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densk [106]
3 years ago
9

In the ASA Congruence Postulate, the side between the angles is called the ___ side.

Mathematics
1 answer:
rusak2 [61]3 years ago
6 0
No English plees enpanio
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In ΔVWX, the measure of ∠X=90°, XW = 36, WV = 85, and VX = 77. What ratio represents the sine of ∠W?
eimsori [14]

<u>Given</u>:

In ΔVWX, the measure of ∠X=90°, XW = 36, WV = 85, and VX = 77.

We need to determine the ratio that represents the sine of ∠W

<u>Ratio of sin of ∠W:</u>

The ratio of sin of ∠W can be determined using the trigonometric ratios.

The ratio of sin \ \theta is given by

sin \ \theta=\frac{opp}{hyp}

From the attached figure, the opposite side of ∠W is XV and the hypotenuse of ∠W is WV.

Hence, substituting in the above ratio, we get;

sin \ W=\frac{XV}{WV}

Substituting the values, we get;

sin \ W=\frac{77}{85}

Thus, the ratio of sine of ∠W is sin \ W=\frac{77}{85}

6 0
3 years ago
Which expression is equivalent to 2(3x − 1.75) − 3(1.5x − 2.5)?
lara [203]

Answer:

1.5x+4

Step-by-step explanation:

4 0
2 years ago
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Find the equation of the linear function x 1 2 3 4 y 1 6 11 16 in slope intercept form​
Anestetic [448]

Answer:

do u still need help on this

4 0
2 years ago
Simplifying Algebraic Expressions ; 7+9(-6+8)
Grace [21]

Start by multiplying the 9 out:

9(-6 + 8y) = -54 + 72y

Then, add the 7:

-54 + 72y + 7

Then simplify the whole thing:

-47 + 72y

7 0
3 years ago
Determine the number of possible triangles, ABC, that can be formed given angle A = 30°, a = 4, and b = 6.
Sophie [7]

Answer:

Step-by-step explanation:

Alright, lets get started.

using Sine Law,

\frac{sinA}{a}=\frac{sinB}{b}

\frac{sin30}{4}=\frac{sinB}{6}

sinB=0.75

angle B = 48.6

Another angle will be

angle B' = 180-48.6 = 131.4

considering angle B, angle C = 180 - (48.6+30)=101.4

considering angle B', angle C' = 180-(131.4+30)=18.6

\frac{sinA}{a}=\frac{sinC}{c}

\frac{sin30}{4}=\frac{sin101.4}{c}

c = 7.84

Similarly, finding c'

\frac{sinA}{a}=\frac{sinC'}{c'}

\frac{sin30}{4}=\frac{sin18.6}{c'}

c'=2.55

Hence two triangles are possible with below details:  :   Answer

A = 30, B = 48.6, C = 101.4, c = 7.84

A = 30, B' = 131.4, C' = 18.6, c' = 2.55

Hope it will help :)

5 0
3 years ago
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