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3 years ago

Fill in each blank with a true statement

Mathematics

1 answer:

Rudik [331]3 years ago

4 0

Answer:

See below.

Step-by-step explanation:

7.)

Supplementary angles add up to 180°. ∠B's supplement is 22°. This means ∠B is 158°. Since ∠A ≅ ∠B, the m∠A = 158°.

8.)

Again, supplementary angles add up to 180°. ∠P is a right angle meaning it is 90°. Therefore, the m∠Q is 90° as well.

9.)

Complementary angles add up to 90°. In order for ∠S and ∠T to be complementary, they both need to angle measurements less than 90° meaning they both need to be acute angles.

Now that we know that ∠T is acute, the only way ∠U can be its supplement is if it has an angle measure greater than 90°. Therefore, ∠U is an obtuse angle.

10.)

Similar to question 9, if an angle is obtuse, its supplement must be an acute angle.

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In a finance class, the final grade is based on three tests. Historically, the instructor tells the class that the joint probabi

Greeley [361]

Answer:

0.5556 or 55.56%

Step-by-step explanation:

If the probability of getting an A in both tests, P(B), is 0.5, and the probability of getting an A in the first test, P(F), is 0.9, then the probability of getting an A on the second test, P(S) is:

$P(B) = P(F)*P(S)\\0.5=0.9* P(S)\\P(S) = 0.5556=55.56\%$

Given that a student has scored an A on the first test, the probability that the student will score an A on the second test is 0.5556 or 55.56%

4 0

3 years ago

1. Pilar and her sister Marisol live near the beach. Pilar has 80 seashells in her collection when Marisol started collecting se

enot [183]

Answer:

a. 20x > 10x + 80

b. •20x > 10x + 80

• Subtract 10x from both sides: 20x -10x > 10x + 80 - 10x

• Simplify: 10x > 80

• Divide both sides by 10: 10x/10 > 80/10

• Simplify: x > 8

Step-by-step explanation:

10x + 80 = number of seashells Pilar has.

20x = number of seashells Marisol has.

answer for a: 20x > 10x + 80

answer for b: 20x > 10x + 80

• Subtract 10x from both sides: 20x -10x > 10x + 80 - 10x

• Simplify: 10x > 80

• Divide both sides by 10: 10x/10 > 80/10

• Simplify: x > 8

3 0

3 years ago

Find x in each triangle

Nimfa-mama [501]

Answer:

x=20

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

21 ^2 + x^2 = 29^2

441+x^2 =841

Subtract 441 from each side

x^2 = 841-441

x^2 = 400

Take the square root of each side

sqrt(x^2) = sqrt(400)

x = 20

4 0

3 years ago

Read 2 more answers

Y= 4x-9 and y=x-3 Also using transitive property

Andreyy89

Y = 4x - 9 and y = x-3 so the two right sides (4x-9 and x-3) must be equal

4x-9 = x-3

Let's solve for x

4x-9 = x-3
4x-9+9 = x-3+9 ... add 9 to both sides
4x = x+6
4x-x = x+6-x ... subtract x from both sides
3x = 6
3x/3 = 6/3 ... divide both sides by 3
x = 2

If x = 2, then y is...
y = 4*x - 9 = 4*2-9 = 8-9 = -1
which can also be found by
y = x-3 = 2-3 = -1

So overall x = 2 and y = -1

We have the ordered pair (x,y) = (2,-1)

4 0

3 years ago

How many terms are in the algebraic expression Also, What do they mean by "Terms"

kari74 [83]

Answer:

There are 4 terms

Step-by-step explanation:

A term is a single mathematical expression. Terms can be identified with a plus or minus sign in front of them. Terms can also be multiplied and divided.

So, in this case, the terms are:

-7

12x^4

-5y^8

4 0

3 years ago