In the diagram, △ F H J ≅△ H F G . Find the values of x and y. Enter your solutions as numbers.

Mathematics

2 answers:

aniked [119]3 years ago

7 0

Let's solve for x first.

6x+8=35, because of the Alternate Interior Angles Theorem. When solving for x, that gives us x=4.5

According to CPCTC ~ Congruent Parts of Congruent Triangles are Cogruent, 2.5=2y-3 .. solving for y, that would give us y= 2.75

Happy solving! Hope that helps!

loris [4]3 years ago

4 0

Y= 2.75 add 3 to both sides and divide by 2 (2y - 3 = 2.5)

x= 4.5 subtract 8 from both sides and divide by 6 (6x + 8 = 35)

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Bas_tet [7]

$\textsf{Hey there!}$

$\text{Select the expressions that are equicalent to 8(6m)}\downarrow$

$\text{We DON'T have any like terms so we CAN'T pair them off!}$

$\mathsf{8(6m) \rightarrow 8 \times 6 \times \ m}\\\mathsf{8\times 6 = 48}}\\\mathsf{48\times\ m = 48m}\\\\\\\boxed{\boxed{\mathsf{Answer: \bf{48m}}}}\checkmark$