3 years ago

Which expression is equivalent to 76× + 68

Mathematics

2 answers:

Naily [24]3 years ago

8 0

Answer:

4(19x+17)

Step-by-step explanation:

kap26 [50]3 years ago

4 0

Answer:

You can just switch them around, 68 + 76×

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3 years ago

In a triangle XYZ, AB is a midsegment. Find the length of AB.

hammer [34]

Answer:

Option A. $AB=25\ units$

Step-by-step explanation:

step 1

Find the value of x

we know that

If AB is a mid-segment, then AB is parallel to YZ

Triangles AXB and YXZ are similar by AA Similarity Theorem

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

$\frac{YZ}{AB}=\frac{YX}{AX}$

we have that

$AB=\frac{1}{2}YZ$ ----> by Midpoint Theorem

$YZ=2AB$

substitute the given values in the expression above

$\frac{2AB}{AB}=\frac{22+2x+2}{2x+2}$

solve for x

$2=\frac{24+2x}{2x+2}$

Multiply by (2x+2) both sides

$4x+4=2x+24$

Group terms

$4x-2x=24-4$

$2x=20$

$x=10$

step 2

Find the length of AB

$AB=3x-5$

substitute the value of x

$AB=3(10)-5=25\ units$

3 0

4 years ago

Which expression is equivalent to 76× + 68​

Which expression is equivalent to 76× + 68