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3 years ago

Match the corresponding parts on the following similar triangles

Mathematics

1 answer:

Irina-Kira [14]3 years ago

5 0

Answer:

Angles:

F & B, A & H, C & J

Sides:

BC and FJ, BA and FH, AC and JH

Step-by-step explanation:

Remember what corresponding parts mean: Corresponding parts are the parts that are the same, or share the scale factor between them, in congruent or similar triangles.

Therefore, the angles that measure 27, 117 and 36 correspond to each other.

F and B both measure 27 degrees. They correspond to each other.

A and H both measure 117 degrees. They correspond to each other.

C and J both measure 36 degrees. They correspond to each other.

Now, for the sides. The sides with measures that share the scale factor between them correspond to each other. We can tell that the scale factor is 0.5 between BAC and JFH, so therefore:

BC measures 12 and FJ measures 6. This fits the scale factor of 0.5.

BA measures 8 and FH measures 4. This fits the scale factor of 0.5.

AC measures 6 and JH measures 3. This fits the scale factor of 0.5.

Hope this helps :)

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3 years ago

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cestrela7 [59]

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3 years ago

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Graph the line with slope 1/2 passing through the point (5, - 1)

True [87]

Answer:

The equation is y = (1/2)x + - 3.5

Step-by-step explanation:

We look for an equation with the form y = mx + b, where m is the slope and b the y-intercept.

We're given the slope, (1/2) which we can use for m:

y = (1/2)x + b

We are told the line goes through (5,-1). We need a value of b that will move the line to include this point. Do that by substituting the values:

x = 5, and y= -1

y = (1/2)x + b

-1 = (1/2)*5 + b

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The equation is y = (1/2)x + - 3.5

See the attached image.

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8 months ago