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3 years ago

Which angles are supplementary to∠4? Select all that apply.

Mathematics

1 answer:

andrezito [222]3 years ago

6 0

9514 1404 393

Answer:

B, D, E

Step-by-step explanation:

All of the acute angles are congruent to each other. All of the obtuse angles are supplementary to them and are also congruent to each other. Angles 2, 3, 6, 7 are supplementary to angle 4. The ones on the list of choices are ...

∠2, ∠6, ∠7

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A ball as a radius of 18cm. What is the approximate volume of the ball?

KatRina [158]

Answer:

what I got was 24438.9cm³

7 0

3 years ago

PQR is a triangle. PR = 13 cm, PQ = 12 cm and angle QPR = 30° Calculate the length of QR.

Deffense [45]

Answer:

6.55 cm

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, acute, scalene, obtuse, right and equilateral triangle.

Cosine rule is used to show the relationship between sides and angles of a triangle. If a, b, and c are sides of a triangle, while A, B, and C are angles opposite to the corresponding sides. Then:

c² = a² + b² - 2ab*cos(C)

Given that PR = 13 cm, PQ = 12 cm and angle QPR = 30°, hence:

QR² = PR² + PQ² - 2(PR)(PQ)cos(∠QPR)

QR² = 13² + 12² - 2(13)(12)cos(30) = 169 + 144 - 270

QR² = 43

QR = 6.55 cm

3 0

2 years ago

Apply the distributive property to factor out the greatest common factor of 12+20

Lunna [17]

4(3+5) --> this means that 12/4=3 and 20/4=5 and 4 is the GCF

3 0

2 years ago

I don’t understand this one

Masja [62]

Answer:

see below

Step-by-step explanation:

Put -1 where x is in each expression and evaluate it.

You will find that the expression is zero when the numerator is zero. And you will find the numerator is zero when it has a factor that is equivalent to ...

(x +1)

Substituting x=-1 into this factor makes it be ...

(-1 +1) = 0

Evaluating the first expression, we have ...

$\dfrac{4(x+1)}{(4x+5)}=\dfrac{4(-1+1)}{4(-1)+5}=\dfrac{4\cdot 0}{1}=0$

This first expression is one you want to "check."

You can see that the reason the expression is zero is that x+1 has a sum of zero. You can look for that same sum in the other expressions. (The tricky one is the one with the factor (x -(-1)). You know, of course, that -(-1) = +1.)

5 0

3 years ago

Solve the equation 4 sin (x +30°) = 2 for 0 < x < 365

tatuchka [14]

$4 \sin(x + 30) = 2 \\ \sin(x + 30 ) = \frac{2}{4} \\ \sin(x + 30) = \frac{1}{2} \\ \sin(x + 30) = \sin(30) \\ x + 30 = 30 \\ x = 30 - 30 \\ x = 0$

Hence, x = 0°, 180° and 360° Ans

3 0

2 years ago