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Andrej [43]
3 years ago
12

How do I solve these 2 problems? What’s the answer

Mathematics
1 answer:
Rus_ich [418]3 years ago
8 0

1. substitution

2. transitive property

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Find the value of x.<br> If necessary, you may learn what the markings on a figure indicate.<br> 74°
marissa [1.9K]

Answer:

x = 61

Step-by-step explanation:

Left hand triangle containing 1 angle of 74

Label the other angle opposite the marked side also as 74

Find the third angle. Call it y.

y + 74 + 74 = 180           Combine like terms

y + 148 = 180                 Subtract 148 from both sides.

y = 180 - 148

y = 32

=============

Now work with the triangle on the right.

label the angle making up the right angle = z

32 + z = 90                             These two angles are complementary = 90

32 - 32 + z = 90 - 32              Subtract 32 from both sides

z = 58                                      Use 58 wherever you see z

x + x + z = 180                         Substitute

2x + 58 = 180                          Subtract 58 from both sides

2x = 122                                  Divide by 2

x = 61

5 0
3 years ago
Read 2 more answers
2. Which variable will eliminate? *<br> 3x +6y=27<br> -3x+8y= 1
Anarel [89]
9x=27
x=3
———
-3*3+8y=1
5\4
5 0
3 years ago
Read 2 more answers
Hi! PLS HELP!!! 15 points!!!
lesya692 [45]

Answer:

4 kilometers.....because 6000 meter is equal to 6 km .so

5 0
3 years ago
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Elena says she needs 263 plastic sleeves for her comic book collection. She has comic books. Each sleeve holds 4 comic books. Do
mote1985 [20]
The answer would be no. She needs 264 plastic covers in order to fit all comic books.
Divide 1,056 by 4
You should get 264. <span />
7 0
3 years ago
A father's age is three less than two times the son's age. The difference in their ages is 30 years. Find the son's age.
kkurt [141]

You can set up a systems of equations to solve this problem.

The equation y = 2x-3 represents the father's age where y = The father's age and x = The son's age.

The equation 30=y-x represents the difference between the two ages.

In order to be able to solve a system, the two equations can be in the same form. (They don't need to be it's just easier for me to have them in the same form) One is in standard form (ax+by= c) and the other one is in slope intercept form (y=mx+b where m is the slope and b is the y- intercept).

Lets put the equation y=2x-3 into standard form.

y=2x-3

+3 +3

y+3=2x

-y -y

3=2x-y

We have the two equations 30=y-x and 3=2x-y

Now to solve the system.

30=y-x

3=2x-y or 3=-y+2x

30=y-x

3=-y+2x The -y and y cancel each other out since they are the same term but are the inverse of each other one is neg one is pos.

Your left with

30=-x Now you just combine the two equations. 30+3 and 2x-x

3=2x

33=x The son's age is 33. To Find the Fathers age we would just plug 33 for x into one of the equations to find the Fathers age.

SON'S AGE IS 33

6 0
3 years ago
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