All categories

3 years ago

Find the value of x?!??????

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

3 0

Answer:

x = 31

Step-by-step explanation:

Given:

MN = 20

PQ = x

RS = 42

Required:

Value of x

SOLUTION:

In a trapezoid, the midsegment length equals the sum of both bases divided by 2

This implies that:

PQ = ½(MN + RS)

Plug in the values

x = ½(20 + 42)

x = ½(62)

x = 31

You might be interested in

The height h(n) of a bouncing ball is an exponential function of the number n of bounces.

Digiron [165]

Answer:

The height of a bouncing ball is defined by $h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}$ .

Step-by-step explanation:

According to this statement, we need to derive the expression of the height of a bouncing ball, that is, a function of the number of bounces. The exponential expression of the bouncing ball is of the form:

$h = h_{o}\cdot r^{n-1}$ , $n \in \mathbb{N}$ , $0 < r < 1$ (1)

Where:

$h_{o}$ - Height reached by the ball on the first bounce, measured in feet.

$r$ - Decrease rate, no unit.

$n$ - Number of bounces, no unit.

$h$ - Height reached by the ball on the n-th bounce, measured in feet.

The decrease rate is the ratio between heights of two consecutive bounces, that is:

$r = \frac{h_{1}}{h_{o}}$ (2)

Where $h_{1}$ is the height reached by the ball on the second bounce, measured in feet.

If we know that $h_{o} = 6\,ft$ and $h_{1} = 4\,ft$ , then the expression for the height of the bouncing ball is:

$h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}$

The height of a bouncing ball is defined by $h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}$ .

5 0

3 years ago

Read 2 more answers

Plz help me find answer. what are the coordinates of slope when y= x/1–x² when dy/dx=1

vova2212 [387]

Step-by-step explanation:

dy/dx

= d/dx [x / (1 - x²)]

= [(1 - x²)(1) - (x)(-2x)] / (1 - x²)²

= (1 + x²) / (1 - x²)².

When dy/dx = 1, (1 + x²) / (1 - x²)² = 1.

=> 1 + x² = 1 - x²

=> 2x² = 0, x = 0.

Also when x = 0, y = (0) / [1 - (0)²] = 0.

Hence the coodinates is (0, 0).

8 0

3 years ago

What is 1+39? Greghyyuiyrsfffgghhhhhhju

MariettaO [177]

Answer:

Step-by-step explanation:

The number after 39, or 39 plus one, is 40.

4 0

3 years ago

Given that abcd is a rhombus prove ac bisects BCD 80 points please answer

PolarNik [594]

Step-by-step explanation:

<u>See the missing reasons, in order from top to bottom:</u>

1. Definition of rhombus
2. Definition of congruent
3. Given
4. Definition of bisects
5. Reflexive property
6. SSS (three sides congruency)
7. CPCTC

4 0

3 years ago

Wayne bought a soccer season ticket package for $72.48 and pays $6.00 for each game he attends. Logan did not buy a season ticke

krek1111 [17]

Answer: 6 games.

Step-by-step explanation:

If you multiply 6 by 18.08, you will get 108.48.

If you multiply 6 by 6 (Wayne's payment) plus what Wayne bought for the soccer season ticket, it will all add up to 108.48.

7 0

3 years ago