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2 years ago

Points U, M, And D are collinear with U between U and D.

Mathematics

1 answer:

zheka24 [161]2 years ago

5 0

The value of x from the given equation is 5/3

<h3>How to determine the value</h3>

Since the three points are collinear to U, they are on a straight line which equals 0

Then we have,

UM + UD = MD

5x+30 + 10x+20 = 3x+80

Collect like terms

5x + 10x + 50 = 3x + 80

15x - 3x = 80 - 50

12x = 30

x = 30/12 = 15/6 = 5/3

Thus, the value of x from the given equation is 5/3

Learn more about collinear points here:

brainly.com/question/18559402

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Alan mixes 1 1/3 cups of milk with a can of condensed soup. He makes a total of 2 5/8 cups of soup. How many cups of condensed s

Alborosie

Subtract 2_5/8 minus 1_1/3:
First, get the fractions to have a common denominator by multiplying the denominators together: 8*3 = 24
Rewrite both fractions with this new denominator:
5/8 needs to be multiplied by 3 on top and bottom to make it have a denominator of 24:
5/8 * 3/3 = 15/24
1/3 needs to be multiplied by 8 on top and bottom to make it have a denominator of 24:
1/3 * 8/8 = 8/24
Now that the fractions have been rewritten with the same denominator, subtract the mixed numbers:
2_15/24 - 1_8/24
Whole numbers:
2 - 1 = 1
Fractions:
15/24 - 8/24 = 7/24.
The can of condensed soup contains 1_7/24 cup

3 0

3 years ago

Can someone help me with this question? Whoever helps will get brainliest answer. thank you.

enyata [817]

Answer:

Final answer is $x^2$ .

Step-by-step explanation:

Given expression is $x^{\left(\frac{4}{3}\right)}\cdot x^{\left(\frac{2}{3}\right)}$

Now we need to find about what is product of both factors.

We see that both factors are in exponent form having equal base "x".

So we can apply formula: $x^m\cdot x^n=x^{\left(m+n\right)}$

$x^{\left(\frac{4}{3}\right)}\cdot x^{\left(\frac{2}{3}\right)}$

$=x^{\left(\frac{4}{3}+\frac{2}{3}\right)}$

$=x^{\left(\frac{4+2}{3}\right)}$

$=x^{\left(\frac{6}{3}\right)}$

$=x^2$

Hence final answer is $x^2$ .

5 0

2 years ago

What is the measure of an interior angle of a regular three-sided polygon?

noname [10]

The formula to find the measure of an interior angle is $(n - 2) * 180/n$ , where $n$ represents the number of sides in the polygon. In this problem, $n$ would represent $3$ .

Let's plug in the value for $n$
$(3 - 2) * 180/3$
Let's simplify that.
$=60$

Now we know that the <span>measure of an interior angle of a regular three-sided polygon is 60</span>°. Your answer would be B!

Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish

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