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Komok [63]
3 years ago
12

What is the measure of the highlighted angle

Mathematics
1 answer:
IgorLugansk [536]3 years ago
7 0
Angle on a straight line sums up to 180
so
72+x + x+130 = 180
2x = 180-72-130
2x =-22
x= -11

so Angle on the LHS is 61°
while angle on the RHS is 119°
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Even more trig ratios see attachment
egoroff_w [7]

Step-by-step explanation:

1. Use the Pythagorean theorem to solve for side KM:

  • 16^2+KM^2=34^2
  • 256+KM^2=1156
  • KM^2=900
  • KM=30

2. Cosine is adjacent over hypotenuse, so cosine of M would be KM/34, or 30/34

3. Tangent is opposite over adjacent, so tangent of L will be KM/16, or 30/16

4. Sine is opposite over hypotenuse, so sine of M will be 16/34

5. KM=30, solved for in step 1.

hope this helps!!

4 0
3 years ago
A company logo is shaped like an equilateral triangle with 2-in.-long sides. What is the height of the logo? Round to the neares
deff fn [24]

Answer:

B. 1.7 in

Step-by-step explanation:

Divide the triangle into 2 congruent right angle triangles

With hypotenuse: 2

Base: 2/2 = 1

Using pythagoras theorem

2² = 1² + h²

h² = 3

h = sqrt(3)

h = 1.732050808

6 0
3 years ago
Read 2 more answers
Please help asap!!!!
igor_vitrenko [27]

Answer:

m\widehat {MP} =46\degree

Step-by-step explanation:

By inscribed angle theorem:

m\angle MQP=\frac{1}{2} \times \widehat {MP}

23\degree =\frac{1}{2} \times m\widehat {MP}

23\degree \times 2= m\widehat {MP}

m\widehat {MP} =46\degree

7 0
3 years ago
What is negative 5 5/6–2 3/5
dangina [55]

Answer:

the answer is -8 13/30

Step-by-step explanation:

4 0
3 years ago
Triple a number decreased by 14
Ira Lisetskai [31]

Since we know 14, but we don't know the other number, we use a variable. To do that, we look at the problem, then we figure out the unknown. The unknown is: A number. We know 14. Since "Triple" means 3, we can put the exponent 3 by X.

Therefore, the answer is X^3-14.

3 0
3 years ago
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