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Ulleksa [173]
3 years ago
13

Solve for x. Pls explain your answer.

Mathematics
1 answer:
My name is Ann [436]3 years ago
4 0

Answer: x = 8

Step-by-step explanation: The question shows two separate trapeziums DEFG and QRSP. In figure DEFG two sides and three angles are given. However, if we turn figure QRSP upside down, we can see that what we have is two similar trapeziums, DEFG and SPQR. Upon closer examination, we would see that line DE = line SP

Similarly line GF = line RQ

Also angle F = angle Q.

Having take note of these similarities, we can now express them as follows;

2x - 4 = 12 {i.e RQ = GF}

6y + x = 68 {i.e Q = F}

What we now have is a pair of simultaneous equations

2x - 4 = 12 ————(1)

6y + x =68 ————(2)

From equation (2)

x = 68 - 6y (by rearranging and making x the subject of the formula)

We can now substitute for the value of x into equation (1)

2x - 4 = 12

2(68 - 6y) - 4 = 12

By expanding the bracket, we now have

136 - 12y - 4 = 12

By regrouping and collecting like terms,

136 - 4 - 12 = 12y

Remember that if a negative number crosses to the other side of the equality sign, it becomes positive, and vice versa. Hence, negative 12y crosses to the right hand side of the equation and becomes positive 12y.

136 - 4 - 12 = 12y

120 = 12y

Divide both sides of the equation by 12

10 = y

Now we can substitute for the value of y = 10 into equation (2)

6y + x = 68

6(10) + x = 68

60 + x =68

Subtract 60 from both sides of the equation

x = 8.

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Answer:

7723/10000

Step-by-step explanation:

8 0
3 years ago
And angle measures 54° more than the measure of its complementary angle what is the measure of each angle
Mashutka [201]
Answer:
The measure of the angles are 72 degrees and 18 degrees
Step-by-step explanation:
we know that
If two angles are complementary, then their sum is equal to 90 degrees
Let
x -----> the measure of an angle
y-----> the measure of he other angle
we know that
x+y=90 -----> y=90-x -----> equation A
x=y+54 ----> equation B
substitute equation B in equation A and solve for y
y=90-(y+54)
y=90-y-54
2y=36
y=18°
Find the value of x
x=y+54 -----> x=18+54=72°
therefore
The measure of the angles are 72 degrees and 18 degrees
4 0
3 years ago
K^5/6<br> Verbal expression
fenix001 [56]

Answer:

The quotient of a number to the fifth power and six.

Step-by-step explanation:

Step 1: Convert k⁵ into words

k⁵ = a number to the fifth power

Step 2: Convert / into words

/ = quotient

Step 3: Convert 6 into words

6 = six

Step 4: Combine

The quotient of a number to the fifth power and six.

3 0
3 years ago
I need help in 10th grade math if you have any tips please help me
TiliK225 [7]

Answer:

I'll try to help you

:)

..........

7 0
3 years ago
Find the area of the trapezoid 14.5 8 19.5​
Svetlanka [38]

Step-by-step explanation:

Which one is the height?¿

The formula is

b1+b2 divided by 2 times the height

That's the best I can do for you atm atleast.

8 0
3 years ago
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