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Dimas [21]
3 years ago
14

If T is the midpoint of SU, find x.

Mathematics
1 answer:
navik [9.2K]3 years ago
6 0

A midpoint lies right in the middle so this splits the segment into two equal halves.

ST = TU

Let's plug the expressions from the picture into our equation.

8x + 11 = 12x - 1

Add 1 to both sides, and subtract 8x from both sides.

12 = 4x

Divide both sides by 4

3 = x

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To steam rice, Paul uses m cups of water for every p
GenaCL600 [577]

Answer:

\frac{(p + 2)m}{p}

Step-by-step explanation:

Given

m cups of water = p cups of rice

Required

Cups of water required for p + 2 cups of rice

<em>The question shows a direct proportion between cups of rice and cups of water.</em>

<em>So, the first step is to get the proportionality constant (k)</em>

<em />

This is calculated using the following expression;

m = k * p

Where k represents cups of water and p represents cups of rice

Make k the subject of formula

k = \frac{m}{p}

Let x represents cups of water when cups of rice becomes p + 2;

k becomes:

k = \frac{x}{p + 2}

Equate both expressions of k; to give

\frac{m}{p} = \frac{x}{p + 2}

Multiply both sides by p + 2

(p + 2) * \frac{m}{p} =(p + 2) *  \frac{x}{p + 2}

(p + 2) * \frac{m}{p} =x

x = (p + 2) * \frac{m}{p}

x =  \frac{(p + 2)m}{p}

<em>Hence, the expression that represents the cups of water needed is </em>\frac{(p + 2)m}{p}<em></em>

4 0
3 years ago
True or false? The circumcenter of a triangle is the center of the only circle that can be circumscribed about it
Dafna11 [192]

Answer:

The statement is true.

Step-by-step explanation:

Given the statement we have to tell the statement is true or false.

The statement is

"The circumcenter of a triangle is the center of the only circle that can be circumscribed about it"

The circumcenter of triangle is the point in the triangle where the perpendicular bisectors of sides intersect.

The center of the circumscribed circle is the the point where the perpendicular bisectors of the sides meet.

Hence,

The circumcenter is also center of the triangle's circumcircle - the circle that pass through all three of the triangle's vertices.

Therefore, the given statement is true.

3 0
3 years ago
Read 2 more answers
The expression 16^-3/4 is equivalent to what expression
ivann1987 [24]

Answer:

1/8.

Step-by-step explanation:

16^-3/4

=  (⁴√16)^-3

= 2^(-3)

= 1 / 2^3

= 1/8.

8 0
3 years ago
What is ghe solution to this equation?<br> 02(x - 20) = 44 - x
Oliga [24]
X= 40 is the answer to this equation
5 0
2 years ago
The measure of angle Y is 48 degrees, and the measure of angle Z is 70 degrees. What is the measure of angle W?
White raven [17]

Answer:

the answer is B hope i can help

Step-by-step explanation:

UwU

3 0
3 years ago
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