If m∠ABC=7x-2 and ∠CDE=5x+16 are congruent, find m∠ABC?

Answers

Answer 1

Answer: m∠ABC = 61°

Step-by-step explanation: Since angles are congruent, make the equation

7x-2 = 5x + 16

7x-5x = 16 +2

2x = 19

x = 9

Substitute 9 for x

7(9) -2 = m∠ABC .    and      5(9) + 16 = m∠CDE

63-2 = 61° = m∠ABC             45 + 16 = 61   True!


Related Questions

Identify the values for the elements in the augmented matrix: A = a11 a12 a13 a21 a22 a23 a11 = a12 = a13 = a21 = a22 = a23 =

Answers

Answer:

a11= 3

a12= 7

a13= 20

a21= 1

a22= -4

a23= 9

Step-by-step explanation:

the answer on edge 2020

Answer:

A11 = 3, A12=7, A13 = 20, A21 = 1, A22 = -4, A23 = 9

Step-by-step explanation:

EDGE 2023

1). y= 1/5x + 1
2). y= 1/5x
3). y= 5x - 1
4). y= -1/5x

Answers

The answer is the 2nd one… y=1/5x

If (-3)^5 = 1/x, what is the value of x?

Answers

Step-by-step explanation:

(-3)^5 = 1/x

x = 1 ÷ (-3)^5

x = 1/ -243

x = -1/243

5*2+1+1= what I know the answer but people need points

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

10+1+1

Please help on Geometry

Answers

Answer:

A) Ray

Step-by-step explanation:

Because I know maths!

Chris earns a fixed amount of money every month. At the end of 2 years, Chris had earned $86,688.
He earned $_____ each year.
He earned $____every month.

Answers

He earned $43344 each year
He earned $ 3612 every month

The school principal is designing a square courtyard outside of school, separated into 4 equal spaces. She wants to know the total area of the courtyard. S = length (ft) of one wide of each space. Which expression shows the total area of the courtyard.

Answers

Answer:

4s^2

Step-by-step explanation:

Took it :3

A Square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given as side².

The area of one space is

The total area of the courtyard is 4S².

What is a square?

A Square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given as side².

Example:

The area of the square with a side of 2 cm is 4 square cm.

We have,

The school principal is designing a square courtyard outside of the school, separated into 4 equal spaces.

This means each space is also a square.

She wants to know the total area of the courtyard.

S = length (ft) of one side of each space.

This means,

The area of one space.

= S²

Now,

The total area of the courtyard.

= 4 x S²

= 4S²

Thus,

The total area of the courtyard is 4S².

Learn more about squares here:

https://brainly.com/question/22964077

#SPJ5

3. Do the following represent a function? Explain why or why not for each.​

Answers

Answer:

No and No

Step-by-step explanation:

Two x-intercepts match up to more than one y-intercept.

Which line coincides with y= 4x + 2?

Answers

Answer:

D. 8x - 2y = -4

Step-by-step explanation:

The line that coincides with the line represented by the equation, y = 4x + 2, is the line that has an equation that is equivalent to y = 4x + 2, or the line whose equation has the same slope (m) and y-intercept (b) as the line represented by the equation, y = 4x + 2.

A line equation is in the form of slope-intercept, is given as y = mx + b.

Thus,

The slope (m) of the line equation, y = 4x + 2, is 4, while it's y-intercept (b) is 2.

Compare each given option of line equation in their slope-intercept form, and check out which one has the same slope and y-intercept as y = 4x + 2, or has an equation equivalent to it.

Option 1: y = -4x + 2

Here, the slope (b) is -4, and y-intercept (b) is 2. This line doesn't coincide with y = 4x + 2.

Option 2: y = 4x - 2.

The slope (m) is 4, and the y-intercept (b) is -2. This line doesn't coincide with y = 4x + 2.

Option 3: 4y = x + 8

Convert to slope-intercept form

4y/4= (x + 8)/4

y = x/4 + 8/4

y = ¼x + 2

The slope is ¼. The y-intercept is 2.

This line doesn't coincide with y = 4x + 2.

Option 4: 8x - 2y = -4

Convert to slope-intercept form.

8x - 2y - 8x = -4 - 8x

-2y = - 4 - 8x

-2y/-2 = (-4 - 8x)/-2

y = -4/-2 - 8x/-2

y = 2 + 4x

y = 4x + 2

The slope is 4 and the y-intercept is 2. Therefore, 8x - 2y = -4 coincides with y = 4x + 2.

1. A.9(A) Given the following graph of an exponential function, which
inequality best represents the range of the graph?
*​

Answers

Answer:

The Renaissance set the principle that "Man is the measure of all things". As a consequence, there was a growing interest in the development of humankind in all fields. In order for this to happen, improvements in education and intelligence were crucial. As a product of this growing importance of education, that Humanism was founded. Humanism is known as a stance that emphasizes the value of all human beings.

Step-by-step explanation:

sorry i couldnt actually help      i need brainly points

y = 1.6x + 48
Based on the equation, what is the approximate shoe size for a man having a height of 60 inches?
A. 7 1/2
B. 10 1/2
C. 12
D. 14

Answers

The answer is C 10 ... 1/2

Find the x- and y-intercepts of the graph of the linear equation 3x+6y=24.

Answers

Answer:

y=0,4 and x=8,0

The x and y-intercept of the linear equation 3x + 6y = 24 will be (8,0) and (0,4) respectively.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given linear function,

3x+6y=24

At x-intercept, y = 0

3x = 24

x = 8 thus it will be (8,0).

At y-intercept , x = 0

6y = 24

y = 4 thus it will be (0,4)

Hence "The linear equation 3x + 6y = 24 will have x-intercepts of (8, 0) and (0, 4) correspondingly".

For more about the linear function,

brainly.com/question/21107621

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If you were viewing this weather symbol, what type of weather conditions would you expect to find in the area? A Days of gray skies behind the front b Thunderstorms along the front c A period of sunny skies along the front d Humid air conditions behind the front

Answers

Incomplete question. However, I provided general sample image descriptions of each weather condition as found on the ownyourweather website.

Explanation:

1. The first weather symbol is often used to represent days of gray skies behind the front.

2.  The second weather symbol represents expected Thunderstorms along the front.

3. The third weather symbol indicates a period of sunny skies along the front.

4. The third weather symbol is associated with Humid air conditions behind the front.

A triangle has an angle that measures 90°. What type of triangle could it be? (Choose all that apply)

Answers

Answer:

Right angle triangle

Step-by-step explanation:

If any one angle of a triangle is 90, then it is a right angle triangle

Write the equation for the line based on the graph.

Answers

Answer:

y = -3/4x - 1

Step-by-step explanation:

We can use the points (-4, 4) and (0, -1) to solve.

(0, 1) represents the y-intercept.

Solve for the slope using [ y2-y1/x2-x1 ]

-1-(-4)/0-4

3/-4

-3/4

Slope intercept form is [ y = mx + b ] where m = slope and b = y-intercept. Fill in what we found/solved for.

y = -3/4x - 1

Best of Luck!

Pentagon ABCDE and Pentagon A''B''C'D''E are shown on the coordinate plane below.

which two transformations are applied to Pentagon ABCDE to create A"B"C"D"E"?

A) Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the y-axis

B) Translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the x-axis

C) Translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the y-axis

D) Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the x-axis​

Answers

Answer:

D) Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the x-axis​

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and translation.

If a point X(x, y) is translated a units right and b units down, it new location is X'(x + a, y + b)

If a point X(x, y) is reflected across x axis, it new location is X'(x, -y)

Pentagon ABCDE is at A(-4, 5), B(-6, 4), C(-5, 1), D(-2, 2), E(-2, 4) while pentagon A"B"C"D"E" is at A"(4, -7), B"(2, -6), C"(3, -3), D"(6, -4), E"(6, -6)

If pentagon ABCDE is Translated according to the rule (x, y) → (x + 8, y + 2), the new points would be A'(4, 7), B'(2, 6), C'(3, 3), D'(6, 4), E'(6, 6). If a reflection across the x axis is the done, the new points are A"(4, -7), B"(2, -6), C"(3, -3), D"(6, -4), E"(6, -6)

Try It!
») There are 1 x 1014 good bacteria in the human body.
There are 2.6 x 1018 good bacteria among the
spectators in a soccer stadium. About how many
spectators are in the stadium? Express your answer in
scientific notation.

Answers

Answer:

There are 2.6 * 10^4 spectators in the soccer stadium.

Step-by-step explanation:

(2.6 * 10^18) * (1 * 10^14)

2.6     10^18

1        10^14

2.6 * 10^18-14

2.6 * 10^4

Given \qquad \overline{OA}\perp\overline{OC} OA ⊥ OC start overline, O, A, end overline, \perp, start overline, O, C, end overline \qquad m \angle AOB = 6x - 12^\circm∠AOB=6x−12 ∘ m, angle, A, O, B, equals, 6, x, minus, 12, degrees \qquad m \angle BOC = 3x + 30^\circm∠BOC=3x+30 ∘

Answers

Answer:

Step-by-step explanation:

If OA is perpendicular to OC, then <OAC = 90°

<OAC = <AOB + <BOC

Given

<AOB = 6x-12

<BOC = 3x+30

On substituting this values into the formula:

6x-12+3x+30 = 90

9x+18 = 90

Subtract 18 from both sides

9x+18-18 = 90-18

9x = 72

x = 72/9

x = 8°

Since <AOB = 6x-12

<AOB = 6(8)-12

<AOB = 48-12

<AOB = 36°

Also <BOC = 3x+30

<BOC = 3(8)+30

<BOC = 24+30

<BOC = 54°

Can someone help me please?

Answers

the answer is b, 3.50 dollars per gallon
the answer is b to this question... $3.50 per gallon is the answer!!

Ms. Arango gave his daughter 50 chocolate bars to give to her friends
at her birthday party. She gave 3 chocolates to each of her friends and still
had 2 chocolates left. Write an equation to determine the number of
friends (f) at Mr. Arango's daughter's party. *

Answers

Answer:

Ans: 16

Step-by-step explanation:

50-2=48

48/3=16 friends

What is tje equation of the function?

Answers

Answer:

It is relatively easy to determine whether an equation is a function by solving for y. When you are given an equation and a specific value for x, there should only be one corresponding y-value for that x-value. For example, y = x + 1 is a function because y will always be one greater than x.

Step-by-step explanation:

Which operation should you perform first when you simplify 175 − ( 8 + 45 ÷ 3 ) × 7?

Answers

Answer:

Divide 45 and 3

You should get 15

Add 15 to the eight

You should have got 23

Multiply 23 and 7

You should get 161

subtract it from 175

you should get 14

order from least to greatest √2, 2π, 1.5

Answers

Answer:

Step-by-step explanation:

√2, 1.5, 2π.

he theater club is hosting a one-act competition to raise $1,220 for new costumes. It plans to sell tickets for $8 each and would like to earn within $100 of its goal. This is the equation representing this situation, where t is the number of tickets sold: |8t − 1,220| = 100. Type the correct answer in each box. Use numerals instead of words. To earn within $100 of its goal, the theater club needs to sell a minimum of tickets and a maximum of tickets.

Answers

Answer:

i think that your suppose to divide add and subtracct.

Step-by-step explanation:

Hope this helps.

Answer:

140

165

Step-by-step explanation:

To solve the absolute value equation, first rewrite the equation as two separate equations equal to -100 and 100:

8t − 1,220 = -100 8t − 1,220 = 100

8t = 1,120 8t = 1,320

t = 140 t = 165

To earn within $100 of its goal, the theater club needs to sell a minimum of 140 tickets and a maximum of 165 tickets.

How many cups of red paint should be added to 1 cup of white paint?

Answers

Answer:

3/7

Step-by-step explanation:

Im pretty sure it's correct

The answer is 3/7 of paint should be added


im supposed to solve this and usually ive been getting more slow at math and i used to be really great at it until my mind started flooding with thoughts and other things ever since i started getting into anime anyway the question i need to solve is -2(-4x - 8 - 3y) and i need someone to explain how i can use the distributive property to simplify it in an easy way

Answers

Answer:

8x+16+6y

Step-by-step explanation:

-2(-4x-8-3y)

Because there is no sign before the parentheses, you have to multiply -2 by everything in the parentheses:

8x+16+6y

There are no minus signs anymore because -- (minus minus) wouldn't make sense and -÷-=+ (negative÷negative=positive)

I don't think you can solve 8x+16+6y, you can only simplify.

I'm really sorry if I'm wrong, but this took me 10 minutes. Good luck :)

PLZ HELP ME!!!!!
when you reverse the inequality sign when you __________ or __________ both sides of an inequality by a negitive number.

Answers

Answer:

divide or multiply............

The perimeter of a rectangle is 54 feet. The width is 1 less
than the length. What are the dimensions of the rectangle?

Answers

Step-by-step explanation:

length=x

width=x-1

x + x + (x-1) + (x-1) = 54

4x - 2 = 54

4x = 56

x = 14 ft

x = 14 ft

x - 1 = 14 - 1 = 13 ft

x = 14 ft

x - 1 = 14 - 1 = 13 ft

Perimeter= x + x + (x-1) + (x-1)

54 ft = 14 + 14 + (14 - 1) + (14 - 1)

54 ft = 28 + (13 +13)

54 ft = 54 ft

HELP URGENT!!!!!!!!!!!!!!!!!

Answers

Answer:

c=1,1  d=3,1  e=3,3

Step-by-step explanation:

Find the quotient.
42+2 = (-822-2)

Answers

Answer:1606

Step-by-step explanation:

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