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Alchen [17]
3 years ago
6

Hellllllp I need this answer ADAP‼️‼️ :(((

Mathematics
1 answer:
Ede4ka [16]3 years ago
6 0

Answer:

m\angle D=64^{\circ}

Step-by-step explanation:

Given

\triangle ABE\sim \triangle TCD

Similar triangles have conruent corresponding angles, so

m\angle A=m\angle T=61^{\circ}\\ \\m\angle B=m\angle C=55^{\circ}\\ \\m\angle E=m\angle D

The sum of the measures of all interior angles of the triangle is always equal to 180°, so

m\angle T+m\angle C+m\angle D=180^{\circ}\\ \\61^{\circ}+55^{\circ}+m\angle D=180^{\circ}\\ \\m\angle D=180^{\circ}-61^{\circ}-55^{\circ}=64^{\circ}

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Rewrite in simplest terms: -10(-v+6w)-w-9(-3w-v)−10(−v+6w)−w−9(−3w−v)
spayn [35]

The simplest form of the expression is -10 + 8v + 32w

Given the expression

-10(-v+6w)-w-9(-3w-v)

First, we need to expand the given equation using the distributive law:

-10(-v+6w)-w-9(-3w-v)

= -10-v+6w-w-9(-3w)+9(v)

=  -10-v+6w-w+27w+9v

Collect the like terms:

= -10 - v +9v + 6w - w+ 27w

= -10 + 8v + 32w

Hence the simplest form of the expression is -10 + 8v + 32w

Learn more here: brainly.com/question/14874506

6 0
3 years ago
Is perpendicular to OS. is a_____line.
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4 years ago
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yaroslaw [1]
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4 years ago
Can someone please explain how to do this and what’s the answer? asap
Serga [27]

Answer:

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Step-by-step explanation:

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3 years ago
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marusya05 [52]

Answer:

1. sin(Z) = 0.6

2. sin(C) = 0.28

3. cos(Z) = 0.8

4. tan(C) = 0.75

5. tan(50°) = 1.1918

6. cos(40°) = 0.7660

7. sin (25°) = 0.4226

8. sin(75°) = 0.9659.

Step-by-step explanation:

The trigonometric ratios are

cos \ \theta = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}

sin \ \theta = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}

tan \ \theta = \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length}

1. The length of the opposite leg to angle Z = 24

The length of the hypotenuse side = 40

∴ sin(Z) = 24/40 = 0.6

2. The length of the opposite leg to angle C = 14

The length of the hypotenuse side = 50

∴ sin(C) = 14/50 = 0.28

3. The length of the adjacent leg to angle Z = 24

The length of the hypotenuse side = 30

∴ cos(Z) = 24/30 = 0.8

4. The length of the opposite leg to angle C = 27

The length of the adjacent leg = 36

∴ tan(C) = 27/36 = 0.75

5. Using the calculator, and rounding the answers to the nearest 10,000, we have;

tan(50°) = 1.1918

6. Using the calculator, and rounding the answers to the nearest 10,000, we have;

cos(40°) = 0.7660

7. Using the calculator, and rounding the answers to the nearest 10,000, we have;

sin (25°) = 0.4226

8. Using the calculator, and rounding the answers to the nearest 10,000, we have;

sin(75°) = 0.9659.

3 0
3 years ago
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