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Mathematics - Massachusetts Department of Education

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<strong>Mathematics</strong> Session 1<br />

ID:299936 ESE113_parallelogram.eps C Common EQ<br />

● 12<br />

W<br />

Parallelogram WXYZ and diagonal WY<br />

are shown in the diagram below.<br />

X<br />

Which <strong>of</strong> the following statements best<br />

proves that XWY ZYW <br />

A. If two parallel lines are cut by a<br />

transversal, then corresponding<br />

angles are congruent.<br />

B. If two parallel lines are cut by a<br />

transversal, then complementary<br />

angles are congruent.<br />

C. If two parallel lines are cut by a<br />

transversal, then alternate interior<br />

angles are congruent.<br />

D. If two parallel lines are cut by a<br />

transversal, then alternate exterior<br />

angles are congruent.<br />

Z<br />

Y<br />

ID:294020 B Common EQ<br />

● 13<br />

Mr. Thurman’s lawn is rectangular and<br />

has a width <strong>of</strong> 92 feet and a length <strong>of</strong><br />

147 feet. He is going to cover his entire<br />

lawn with grass seed.<br />

One bag <strong>of</strong> grass seed costs $53.47. The<br />

grass seed in one bag will cover an area<br />

<strong>of</strong> approximately 5000 square feet.<br />

Which <strong>of</strong> the following estimates is<br />

closest to the total cost <strong>of</strong> the bags <strong>of</strong><br />

grass seed Mr. Thurman will need to<br />

cover his lawn<br />

A. $100<br />

B. $150<br />

C. $200<br />

D. $250<br />

ID:278554 B Common EQ<br />

● 14<br />

What is the value <strong>of</strong> x in the solution <strong>of</strong><br />

the system <strong>of</strong> equations below<br />

A. 2<br />

B. 4<br />

C. 10<br />

D. 16<br />

3x<br />

2y<br />

6<br />

x 2y<br />

10<br />

266

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