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marusya05 [52]
3 years ago
7

The dotted line represents the mid segment of the trapezoid. Find the value of X

Mathematics
1 answer:
Ganezh [65]3 years ago
6 0

<u>Given</u>:

Given that the bases of the trapezoid are 21 and 27.

The midsegment of the trapezoid is 5x - 1.

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the trapezoid midsegment theorem.

Applying the theorem, we have;

Midsegment = \frac{b_1+b_2}{2}

where b₁ and b₂ are the bases of the trapezoid.

Substituting Midsegment = 5x - 1, b₁ = 21 and b₂ = 27, we get;

5x-1=\frac{21+27}{2}

Multiplying both sides of the equation by 2, we have;

2(5x-1)=(21+27)

Simplifying, we have;

10x-2=48

Adding both sides of the equation by 2, we get;

10x=50

Dividing both sides of the equation by 10, we have;

x=5

Thus, the value of x is 5.

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A cube which measures 27 inches on one side
ExtremeBDS [4]

Answer:

i wont steal your education so here To find the volume of any cube you need to know the length, width and height. The formula to find the volume multiplies the length by the width by the height. The good news for a cube is that the measure of each of these dimensions is exactly the same. Therefore, you can multiply the length of any side three times.

Step-by-step explanation:

8 0
3 years ago
The line for which equation has negative slope?
zhenek [66]

Answer:

B.

Step-by-step explanation:

To have a negative slope, <em>m</em> has to be negative. Any negative slope would show up as a negative coefficient in front of <em>x</em>.

3 0
3 years ago
26 inches is how many yards
AlekseyPX

1 yard = 36 inches

The fraction  (1 yard / 36 inches) has a numerator and denominator
that are equal.  So the fraction is equal to ' 1 ', and we can multiply
(26 inches) by it without changing any value.  That'll change the units
of the '26 inches' to 'yards', which is exactly what we need.

(26 inches) x (1 yard/36 inches) = (26/36) yard

                                                 That's  13/18 yard, or  0.7222... yard.

3 0
3 years ago
F(x)=1/2x+2.i need help
m_a_m_a [10]

Answer: If you want to find the x and y intercepts, your answer would be...

x-intercept - (-4,0)

y-intercept - (0,2)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

I hope this helps you out! ☺

8 0
3 years ago
The value of 110 coins, consisting of dimes and quarters, is $20.30. how many of each kind of coin are there?
deff fn [24]
D + q = 110......d = 110 - q
0.10d + 0.25q = 20.30

0.10(110 - q) + 0.25q = 20.30
11 - 0.10q + 0.25q = 20.30
-0.10q + 0.25q = 20.30 - 11
0.15q = 9.30
q = 9.30/0.15
q = 62 <==== there are 62 quarters

d = 110 - q
d = 110 - 62
d = 48 <==== there are 48 dimes

6 0
3 years ago
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