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pishuonlain [190]
3 years ago
7

Solve for x. Help please

Mathematics
1 answer:
MAVERICK [17]3 years ago
4 0
X = 10

The triangles are similar by SAS, so we can set up a proportion of their sides.

9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2

Reduce
3/8 = 12/3x+2

Cross multiply
3(3x+2) = 12*8

Distribute and multiply
9x + 6 = 96

Subtract 6
9x = 90

Divide by 9
x = 10

Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)
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What is the area of a piece of plywood measuring 2 feet 8 inches long by 2 feet 4 inches wide? Give your answer in square inches
Kruka [31]

Given

piece of plywood measuring 2 feet 8 inches long by 2 feet 4 inches wide.

What is the area of a piece of plywood .

To proof

Here plywood shape in the form of rectangle.

Formula

Area of rectangle = Length×Breadth

As given in the question

Length =2 feet 8 inches

Breadth = 2 feet 4 inches

First convert feet into inches

1 feet = 12 inches

2 feet 8 inches = 2×12 + 8

                       =  32 inches

Also

2 feet 4 inches  = 2×12 +4

                          = 28 inches

put is in the above formula

Area of plywood = 32 ×28

                            = 896 inches²

Therefore option (b) is correct

Hence proved


8 0
3 years ago
How can parallel lines be used to compare figures E and F? Explain your reasoning.
Aneli [31]

Answer:

The similarities are

1) The length of E and F can be described by two parallel lines spaced 3 blocks apart where the parallel line on the left of both E and F is 2 blocks long, while the parallel line on the right is one block long

2) Both height of E and F can be described by two parallel lines spaced 2 blocks apart  where the parallel line on the top of both E and F is 3 blocks long, while the parallel line at the bottom is one block long

3) The interior of E an F can be described by parallel lines 2 blocks long in the horizontal portion and one block long in the vertical portion

The differences are

1) The difference between E and F is that the parallel lines used for the construction of E are all one block higher than that of F

2) The other difference is that all the lines used for the construction of the figure E are 3 blocks to the left of those used for the construction of F

Figure F is essentially the translation of figure E three blocks to right and one block down

Step-by-step explanation:

3 0
3 years ago
What is the value of this expression when g = -3.5?
Margaret [11]

g = -3,5

8 - |2g - 5| = 8 - |2 · (-3,5) - 5| =

= 8 - |-7 - 5| = 8 - |-12| = 8 - 12 = <u>-</u><u>4</u>

8 0
3 years ago
Solve the following expressions (plz explain)
Mars2501 [29]
9 to the 3rd power is 729 And 2 to the 5th power is 32. You multiple 9, 3 times. 9 times 9 times 9 and you multiply 2, five times. 2 times 2 times 2 times 2 times 2
7 0
3 years ago
Read 2 more answers
HELP! ASAP!<br> What is the measure of ∠A?<br><br><br> What is the measure of ∠B?
olganol [36]
The opposite angles of a parallelogram are equal.
Therefore
m∠A = m∠C, so that
5y - 3 = 3y + 27
Subtract 3y from each side.
5y - 3y - 3 = 3y - 3y + 27
2y - 3 = 27
Add 3 to each side.
2y - 3 + 3 = 27 + 3
2y = 30
y = 30/2 = 15

Therefore
m∠A = 5*15 - 3 = 72°
m∠C = 72°

Let x = m∠B
Then x = , m∠B = m∠C
Because the sum of the angles in the parallelogram is 360°, therefore
x + x + 72 + 72 = 360
2x = 360-144 = 216
x = 216/2 = 108

Answer:
m∠A = 72°
m∠B = 108°

3 0
3 years ago
Read 2 more answers
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