Mathematics High School

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

which one is greater 20 ounces or 20 grams

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Answer:

20 ounces

Step-by-step explanation:

Answer:

20 ounces

Step-by-step explanation:

20 grams in ounces is 0.7055

and 20 ounces in grams is 566.99

What importance do fossils have to scientists?
A. Fossils are used to create cement, which is used to pave our roads.
B. Fossils provide information about the plants and animals that lived long ago and the nature of the environment at the time.
C. Fossils help keep the Earth's crust from shifting, which reduces the likelihood of earthquakes.
D. Fossils can help prove that aliens from other planets once lived on our Earth, but they all died from some catastrophic
event

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Answer:

B is the answer.

Step-by-step explanation:

 

i need help asap i’ll give

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Answer:

32

Step-by-step explanation:

It is a 90º angle. Subtracting the 58º gives you 32.

What are the answers to the last two questions?

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Answer:

Thanks for the points :3

what is 10.26 with 8% tax

Answers

Answer:

$11.08 to the nearest penny

Step-by-step explanation:

So I do it like

10.26 is 100 percent

We’re adding 8 percent so technically multiplying by 108

SO 10.26*108 is 11.08 to the nearest penny

It so much easier, easy 1 step

Answer:   $11.08

Step-by-step explanation:

The relationship between the number of boxes of printer paper purchased and total cost is represented in the table below.What is the cost of 1 box of paper?

Use the on-screen keyboard to type the correct answer in the box below.

Answers

Answer:Cost of 1 box of paper is 7.25

Step-by-step explanation:When you look at the table all you really need to do is divide 2 and 14.50 and you'll get you answer

2+0+3+4+9+6 ?? please

Answers

Hey there!

The answer is 24

2+0

2

2+3

5

5+4

9

9+9

18

18+6

24

Have a good day!

P.S. UMMMMMMMMM

Sorry for it being so long

Answers

Answer:

<1 = 97

<2 = 83

<7=87

<8 = 83

<11 = 112

<12 = 68

<13 = 112

<14 = 68

Step-by-step explanation:

Those are the only ones Ik sry

Please help if possible!
Match the angle relationship with each given angle pair.

Answers

Answer:

???

Step-by-step explanation:

What is chipset what role its play:}​

Answers

Answer:

a chipset is a system of electrical components which are needed to work for microprocessors.the chipset is to do with the the components on the motherboard

Step-by-step explanation:

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ʟɪᴠɪɴɢ ᴏɴ ᴛʜᴇ ᴍᴏᴛʜᴇʀʙᴏᴀʀᴅ, ᴀ ᴘᴄ's ᴄʜɪᴘsᴇᴛ ᴄᴏɴᴛʀᴏʟs ᴛʜᴇ ᴄᴏᴍᴍᴜɴɪᴄᴀᴛɪᴏɴ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇ ᴄᴘᴜ, ʀᴀᴍ, sᴛᴏʀᴀɢᴇ ᴀɴᴅ ᴏᴛʜᴇʀ ᴘᴇʀɪᴘʜᴇʀᴀʟs. ᴛʜᴇ ᴄʜɪᴘsᴇᴛ ᴅᴇᴛᴇʀᴍɪɴᴇs ʜᴏᴡ ᴍᴀɴʏ ʜɪɢʜ-sᴘᴇᴇᴅ ᴄᴏᴍᴘᴏɴᴇɴᴛs ᴏʀ ᴜsʙ ᴅᴇᴠɪᴄᴇs ʏᴏᴜʀ ʙᴇsᴛ ᴍᴏᴛʜᴇʀʙᴏᴀʀᴅ ᴄᴀɴ sᴜᴘᴘᴏʀᴛ

whats the gfc of 15 and 30?

Answers

Answer:

15

Step-by-step explanation:

factorise 6-12x please help me

Answers

Answer:

The factorized form of the function is 6 (1 - 2x)

Step-by-step explanation:

Given function;

6 - 12x

This function can be factorized as follows by using common factor of 6 and 12, which is 6;

6 - 12x = 6 (1 - 2x)

Thus, the factorized form of the function is 6 (1 - 2x)

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Answers

Answer:

-1/2 is the slope. This means that the graph moves down one unit, and right 2 units (over and over again)

-1 is the y-intercept. This is where the line hits the y-axis

start by plotting the y-intercept (0,-1)

then move down one unit, and right two units, and plot another point.

this is the line y=-1/2x-1

Step-by-step explanation:

Step-by-step explanation:

hope it helps

............

Find the slope and y intercept for the equation.
y = -6.75x + 8.54

Answers

Answer:

the y intercept is 8.54 and the slope would be 0

Step-by-step explanation:

use to do these

anyone know how to do this? will give brainlest! if you cant help, have a great day!!!

Answers

M= 2 :) I hope this helped you
Answer:m will equal 2Step-by-step explanation:i see it like this: Given the equation D=m/v if d=2/3 and v=m+1., then m= 2 because if u just look at m to see where it's at u would have the answer.also it basically gave u the answer.can i get brainliest or not but i need 10 to get to Expert i have all 1,000 points i just need 10 brainliests.

solve for x it is a parallelogram please help

Answers

Answer:

UW = EW+UE=2×EW because, EW=UE

7x-2=2×6= 12

7x=14

x=14/7

x=2

2 is the right answer.

I need help with this ​

Answers

Answer: 72 units^2

Explanation:
Triangle to the left, you do 5(6) and get 30, but since it's a triangle, you divide by 2 and get 15. Middle rectangle, 6(8) is 48. Right triangle, 3(6) is 18, 18/2 is 9. Add them all up 15+48+9 and you get 72. Hope this helped!

Use the lattice method to multiply

Answers

Answer: Use the lattice method to multiple 54x 9

If it's 54 times 9 using the lattice method your Answer is:

54 times 9

is 486

Hope this helps..... Stay safe and have a great day!!! :D

 

Please help, due today

Answers

Answer:

See below.

Step-by-step explanation:

The domain refers to the x values used in the equation/graph. The line appears to go from -10 to 10 on the x-axis. The dots above -10 and 10 are not shaded in meaning those x values do not count towards the domain meaning we will use parenthesis instead of brackets for interval notation or no equal to signs in inequality notation.

Interval Notation: (-10, 10)

Inequality Notation: -10 < x < 10

What is the inequality shown?

Answers

Answer:

-1<X<2

Step-by-step explanation:

i think this is correct

Evaluate the following expression 10+ 54/-6

Answers

The answer would just be 1

Hey there!

The answer to your question is [tex]1[/tex].

Let us start by dividing:

[tex]\frac{54}{-6} = -9[/tex]

Now, we do [tex]10 + -9[/tex], which is [tex]1[/tex].

Hope it helps and have a terrific day!!!

I’ll give u brainilest just help

Answers

Answer:

11 44 0.250

18 48 0.375

11 40 0.275

about number 3 i have no idea

Step-by-step explanation:

prove me wrong

x + 7 < 15
I need to know what this answer is and quick

Answers

Answer:

x<8

Step-by-step explanation:

x+7<15

x<15-7

x<8

[tex]hope \: it \: helps[/tex]

can someone PLEASE help on any of these i’m so confused

Answers

14.)139°
15.)90°
16.) 41°
17.)49°
18.)139°
19.)131°
20.)109°
21.)66°
22.)124°

If the sequence, 1,3,5,7,9,..... Is called A(n), where n is the nth term. What term is A(3)?

Answers

Answer:

Third term (5)

Step-by-step explanation:

A(3) is the third term which is 5.

Answer: Tn=2n−1.

Step-by-step explanation:

The cost of a mobile phone processor is directly proportional to its speed.

A 2GHz mobile costs £500.

Let x be the speed of a processor in GHz

Let y be the cost in pounds.

Find a formula linking the variables.

Answers

Answer: See explanation

Step-by-step explanation:

We are going to use the formula used in calculating direct proportion which is equal to:

y = kx

where,

x = speed of a processor in GHz

y = the cost in pounds

Therefore, y = kx

500 = 2k

Therefore, y = 2k

Which description best Fitz the graph?
PLS HELP ME NEED THIS ASAP

Answers

Answer: always decreasing

Step-by-step explanation:

Since it goes down without going back up it is always decreasing

It’s always decreasing

What is the circumference and radius of a circle with a diameter of eight and a half inches?

Answers

Answer:

the radius 4.25

Step-by-step explanation:

Question Progress
Simplify fully
a) 8c^4d^5÷2c3^d^3
b)9a3b5/3ab2​

Answers

Answer:

A.) 4cd^2

B.) 3a^2b^3

Step-by-step explanation:

simplify by following the rules to adding exponents

transforming quadratic graphs

Answers

Answer:

f(x) = 3(x - 2)² + 4

OR  

f(x) = 3x² - 12x + 16

Step-by-step explanation:

Vertex form of a parabola:

y = a(x - h)² + k

Standard form of a parabola:

y = ax² + bx + c

Let's find the vertex of this parabola.

(h, k) → (2, 4)

In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.

Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.

7 = a[(3) - (2)]² + 4

Simplify using PEMDAS.

7 = a(1)² + 47 = a + 4

Subtract 4 from both sides.

a = 3

Now we have (h, k) and a of the vertex form.

y = a(x - h)² + k  → y = 3(x - 2)² + 4

In order to convert from vertex to standard form, simplify the equation by FOILing.

y = 3(x - 2)² + 4y = 3(x² - 4x + 4) + 4

Distribute 3 inside the parentheses.

y = 3x² - 12x + 12 + 4

Combine like terms.

y = 3x² - 12x + 16

Therefore, we have the answer:

Vertex form:

f(x) = 3(x - 2)² + 4

Standard form:

f(x) = 3x² - 12x + 16
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