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2 years ago

Find the measure of angle Y. A. 115° B. 65° C. 43° D. 22°

Mathematics

2 answers:

abruzzese [7]2 years ago

4 0

According to the property of the triangle, the sum of the two interior angles of a triangle is equal to the opposite exterior angle of that triangle.

Now here,

x is the exterior angle to the triangle and the opposite interior angles to x are 43° and 22°.

Therefore,

x = 43° + 22°

x = 65°

=> Option B (65°) is the correct answer.

Gala2k [10]2 years ago

3 0

Answer:

The answer is B. 65

Step-by-step explanation:

add 43 and 22, then subtract that by 180 and that will give you 115. Then subtract 180 and 115 and the answer is 65.

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The measure of arc LK is?

Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

Because MK is a diameter, then angle L is a right angle. We already know that the measure of angle K is 50, so the measure of angle M has to be 40 because of the triangle angle-sum theorem. The rule for inscribed angles and the arcs they cut off is that the angle is half the measure of its intercepted arc or, likewise, the arc is twice the measure of the angle that cuts it off. Since arc LK is across from angle M and is cut off by angle M, then arc LK is twice the measure of angle M, and is 80. That's the same reason why angle L is 90; arc MK is a semi-circle, with a degree measure of 180, and angle L is half of that.

Arc LK = 80

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2 years ago

A teacher and a doctor each have 45 books. If 4/5 f the teacher's books and 2/3 of the doctor's books are novels, how many more

Anarel [89]

Answer:

3/5

Step-by-step explanation:

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2 years ago

What is the measure of AC 58 Degrees PLEASE HELP

Ann [662]

AC would be double of its angle, which happens to be 58.

58•2 = 116.

Therefore, your answer would be D: 116 degrees.

8 0

3 years ago

Read 2 more answers

Willie changes the quadratic function f(x)=x2?6x+14 to vertex form f(x)=a(x?h)2+k. If Willie does this correctly, what is the va

andrew11 [14]

Answer:

The value of k is 5.

Step-by-step explanation:

Since we know we can convert function's quadratic form to vertex form by completing the square.

f(x)=x2?6x+14

We will add and subtract 9 to our equation in order to complete the square.

$1(x^{2} ?6x+9)-9+14$

Upon completing the square and combining like terms we will get,

$1(x?3)^{2} +5$

Upon comparing Willie's vertex form with our expression we can see that k is 5.

Therefore, the value of k is 5.

8 0

3 years ago

a ladder 30 decimeters long is leaning against the side of a building. the ladder makes an angle of 25 degrees with the side of

ozzi

H=how far up from the ground does the ladder touch the building
h/30=sin 25°
h=30 sin 25°
h=12.7 decimeters(1 decimal place)
Answer: The height that the ladder touch the building far up from the ground is 12.7 decimeters.

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2 years ago