The perimeter of GHJ

Mathematics

1 answer:

Dafna1 [17]3 years ago

6 0

They have a scale factor of 5:6 so first we need to find the perimeter of KLM:
$11 + 14 + 17 = 42$
Then apply the scale factor of 5:6:
$\frac{5}{6} = \frac{x}{42}$
Set the denominators equal:
$\frac{35}{42} = \frac{x}{42}$
So we see that the perimeter of GHJ is 35.

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Find the product. state your answer in standard form <br><br> (x+7)(x squared + 6x - 8)

USPshnik [31]

Answer:

${x}^{3} + 13 {x}^{2} + 34x - 56$

Step-by-step explanation:

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2 years ago

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Y_Kistochka [10]

Answer:

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Step-by-step explanation:

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8 0

2 years ago

2.c)in the diagram below, 4 m and ORIST at R. 5 $ 0 If m_1 = 63, find m_2.

pickupchik [31]

Data:

l and m are parallel lines

QR and ST are perpendicular in R

Angle 1 is 63°

The angle formed by perpendicular lines is a right angle (90°)

Angles 1 and 3 are alternate angles: angles that occur on opposite sides of a transversal line that is crossing two parallel.

Alternate angles are congruent, have the same measure.

$\begin{gathered} m\angle1=m\angle3 \\ \\ m\angle3=63 \end{gathered}$

The sum of the interior angles of a triangle is always 180°. In triangle QRT:

$\begin{gathered} m\angle2+m\angle3+90=180 \\ \\ m\angle2+63+90=180 \\ \\ m\angle2+153=180 \end{gathered}$

Use the equation above to find the measure of angle 2:

$\begin{gathered} \text{Subtract 153 in both sides of the equation:} \\ m\angle2+153-153=180-153 \\ \\ m\angle2=27 \end{gathered}$ Then, the measure of angle 2 is 27°