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Brut [27]
3 years ago
7

Find the value of x.

Mathematics
1 answer:
Deffense [45]3 years ago
6 0

Answer:

Step-by-step explanation:

the funny lines in the corners of the triangle mean that the angles are the same.  Maybe you knew that?

The supplementary angle at the top right is just

180- 17x -23

now you have expressions for each of the 3 angles of the triangle which all add up to 180°

180= 7x + 2  +  7x +2   +  180- (17x -23)

180 = 14x +4 + 180 - 17x +23

180 = -3x +207

3x = 27

x = 9

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A metallurgist has one alloy containing 21% titanium and another containing 50% titanium. How many pounds of each alloy must he
sweet-ann [11.9K]

x = amount of 21% alloy

y = amount of 50% alloy

The metallurgist wants a combination weighing a total of 44 lb, so

x + y = 44

Each pound of either alloy contributes either 0.21 or 0.5 pound of titanium. The final product needs to be comprised of 37% titanium; weighing at 44 lb, this means it should contain 0.37 * 44 = 16.28 lb. So

0.21x + 0.5y = 16.28

From the first equation,

x + y = 44  ==>  y = 44 - x

Substitute this into the second equation and solve for x:

0.21x + 0.5(44 - x) = 16.28

-0.29x = -5.72  ==>  x = 19.72

Substitute this into the first equation to solve for y:

19.72 + y = 44  ==>  y = 24.28

8 0
3 years ago
1. - x + 5y =-23 4x – y=16​
Tpy6a [65]

Answer:

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:(4,0)

Equation form:x=4  ,  y=0

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=4w%20%5C%3A%20%20-%202%20%5C%3A%20%20%2B8w%20%5C%5C%20w%20%3D%200.4" id="TexFormula1" title="4
marshall27 [118]

4w - 2 + 8w
= 12w - 2
when  \: x = .4
= 12(.4) - 2
= 4.8 - 2
= 2.8
7 0
3 years ago
This graph shows the reading rates for Adele, represented by line A, and Bryant, represented by line B.
GalinKa [24]

Answer:

answer: 1) false  2) true  3) true   4) false

Step-by-step explanation:

A: pass (0,0) (12,6)

slope: 6/12 = 1/2

y = 1/2 x

x=1   y= 1/2

B: pass(0,0) (4,6)

slope: 6/4 = 3/2

y = 3/2 x

y=1  x= 2/3

8 0
3 years ago
Solve for x please help (show work)
igomit [66]

Answer:

x = -1

Step-by-step explanation:

1/3(6x-3)+2(x-1) = -7

Distribute

2x-1 +2x-2 = -7

Combine like terms

4x -3 = -7

Add 3 to each side

4x-3+3 = -7+3

4x = -4

Divide by 4

4x/4 = -4/4

x = -1

6 0
3 years ago
Read 2 more answers
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