The difference of a number x and 4 is 3

1 answer:

6 0

"the difference of a number x and 4": x - 4
"is": =
"3": 3

Combine the terms so that it looks like the sentence numerically:

"the difference of a number x and 4 is 3": x - 3 = 4

x - 3 = 4 is your answer.

To solve for x:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Add 3 to both sides.

x - 3 = 4

x -3 (-3) = 4 (-3)

x = 4 - 3

x = 1

1 is your answer for x.

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Your next math test is worth 111 points and contains 32 problems. Each problem is worth either 4 points or 3 points. How many 3

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x = 32-y

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We know that side NM is parallel to side XZ. If we consider side NY the transversal for these parallel lines, we create angle pa

Likurg_2 [28]

See the picture attached.

We know:
NM // XZ
NY = transversal line
∠YXZ ≡ ∠YNM

1) We know that ∠XYZ is congruent to ∠NYM by the reflexive property.

The reflexive property states that any shape is congruent to itself.
∠NYM is just a different way to call ∠XYZ using different vertexes, but the sides composing the two angles are the same.
Hence, ∠XYZ ≡ ∠NYM by the reflexive property.

2) ΔXYZ is similar to ΔNYM by the AA (angle-angle) similarity theorem

The AA similarity theorem states that if two triangles have a pair of corresponding angles congruent, then the two triangles are similar.
Consider ΔXYZ and ΔNYM:
∠YXZ ≡ ∠YNM
∠XYZ ≡ ∠NYM
Hence, ΔXYZ is similar to ΔNYM by the AA similarity theorem.