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Phoenix [80]
3 years ago
15

What expression using gcf 14xy+8yz

Mathematics
2 answers:
salantis [7]3 years ago
6 0

Answer:

2y(7x + 4z)

Step-by-step explanation:

Consider the common factors of both terms

The gcf of 14 and 8 is 2

The gcf of xy and yz is y

Thus the gcf of both terms is 2y, thus

14xy + 8yz

= 2y(7x + 4z)

pentagon [3]3 years ago
3 0

Answer:

87536UJJKLK;'I7TCFYGHC

Step-by-step explanation:

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Answer:

A, C, D

Step-by-step explanation:

Consider triangles NKL and NML. These triangles are right triangles, because

m\angle K=m\angle M=90^{\circ}

In these right triangles:

  • \overline{NL}\cong \overline {NL} - reflexive property;
  • \angle KLN\cong \angle MLN - given

Thus, triangles NKL and NML by HA postulate. Congruent triangles have congruent corresponding parts, so

\overline{KN}\cong \overline{NM}\\ \\\overline{KL}\cong \overline{LM}\ [\text{option D is true}]

Since

\overline{KN}\cong \overline{NM},

then

7x-4=5x+12\\ \\7x-5x=12+4\\ \\2x=16\\ \\x=8\ [\text{option A is true}]\\ \\MN=KN=7\cdot 8-4=56-4=52\ [\text{option C is true}]

Option B is false, because KN=52 units.

Option E is false, because LN is congruent KN, not LM

4 0
3 years ago
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kolbaska11 [484]

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Step-by-step explanation:

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Step-by-step explanation:

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