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Sholpan [36]
4 years ago
8

What is the approximate angle measure for angle W in the triangle below?

Mathematics
1 answer:
Artyom0805 [142]4 years ago
3 0
In this case we know the three sides of the triangle, then this is a SSS triangle (Side Side Side). To solve this case, first we must use the Law of Cosines, applied to the opposite side to the angle we want to find.
We want to find angle W, and its opposite side is XV, then we apply the Law of Cosines to the side XV:
XV^2=XW^2+WV^2-2(XW)(WV)cos W
Replacing the known values:
116^2=96^2+89^2-2(96)(89)cos W
Solving for W
13,456=9,216+7,921-17,088 cos W
13,456=17,137-17,088 cos W
13,456-17,137=17,137-17,088 cos W-17,137
-3,681=-17,088 cos W
(-3,681)/(-17,088)=(-17,088 cos W)/(-17,088)
0.215414326=cos W
cos W = 0.215414326

Solving for W:
W= cos^(-1) 0.215414326
Using the calculator:
W=77.56016397°
Rounded to one decimal place:
W=77.6°

Answer: Third option 77.6°
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bagirrra123 [75]

Answer:

\huge\boxed{\sf 126\° \ OR \ 145 \°}

Step-by-step explanation:

m∠4 + m∠7 = 180    (Adjacent Angles of a parallelogram)

<u>Given that</u> m∠4 = x + 45, m∠7 = x² + 45

x + 45 + x² + 45 = 180

x² + x + 90 = 180

x² + x = 180 - 90

x² + x = 90

x² + x - 90 = 0

Using mid-term break formula

x² + 10x - 9x - 90 = 0

x(x+10) - 9(x+10) = 0

(x - 9)(x + 10) = 0

<u>Either, </u>

x-9 = 0       <u>OR</u>      x+10 = 0

x = 9          <u>OR</u>        x = -10

\rule[225]{225}{2}

Now,

m < 7 = x² + 45

<u>For x = 9</u>

m < 7 = (9)² + 45

m < 7 = 81 + 45

<h3>m < 7 = 126°</h3>

<u>For x = -10</u>

m < 7 = (-10)² + 45

m < 7 = 100 + 45

<h3>m < 7 = 145°</h3>

\rule[225]{225}{2}

Hope this helped!

<h3>~AnonymousHelper1807</h3>
4 0
3 years ago
Suppose g(x)=f(x+2)-3
kap26 [50]

The transformations which map f(x) to g(x) according to the equation are; Translation of f(x) 2 units to the left and 3 units upwards.

<h3>Which translations maps f(x) to g(x)?</h3>

The equation given in the task content is as follows;

  • g(x)=f(x+2)-3

It therefore follows that the transformations which would produce function g(x) from f(x) involves a 2 units translation to the left and a 3 units translation upward.

Remarks:

The complete question requires that the transformations from f(x) to g(x) be identified.

Read more on transformations;

brainly.com/question/2689696

#SPJ1

8 0
2 years ago
The snowfall for each day of a school week was: 3 inches, 1 inch, 1 inch, 7 inches, and 3 inches. Lisa said that the mean snowfa
katen-ka-za [31]
No bc Lisa didn’t add all of the numbers together. When finding the mean you add all numbers together then divide by how many numbers you have.
5 0
3 years ago
How do you read this expression 8(8x+7) and 8(3x)+8(7)
Misha Larkins [42]

Answer:

64x+56 & 24x+56

Step-by-step explanation:

I hope this is what you mean because this is not an equation as it is not set equal to anything.


Both problems solved by distributive property -

8*8x + (8*7) = 64x+56

8*3x + (8*7) = 24x+56

4 0
3 years ago
6Avani had $350 when she started her savings account. She withdrew $50 to buy a gift for her mom. What percent of her original s
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Answer: 14%

Step-by-step explanation:

50:350*100 =

( 50*100):350 =

5000:350 = 14.29

i hope this helps !!!!

8 0
3 years ago
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