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3 years ago

Two supplementary angles are congruent. Which equation gives the measure in degrees, d, of each angle?

2 answers:

7 0

In this problem, d=degrees per angle. Supplementary angles are any 2 angles that add up to 180. Because both angles are congruent in this question, they both equal the same thing, so 180 ÷ 2 = d. In algebraic form, it is 2d=180.

Answer:

2d=180

Nimfa-mama [501]3 years ago

5 0

Solution:

The given statement is :Two supplementary angles are congruent.

Two angles are said to be supplementary if sum of these two angles is 180°.

Let one Angle be A, then another angle will be 180 - A.

As given:

A≅180-A

A=180 -A

A +A= 180

2 A = 180

Dividing both sides by 2, we get

A= 90°

The Measure of each angle will be of 90°.

i.e , d = 90°

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Addison made 11 quarts of punch for her party. How many gallons of punch did she make? THANK YOU ;)

artcher [175]

11 quarts=2.75 gallons. 4 quarts eqals a gallon. Hope that helps!!!!

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3 years ago

. At a clothing store, 12 people purchased blue sweaters, 8 purchased green sweaters, 4 purchased gray sweaters, and 7 purchased

DedPeter [7]

Answer:

The probability that they purchased a green or a gray sweater is $\frac{12}{31}$

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

$P(A)=\frac{number of favorable cases}{number of possible cases}$

The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:

P(A∪B)= P(A) + P(B) - P(A∩B)

Where:

P (A): probability of event A occurring.

P (B): probability that event B occurs.

P (A⋃B): probability that event A or event B occurs.

P (A⋂B): probability of event A and event B occurring at the same time.

Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)

In this case, being:

P(A)= the probability that they purchased a green sweater
P(B)= the probability that they purchased a gray sweater
Mutually exclusive events

You know:

8 purchased green sweaters
4 purchased gray sweaters
number of possible cases= 12 + 8 + 4+ 7= 21

So:

$P(A)=\frac{8}{31}$

$P(B)=\frac{4}{31}$

P(A⋂B) = 0

Then:

P(A∪B)= P(A) + P(B)

P(A∪B)= $\frac{8}{31}+ \frac{4}{31}$

P(A∪B)= $\frac{12}{31}$

The probability that they purchased a green or a gray sweater is $\frac{12}{31}$

5 0

3 years ago

in Ryan's V. Class 50% of the students like the teacher if 15 of the students like the teacher how many students are in that cla

Anton [14]

Answer: 30 students.

Step-by-step explanation: They are saying 50% of the class like the teacher. We know that 50% is half of the 100% so that mean only half of the students like the teacher. Is 15 students like the teacher it means that 15 are half of the students in the class. The other half should be another 15. So 15+15=30 or 15x2=30.

I hope I didn’t make it to confusing.

6 0

3 years ago

Quadrilateral ABCD is inscribed in this circle.

Svetllana [295]

Answer:

132°

Step-by-step explanation:

Quadrilateral ABCD is inscribed in a circle,

So, it is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

$\implies \: x \degree + (3x - 12) \degree = 180 \degree \\ \\ \implies \: (4x - 12) \degree = 180 \degree \\ \\ \implies \: 4x - 12 = 180 \\ \\ \implies \: 4x = 180 + 12 \\ \\ \implies \: 4x = 192 \\ \\ \implies \: x = \frac{192}{4} \\ \\ \implies \: x = 48\\\\$

(3x-12)° = (3*48 - 12)° = (144 - 12)° = 132°

$\implies \: m\angle B = 132\degree\\\\$

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2 years ago

Which property of equality would you use to solve the equation 14x = 56

vovikov84 [41]

14x = 56...divide both sides by 14
division property of equality
x = 56/14
x = 4

7 0

3 years ago

Read 2 more answers