In ΔCDE, \text{m}\angle C = (4x-16)^{\circ}m∠C=(4x−16) ∘ , \text{m}\angle D = (6x-1)^{\circ}m∠D=(6x−1) ∘ , and \text{m}\angle E = (4x-13)^{\circ}m∠E=(4x−13) ∘ . Find \text{m}\angle C.M∠C.

Answers

Answer 1

Answer:

m∠C = 44°

Step-by-step explanation:

In ΔCDE,

m∠C=(4x−16) ∘

m∠D=(6x−1) ∘

m∠E=(4x−13) ∘ .

The sum of angles in a triangle = 180°

Step 1

We solve for x

m∠C + m∠D + m∠E

(4x−16)° + (6x−1)° + (4x−13)° = 180°

4x - 16 + 6x - 1 + 4x - 13 = 180°

4x + 6x + 4x -16 - 1 - 13 = 180°

14x - 30 = 180°

14x = 180+ 30

14x = 210

x = 210/14

x = 15

Step 2

Find m∠C

m∠C = (4x−16)°

m∠C = (4 × 15 - 16)°

m∠C = (60 - 16)°

m∠C = 44°


Related Questions

someone please help 5 points!!

Answers

Answer:

7.1 is the answer of this question


[tex] - 10 = 2x + 6[/tex]
how do I do this​

Answers

X=-8 2x=-16 divide both sides by 2 and it will equal -8 remember negative times positive is a negative

Standard Form: 3x+4y=−16

Answers

Answer:

i know the answer

Step-by-step explanation:

The line models the temperature starting at noon on an autumn day.

a. Find the y-intercept of the function.

b. What does the y-intercept represent?

please help! (i will insert a picture so you can see the graph)

Answers

Answer:

a) y-intercept (as can be seen) is 50 degrees

b) this means that, at the time the temperature began to be recorded, it was 50 degrees outside

Step-by-step explanation:

A rectangular prism has a length of iom, a height of 2m, and a width of 5m. What is
its volume, in cubic m?

Answers

Answer: Would it be 10^3m

Step-by-step explanation:

Volume of a rectangular prism = (length x width x height) cubic units.

Samir spent $150 at Costco. He had a coupon that took 5% off the total bill, b. What was the bill before the discount?

Answers

Answer:

157.89 is the answer

Matteo is following this recipe to make a cake.
He wants to make three of these cakes.
How much of each ingredient does he need?

Recipe: Makes 1 cake
8 ounces butter
7 ounces sugar
10 ounces of flour
4 eggs
1 teaspoon (tsp) baking powder

Answers

Answer:

30 ounces of butter

25 ounces of sugar

35 ounces of flour

15 eggs

10 tbps of baking powder

Step-by-step explanation:

All you do is multiple each quantity by 5 I think

we are learning about this in school but check the web to see if it is correct

Please help explain how to do this

Answers

Parentheses
Exponents
Multiple
Divide
Add
Subtract

Answer:

Any number that isn't 3.

Step-by-step explanation:

Any other number should work, so I'll just show you what happens if you use 3.

2(3x - 2) = 6x + 5

6x - 4 = 6x + 5

-4 ≠ 5

As you are aware, that would make it no solution hence why it can't be used.

Picture attached below

Answers

Answer:

it's answer is B. 4/5

Step-by-step explanation:

perpendicular (p) = 8

hypotenuse (h) = 10

sin < A

= p/h

= 8/ 10

= 4/ 5

Hope it will help :)

solve for w. 7w=-14

please help me with this one plz

Answers

Answer: w = -2

Step-by-step explanation:

7w = -14

Divide both sides by 7

w = -2

That was brief but hope it helps!

Answer:

W = -2

Step-by-step explanation:

7W÷7      -14÷7

W= -2

how do i find an equation for a line with an x-intercept of 4 and a y-intercept of -2

Answers

Answer:

The equation of a line is y = ax + b, where a is the slope and b is the y-intercept.  

Since we have the y-intercept, all we need to do is find the slope. To find the slope, you need 2 coordinates.

The y-intercept is where the line crosses the y axis, so it is where x is 0. Since the y intercept is -2, that means the first coordinate is (0, -2)

The x-intercept is where the line crosses the x axis, so it is where y is 0. Since the x intercept is 4, that means the second coordinate is (4, 0)

Since we already have the y-intercept, all we do is put the slope in the equation: y = 1/2x - 2.

Step-by-step explanation:

n + 10 = 8 + 4

find the value of n. ​

Answers

Answer:

n=2

Step-by-step explanation:

8+4=12

12-10=n

n=2

N is equal to 2. 8+4 is 12 which leaves you with n+10=12 so then you subtract 10 from 12 which gives you n=2

one sixth multiplied by 42​

Answers

Answer:

6/42 = 1/7

Step-by-step explanation:

1/6 x 42/1

1 x 42 = 42

6 x 1 = 6

simplify to 1/7 (6 divided by 6 = 1, 42 divided by 6= 7)

hope this helps :)

Answer:

7

Step-by-step explanation:

1/6 x 42 = 7

What is the measure (in radians) of central angle in the circle below?
5 cm
0
2 cm
radians

Answers

Answer:

2.5

Step-by-step explanation:

Please help me!!!!!!!!

Answers

Answer:

   

Step-by-step explanation:

   

A zoo keeper wants to fence a rectangular habitat for goats. The length of the habitat should be at least 80 feet and the perimeter of the habitat should be no more than 300 feet


Write a system of linear inequality:___________


Please help!! It’s due within 20 minutes!! Please..

Answers

Answer:

Step-by-step explanation:

Let x ft be the length of the fence and y ft be the width of the fence.

1. The length of the habitat should be at least 80 feet, then

2. The perimeter of the habitat should be no more than 300 feet. The perimeter of the fences 2x+2y ft, then

3. The system of inequalities that represent the model is

The graph of these inequalities is attached.

Two possible solutions are

1. x=100 ft, y=20 ft (100≥80 and 2·100+2·20=240≤300);

2. x=110 ft, y=30 ft (110≥80 and 2·110+2·30=280≤300).

(3x+15) (2x)

Help pls

Answers

Answer:

(

3

+

1

5

)

(

2

)

(3x+15)(2x)

(3x+15)(2x)

Simplify

1

Distribute

(

3

+

1

5

)

(

2

)

3

(

2

)

+

1

5

(

2

)

Solution

3

(

2

)

+

1

5

(

2

)

Step-by-step explanation:

Answer:

[tex]3x+15+2x=180\\5x=165\\x=33\\[/tex]

Help please help desperate due today..

Answers

Answer:

54 Students on each bus

Step-by-step explanation:

I got that answer by subtracting 16 to 232 which got me 216 then i divide 4 and got 54!

Hope this Helps! :)

Answer:

54

Step-by-step explanation:

First you do 232-16 which is 216 then all you do is divided 216 by 4 which is 54!

I hope this helps and have a great day!

At the start of the experiment substance is measured to be 90°C, and by the end of the experiment its temperature is measured as -50°C. How does the temperature change from the start to the end of the experiment? Represent a decrease in temperature with a negative number.

Answers

Answer:

-140C

Step-by-step explanation:

∆T = T2-T1

∆T = -50-90= -140C

which of the following is not a function A (2,1),(4,3),(6,5),( 8,7) B (2,1),(4,1),(6,5),(5,4) C (2,1),(4,3),(6,5),(2,7)

Answers

The one that is not a function is B

Answer:

B

Step-by-step explanation:

60% is equal to what fraction in simplest form?

Answers

Answer:

3/5

Step-by-step explanation:

60 percent is the fraction 60/100 and simplifyping that by ten is 6/10

6/10 divided by two is 3/5

Complete the similarity statement for the two quadrilaterals given.



Enter your answer in the box.

quadrilateral RBWZ∼quadrilateral

Answers

Answer: hi! the answer is in the picture below but in case you can’t see the answer is JPFS

have a wonderful day and stay safe!!!

Step-by-step explanation: (see picture :))

Answer:

JPFS

Step-by-step explanation:

Verified correct with test results.

Can someone plzz help me with this? To put it on order on the number line??

Answers

Answer:

1/4   1/2    1.5     1 3/4     1.75

Answer:

1/4, 1/2, 1.5, 1 3/4, 1.75

Step-by-step explanation:

1 3/4 and 1.75 is the same  tho

find the percent of change.
50 to 75 ft...
please explain.​

Answers

Answer:

50%

Step-by-step explanation:

50 to 75 is a change of 50% (25 is the difference between the two numbers, and 25 is 50% of 50).

Simplify the expression:
k–3k+5k

Answers

Answer:

3k

Step-by-step explanation:

k-3k = -2k

-2k+5k = 3k

..........

a first number plus twice a second number is 4. twice the first number plus the second number totals 26. find the numbers

Answers

Answer:

a = 16

b = -6

Step-by-step explanation:

a + 2b = 4

2a + b = 26

2a + 4b = 8

2a + b = 26

3b = -18

b = -6

a + 2(-6) = 4

a - 12 = 4

a = 16

what is the quotient of -18 and 3

Answers

basically you to -18/3 which you get -6

Answer:

ur answer would be 4.

Write an integer that represents spending $40

Answers

Answer:

-40

Step-by-step explanation:

you are subtracting 40.

Sally was painting an airplane on a canvas using a 1in.: 8ft scale. If her painting was 29 inches wide, what was the actual width of the airplane?

Answers

Answer:

232 inches or 19.33 feet

Step-by-step explanation:

232 feet is the  actual width of the airplane.

What is Unit of Measurement?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

Sally was painting an airplane on a canvas using a 1in.: 8ft scale

1 inches = 8 ft scale.

Sally painting was 29 inches wide.

We have to find the actual width of the airplane.

Convert 29 inches to feet.

As we know 1 inche is 8 feet so 8 inches will be the multiple of 8 and 28.

29×8

232 feet.

Hence, 232 feet is the  actual width of the airplane.

To learn more on Unit of Measurement click:

https://brainly.com/question/15402847

#SPJ5

.
What is (4x2-9X+1) -(5x2-x-7) written in standard form?

Answers

Answer:

(9-9x) - (3-x)

Step-by-step explanation:

(4x2 -9x +1) - (5x2 -x -7)

4x2+1= 9. 5x2-7= 3

(9-9x) - ( 3-x)

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