 times 31.9
One-half ties 15.9 times 31.9
One-half times 23.1 times 31.9

Answers

One-half times 22 times 23.1

One-half ties 15.9 times 31.9

The area of triangles is One-half times 22 times 23.1 and One-half ties 15.9 times 31.9. Then the correct options are A and E.

What is the triangle?

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Triangle X Y Z has a base of 22 and a height of 23.1.

Then the area of the triangle will be

[tex]\rm Area\ triangle = \dfrac{1}{2} \times 22 \times 23.1[/tex]

The triangle also has a base of 31.9 and a height of 15.9.

Then the area of the triangle will be

[tex]\rm Area\ triangle = \dfrac{1}{2} \times 15.9 \times 31.9[/tex]

More about the triangle link is given below.

https://brainly.com/question/25813512

A 64 ounce bottle of organic orange juice costs $14.72. What is the price
per ounce?
Anna typed 600 words in 15 minutes. How many words can she type per
minute?

Answers

A 64 ounce bottle of organic orange juice costs $14.72. What is the price

per ounce?;  0.23

Anna typed 600 words in 15 minutes. How many words can she type per

minute?; 40 words per minute

In cm, the lengths of the sides of a rectangle are 30 and 24. Find the nearest degree the measure of the angle formed by a diagnol and one of the longer sides

Answers

Answer:

38.42cm

Step-by-step explanation:

Given that the length of the sides of a rectangle are 30 cm and 24 cm.

The length of the diagonal can be obtiaed using Pythagoras rule

Length of the diagonal = hypotenus

Hypotenus = sqrt(opposite ² + adjacent ²)

Opposite and adjacent sides are 30cm and 24 cm

Hypotenus = sqrt(30² + 24²)

Hypotenus = sqrt(900 + 576)

Hypotenus = sqrt(1476)

Hypotenus = 38.419

Length of diagonal = 38.42cm

Answer:

find the size of angle O to the nearest degree

Mhanifa can you please help? This is due asap

Answers

Answer:

No

Step-by-step explanation:

ΔWXZ and ΔYVZ

Lets verify the ratio of corresponding sides:

WZ/YZ = XZ/VZ16/22 = 11/88/11 = 11/88² = 11²8 = 11

As we see the equation is false, so the triangles are NOT similar

x+10=2x-4 what does x=

Answers

X=14

Step by Step

x+10=2x-4
-x. -x

10=x-4
+4. +4

x=14

Answer:

x = 14

Step-by-step explanation:

x + 10 = 2x - 4

x + 10 - 10 = 2x - 4 - 10

x = 2x - 14

x - 2x = 2x - 2x - 14

- x = - 14

- x ÷ - 1 = - 14 ÷ - 1

x = 14

Can anyone answer this I need it ASAP plz

Answers

Answer: x = 13.4

Step-by-step explanation:

1. Subtract 90 degrees and 33 degrees to get angle X, which is 57 degrees.

2. Using Laws of Sine, plug in the known elements of the triangle:

(16) / (sin(90)) = (x) / (sin(57))

3. Cross multiply, this will leave 16sin(57) = xsin(90)

4. Divide sin(90) to the other side, leaving x = (16sin(57)) / (sin(90))

5. Plug this into a calculator and your final answer should be 13.4

The answer is x is equal to 13.4

Can someone please help me with math.

Answers

Answer:

16)  x = 11

17) C

Step-by-step explanation:

16) take square root of each side

17) look for the answer that has a +1 as the y-intercept and a positive slope

Using n = 3.14, find the area of a circle with a radius of 7.
Round your answer to the nearest hundredth.

Answers

Area of a circle = pi x r^2

Area = 3.14 x 7^2

Area = 3.14 x 49

Area = 153.86 square units.

Find the volume of the cone
Acellus

Answers

Answer:

Step-by-step explanation:

Volume of the cone

Height =2 √3

Base = 2cm

3. What is the simplified form of 4 V3 – V27?
?
A. -5V3
B. -7V3
C. V3
D. -V9
Please help me noww

Answers

Answer:

C

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplify [tex]\sqrt{27}[/tex]

= [tex]\sqrt{9(3)}[/tex]

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

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

Then

4[tex]\sqrt{3}[/tex] - 3[tex]\sqrt{3}[/tex]

= [tex]\sqrt{3}[/tex] → C

Factorise 5a^2-6a


^^^^^^^^

Answers

Answer:

a(5a - 6)

Step-by-step explanation:

5a² - 6a

Common factor: a

Factored:

a(5a - 6)

please help me with this math problem, the question is on the picture that i attached, ill mark brainliest if the answer is correct. NO links!

Answers

Answer:

cos z = 35 / 37

Step-by-step explanation:

cos z is the ratio of the adjacent side of a triangle (the side adjacent to angle z to the hypotenuse:

cos z = (adj. side) / (hypotenuse)

Here we have cos z = 35 / 37

Determine whether the conclusion is valid. Explain. You want to determine the number of students in your school who have visited a science museum. You survey 50 students at random. Twenty have visited a science museum, and thirty have not. So, you conclude that 40% of the students in your school have visited a science museum.

Answers

Answer: The conclusion is valid

Step-by-step explanation:

Number of students surveyed = 50

Number of students who visited a science museum = 20

Number of students who haven't visited a science museum = 30

Percentage of student that have visited a Science museum:

= 20/50 × 100

= 40%

The conclusion is valid based on the calculation.

What is the sum of the interior angles of the polygon pictured below?

Answers

The shape has 9 sides.

Sum of interior angles = (n-2) x 180, where n is the number of sides.

Sum of interior angles = (9-2) x 180 = 7 x 180 = 1,260 degrees.

Answer:

Solution :-

We have

Side of polygon = 9

So,

By using the formula

(n - 2) × 180

(9 - 2) × 180

7 × 180

1260⁰

[tex] \\ [/tex]

Can somebody plz help answer these questions correctly (only if u done this before) thx sm!

WILL MARK BRAINLIEST WHOEVER ANSWERS THESE FIRET :DDDD!

Answers

Answer:

Angle 6 = 46°

Angle 7 = 134°

Angle 8 = 77°

Step-by-step explanation:

Angle 6 = 180 - 134 (Due to the angles on a straight line add up to 180 property)

Angle 6 = 46°

Angle 7 = 180 - 46

Angle 7 = 134°

360 = 56+148+(2 x Angle 8)

2 x Angle 8 = 360-204

2 x Angle 8 = 156

Angle 8 = 78°

HELP MAX POINTS AND BRAINLIEST!!!! If y = 4x -2, what are possible inputs and outputs of the function? Complete the ordered pairs:
(0,__)
(-2, __)
(_,14)
(_,-14)
what type of function is it?​

Answers

Answer:

(0, -2)

(-2, -10)

(3, 14)

(-3, -14)

Linear Function

Step-by-step explanation:

Formula: y = 4x - 2

Plug in the values of x or y for each ordered pair:

y = 4(0) - 2

y = 0 - 2

y = -2

(0, -2)

y = 4(-2) - 2

y = -8 - 2

y = -10

(-2, -10)

14 = 4x - 2

12 = 4x

3 = x

(3, 14)

-14 = 4x - 2

-12 = 4x

-3 = x

(-3, -14)

What type of function is it?

Linear function

Why is it a linear function?

Refer back to the original formula given: y = 4x - 2. This is in slope-intercept form, or y = mx + b. This specific format informs graphers the line will be straight, or linear. You can also graph all of the ordered pairs to obtain a visual of a straight line, proving this function to be linear.

#1

y=4(0)-2y=-2

So pair is

(0,-2)

#2

y=4(-2)-2y=-10

Pair is (-2,-10)

#3

14=4x-24x=16x=4

pair is

(4,14)

#4

-14=4x-24x=-12x=-3

Pair is

(-3,-14)

7. A car drives 50 miles in the first hour on the road, 70 miles during the 2nd hour and 10 miles for 1/2 hour (traffic jam), then 60 miles in the final half hour of the trip. What was the average speed for the entire trip?

Answers

Answer:

Step-by-step explanation:

Average Speed = Total Distance / Total Time

Total Distance = 50+ 70 + 10 + 60 = 190 Miles

Total Time = 1 + 1 + 1/2 + 1/2 =  3 hours

Average speed = 190 / 3 = 63.3 mph

Use the following set of the data 20, 28, 30, 6, 15, 18, 21, 22, 25, 29, 24, and 26. What is the interquartile range of the data

Answers

Answer:

Hi! The answer to your question is 8

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

(2x-7)(5x+75)=0

Solve this using factoring, what are the two x’s?

Answers

Note : a × b = 0 ==》 a = 0 Or b = 0

_________________________________

( 2x - 7 )( 5x + 75 ) = 0

2x - 7 = 0 ===》 2x = 7 ===》 x = 7 / 2

===》 x = 3.5

Or

5x + 75 = 0 ==》 5x = - 75 ==》 x = - 75 / 5

==》x = - 15

Step-by-step explanation:

(2x-7)(5x+75)=0

2x(5x+75) -7 (5x+75)=0

10x^2 + 150x - 35x - 525 =0

10x^2 + 115x - 525 =0

5(2x^2 + 23x - 105 ) =0

2x^2 +30x-7x - 105 =0

2x ( x + 15 ) -7 ( x + 15) = 0

(2x-7) (x + 15) =0

so, 2x-7=0 and x+15 =0

x = 7/2 and x = -15

#cancelicseboardexam2021

help me!!!
what´s 20×20+3-4×20=

Answers

Answer:

7980

Step-by-step explanation:

3 7/8 + 5 1/2 PLEASE

Answers

Answer:

The answer is: 75/8   OR  if you want it simplified: 9 3/8

~hope this has helped you, have a gr8 day/night my friend!~

Step-by-step explanation:

75/8 that how much it is

Which statement describes the relationship, if any, that exists between triangle KLM and triangle NPQ?

Triangle L K M. Side K L is 16, L M is 22, K M is 12. Triangle P N Q. Side P N is 8, N Q is 6, P Q is 11. Angles L and P are congruent, Q and M are congruent, K and N are congruent.
They are similar because their corresponding angles are congruent and their corresponding side lengths are in the ratio Three-halves from Triangle K L M to triangle N P Q.
They are similar because their corresponding angles are congruent and their corresponding side lengths are in the ratio StartFraction 2 Over 1 EndFraction from Triangle K L M to triangle N P Q.
They are not similar because their corresponding angles are not congruent.
They are not similar because their corresponding side lengths are not proportional.

Answers

Answer: Similar steps  because their corresponding angles are congruent and their corresponding side lengths are in the ratio 2 Over 1 from Triangle K L M to triangle N P Q.

Step-by-step explanation:

Answer:

it's b on edge

Step-by-step explanation:

can some one help me plsss

Answers

Answer:

you can make any triangle from the above measures

You have total coins for a total of $. . You only have quarters and dimes. Let represent the number of quarters and represent the number of dimes.

Answers

Answer:

[tex]Quarters = 41[/tex]

[tex]Dimes = 18[/tex]

Step-by-step explanation:

Given

[tex]Coins = 59[/tex]

[tex]Worth = \$12.05[/tex]

[tex]d = dimes[/tex]

[tex]q = quarters[/tex]

Required

The number of each coin

The total coins can be represented as:

[tex]d + q = 59[/tex]

[tex]1\ quarter = \$0.25 \\ 1\ dime = \$0.10[/tex]

So, the worth of the coin is:

[tex]0.25q + 0.10d = 12.05[/tex]

The equations to solve are:

[tex]0.25q + 0.10d = 12.05[/tex]

[tex]d + q = 59[/tex]

Make d the subject in: [tex]d + q = 59[/tex]

[tex]d =59 - q[/tex]

Substitute [tex]d =59 - q[/tex] in [tex]0.25q + 0.10d = 12.05[/tex]

[tex]0.25q + 0.10(59 - q) = 12.05[/tex]

[tex]0.25q + 5.9 - 0.10q = 12.05[/tex]

Collect like terms

[tex]0.25q - 0.10q = 12.05 - 5.9[/tex]

[tex]0.15q = 6.15[/tex]

Solve for q

[tex]q=\frac{6.15}{0.15}[/tex]

[tex]q=41[/tex]

Substitute [tex]q=41[/tex] in [tex]d =59 - q[/tex]

[tex]d = 59 - 41[/tex]

[tex]d = 18[/tex]

So:

[tex]Quarters = 41[/tex]

[tex]Dimes = 18[/tex]

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