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3 years ago

6

Solve for x in the diagram below.

1 answer:

marshall27 [118]3 years ago

4 0

Vertical angles are congruent, so:

$4x+50=150\\\\4x=100\\\\x=\boxed{25}$

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Find the missing side of this right triangle.

Alborosie

Answer:

13

Step-by-step explanation:

it's a 5,12,13 triangle

and we can find the sides by Pythagorean theorem:

a^2 + b^2 = root of c

25 + 144 = 169

root of 169 = 13

3 0

3 years ago

Square root of 50 + square root of 72

MakcuM [25]

The answer to your question is 15.56
square root of 50 is 7.07 and square root of 72 is 8.49

5 0

4 years ago

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Oxygen is being added to a canister which originally contained 5 cubic feet of the gas at

lesantik [10]

Answer:

The change is negative, since the volume in the final state is smaller than the volume in the initial state. 2.25 We express V for the ideal gas as a function of T , p and n: V (T , p, n) = ... each smooth part of the curve and add the integrals, used up yearly by living organisms, which means that even if the oxygen supply was.

7 0

3 years ago

Given segments AB and CD intersect at E.

nata0808 [166]

The length of a segment is the distance between its endpoints.

$\mathbf{AB = 3\sqrt{2}}$
AB and CD are not congruent
AB does not bisect CD
CD does not bisect AB

<u>(a) Length of AB</u>

We have:

$\mathbf{A = (1,2)}$

$\mathbf{B = (4,5)}$

The length of AB is calculated using the following distance formula

$\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

So, we have:

$\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}$

$\mathbf{AB = \sqrt{18}}$

Simplify

$\mathbf{AB = 3\sqrt{2}}$

<u>(b) Are AB and CD congruent</u>

First, we calculate the length of CD using:

$\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

Where:

$\mathbf{C = (2, 4)}$

$\mathbf{D = (2, 1)}$

So, we have:

$\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}$

$\mathbf{CD = \sqrt{9}}$

$\mathbf{CD = 3}$

By comparison

$\mathbf{CD \ne AB}$

Hence, AB and CD are not congruent

<u>(c) AB bisects CD or not?</u>

If AB bisects CD, then:

$\mathbf{AB = \frac 12 \times CD}$

The above equation is not true, because:

$\mathbf{3\sqrt 2 \ne \frac 12 \times 3}$

Hence, AB does not bisect CD

<u>(d) CD bisects AB or not?</u>

If CD bisects AB, then:

$\mathbf{CD = \frac 12 \times AB}$

The above equation is not true, because:

$\mathbf{3 \ne \frac 12 \times 3\sqrt 2}$

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

7 0

3 years ago

Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which sta

Masja [62]

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Rate at which Alina swim = 2.5 miles per hour

Rate at which Talia swim = 1.8 meters per second

First we need to change meters per second into miles per hour

As we have given that

$1\text{ miles}=1609\text{ meters}$

and

$1\text{ hour}=3600\text{ seconds}$

So, to change into miles per hours, we'll apply this,

$\frac{1.8\times 3600}{1609}\\\\=4.02\text{ miles per hour}$

So,

Difference between their rates will be given by

$4.02-2.5=1.52\text{ miles per hour}$

Hence, Talia swims about 1.5 miles per hour faster than Alina.

So, Option 'D' is correct.

4 0

4 years ago

Read 2 more answers