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valentina_108 [34]
3 years ago
14

Select the correct answer.

Mathematics
1 answer:
Molodets [167]3 years ago
4 0
To answer this question you must know that there is a theorem called the "Two secants angle theorem", which establishes that the measure of an angle formed when two secants intersecting  outside the circle is equal to 1/2 the difference of the two intercepted arcs.

 Therefore, as you can see, the correct answer is the option B): B)<span>1/2 the difference of the intercepted arcs</span>
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Shaunda answered 86% of the questions on her test correctly. If there were 50 questions on the test, how many did she NOT answer
Arada [10]

Answer: 7 Answers Incorrect

Step-by-step explanation:

86% may be written as (86/100) or as 0.86.

Since "it's a ratio (sic.) problem," then:

                 86/100 = correct/50

                correct = (86/100)*50       (multiply both sides by 50)

                correct = 43

And, 50-43 = 7 incorrect

8 0
3 years ago
Read 2 more answers
In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.
Sveta_85 [38]

Answer:

0.51 cm

Step-by-step explanation:

In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°

By the sine definition,

\sin \angle P=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{MN}{MP}\\ \\MN=MP\sin \angle P\\ \\MN=4\sin 21^{\circ}\approx 1.43\ cm

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

\cos \angle M=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{MH}{MN}\\ \\MH=MN\cos \angle M

In the right triangle, two acute angles are always complementary, so

m\angle M=90^{\circ}-m\angle P=90^{\circ}-21^{\circ}=69^{\circ}

Thus,

MH=1.43\cos 69^{\circ}\approx 0.51\ cm

7 0
3 years ago
Two fractions with different denominators that have the sum of 1/3
klemol [59]
1/4. and. 1/12. will do that.
3 0
4 years ago
HELP PLEASE 10 POINTS!!!
7nadin3 [17]

Answer:

First, write 80% as 80100. Then write an equivalent ratio that has the answer in the numerator and 200 in the denominator. 100 x 2 is 200, so 80 x 2 will be the answer. 80 x 2 = 160. The answer is $160.

3 0
2 years ago
I need help asapp...
prohojiy [21]

The value of b is -16 and the value of ac is 60 after comparing with the standard equation.

<h3>What is a quadratic equation?</h3>

Any equation of the form \rm ax^2+bx+c=0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}

We have a quadratic function:

= 3x² - 16x + 20

On comparing with standard function:

b = -16

a = 3

c = 20

ac = 3(20) = 60

Thus, the value of b is -16 and the value of ac is 60 after comparing with the standard equation.

Learn more about quadratic equations here:

brainly.com/question/2263981

#SPJ1

3 0
2 years ago
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