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3 years ago

Helppppppp!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

charle [14.2K]3 years ago

4 0

The two triangles that make up the parallelogram are congruent, which means their corresponding angles are congruent. The opposite angles are both 115 degrees and angle 1 is equal to 50 degrees, as they are corresponding angles.
Interior angles of triangles add to equal 180 degrees, so you can set up an equation to find m<2:

180 = 115 + 50 + x
180 = 165 + x
15 = x

Answer:
The measure of angle 2 is 15 degrees.

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Right triangle ABC is similar to right triangle DEF. If the side lengths for triangle ABC are 15, 20, 25, respectively, which va

solniwko [45]

Answer:

$A = 15$ $B = 20$ $C = 25$

$D = 30$ $E = 40$ $F = 50$

$D = 3$ $E = 4$ $F = 5$

Step-by-step explanation:

Given

Similar Triangles: ABC and DEF

$A = 15$

$B = 20$

$C = 25$

Required

Determine the sides of DEF

No options were given, so I will solve on a general terms.

Since both triangles are similar, then the following relationship exists.

DEF = ABC * n

i.e.

$D = A * n$ $E = B * n$ $F = C * n$

Where

$n = Scale\ Factor$

Assume n = 2.

So, we have:

$D = A * n$

$D =15 *2$

$D = 30$

$E = B * n$

$E = 20 * 2$

$E = 40$

$F = C * n$

$F = 25 * 2$

$F = 50$

Assume $n = \frac{1}{5}.$

So, we have:

$D = A * n$

$D =15 *\frac{1}{5}$

$D = 3$

$E = B * n$

$E = 20 * \frac{1}{5}$

$E = 4$

$F = C * n$

$F = 25 * \frac{1}{5}$

$F = 5$

So, the possible sides are:

$A = 15$ $B = 20$ $C = 25$

$D = 30$ $E = 40$ $F = 50$

$D = 3$ $E = 4$ $F = 5$

6 0

3 years ago

Tn = -2n + 3, find t4

yanalaym [24]

Substitute n = 4

t(4)=-2(4)+3

-8+3= -5

therefore t(4) = -5

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3 years ago

Factor the following expression x^2-36

Tomtit [17]

Factor the following:
x^2 - 36
x^2 - 36 = x^2 - 6^2:
x^2 - 6^2
Factor the difference of two squares. x^2 - 6^2 = (x - 6) (x + 6):
Answer: (x - 6) (x + 6)

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3 years ago

F(x,y)=4x^2y^3-square root 2x+5y in the direction of =-1,4

dedylja [7]

Answer:

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Step-by-step explanation:

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3 years ago

Evaluate if x = 13 and y = –4. 3(2x – y) A. 82 B. –15 C. 90 D. –63

Taya2010 [7]

$3(2x-y)=3(2*13+4)=3(26+4)3*30=90$

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3 years ago