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Masja [62]
3 years ago
7

Based only on the information given in the diagram, it is guaranteed that

Mathematics
1 answer:
Alona [7]3 years ago
3 0

Answer:

True

Step-by-step explanation:

Given

In JKL, we have:

\angle J = 27

\angle K = 90

In WXY, we have:

\angle Y = 63

\angle X = 90

Required

Is JKL ~ WXY?

In both triangles, we already have one similar angle (90)

Next, is to determine the third angles in both triangles.

In JKL

\angle J + \angle K + \angle L = 180

We have that:

\angle J = 27 and \angle K = 90

The expression becomes:

27 + 90 + \angle L = 180

117 + \angle L = 180

\angle L = 180-117

\angle L = 63

In WXY

\angle W + \angle X + \angle Y = 180

We have that:

\angle Y = 63 and \angle X = 90

The expression becomes:

\angle W + 63 + 90 = 180

\angle W + 153 = 180

\angle W = 180-153

\angle W = 27

The three angles in JKL are:

\angle J = 27    \angle K = 90   \angle L = 63

The three angles in WXY are:

\angle W = 27   \angle X = 90   \angle Y = 63

<em>By comparing the angles, we can conclude that  both triangles are similar because of AAA postulate (Angle-Angle-Angle)</em>

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Use grouping symbols and at least one exponent to write a numerical expression that has a value of 80.
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To group an expression, means that the factors of the expression are to be separated in (), [] or {}.

An expression with a value of 80 is: 2^2 \times ( [2 + 2] \times [3 + 2] )

The number is given as:

80

Factorize

80 = 2 \times 40

Factorize 40

80 = 2 \times 2 \times 20

Express 2 \times 2 as an exponent

80 = 2^2 \times 20

Express 20 as 4 x 5

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Express 5 as 3 + 2

80 = 2^2 \times ( 4 \times [3 + 2] )

Express 4 as 2 + 2

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Step-by-step explanation:

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<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the base function g(x) = x² was:

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Answer:

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