Ben uses a compass and a straightedge to construct ∠DEF ≅ ∠ABC, as shown below: Which statement best explains why Ben uses the width BI to create the arc JK from point E?

A ∠DEF ≅ ∠ABC when BH = EK, BI = JK, and HI = EJ.
B BI = JK when ∠DEF ≅ ∠ABC.
C BI = EJ when ∠DEF ≅ ∠ABC.
D ∠DEF ≅ ∠ABC when BH = EJ, BI = EK, and HI = JK.

Choice D

∠DEF ≅ ∠ABC when BH = EJ, BI = EK, and HI = JK.

Explanation:

Effectively what Ben is doing is ensuring that

are the three congruent corresponding sides. This is by construction. After those constructions, he would use SSS to prove the triangles congruent. Lastly, he can then say angle DEF is congruent to angle ABC due to CPCTC.

CPCTC = corresponding parts of congruent triangles are congruent.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

black lol

step-by-step explanation:

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i can tell you jamal now has 3 cookies xd

tommy has 2.

this made me lol.