Write the sum of the numbers as the product of their gcf and another sum Problem: 30+54

1 answer:

4 0

The correct answer here is that the sum has to be 84. This is due to the fact that 30 + 54 is 84, and the greatest common factor is 6 because the factors of 30 are 1, 2, 3, 5, 6 , 10, 15, and 54's Factors: 1, 2, 3, 6, 9, 18, 27, and 54, so from this we can see that 6 is the great common factor.

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This figure shows △XYZ . MZ¯¯¯¯¯¯ is the angle bisector of ∠YZX . What is XM ? Enter your answer, as a decimal, in the box. unit

astraxan [27]

Answer:

Length of XM is 5.5 units.

Step-by-step explanation:

Given △XYZ where MZ is the angle bisector of ∠YZX . we have to find the length of XM.

A triangle with vertices X, Y, and Z. Side XZ is base. A line segment drawn from Z to M bisects ∠YZX into two parts ∠YZM and ∠XZM.

YZ=7 units, XZ=11 units and YM=3.5 units

By angle bisector theorem which states that an angle bisector of an angle divides the opposite side in two segments that are proportional to the another two sides of the triangle.

Hence, $\frac{YM}{MX}=\frac{YZ}{XZ}$

⇒ $\frac{3.5}{MX}=\frac{7}{11}$

⇒ MX=5.5 units.

Hence, length of XM is 5.5 units.

4 0

3 years ago

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The figure is made up of 2 rectangles and 2 right triangles. What is the area of the figure? 173 units2 253 units2 277 units2 32

zubka84 [21]

Here, Area of a Triangle = 1/2 * b * h
A = 1/2 * 6 * 8
A = 1/2 * 48
A = 24

Area of two traingles = 2(24) = 48

Now, Area of a rectangle = 25 * 5 = 125

Now, Total area of the figure = 125 + 48 = 173 units2

In short, Your Answer would be Option A

Hope this helps!

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3 years ago

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laiz [17]

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