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3 years ago

Quadrilateral ABCD is inscribed in this circle.

Mathematics

2 answers:

Fofino [41]3 years ago

7 0

By the Inscribed Quadrilateral Theorem, a quadrilateral can only be inscribed if and only if opposite angles are supplementary. This means that $\angle D \text{ and } \angle B$ are supplementary, or add up to 180°. This gives us the equation
(3x + 9)° + (2x - 4)° = 180°
Combine like terms:
5x + 5 = 180
Subtract 5 from each side:
5x + 5 - 5 = 180 - 5
5x = 175
Divide both sides by 5:
5x/5 = 175/5
x = 35
This means that $m \angle D=3(35)+9=114
\\m \angle B=2(35)-4 = 66
\\m \angle A=2(35) + 3=73$
We take these 3 angles away from 360 and we will have the measure of angle C:
360 - 114 - 66 - 73 = 107°

enot [183]3 years ago

6 0

Answer:

62 is the answer for my k12 freinds

Step-by-step explanation:

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Step-by-step explanation:

There are 9 friends with 4 or 5 pets so, you subtract 9-4 because there are 4 friends with 2 or 3 = 5 because the question is asking how many more.

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3 years ago

Monica paid sales tax of $1.80 when she bought a new bike helmet. If the sales tax rate was 9%, how much did the store charge fo

Anna11 [10]

Answer:

$20 dollars

Step-by-step explanation:

1.80 / .09 (9% in decimal form)

= 20

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3 years ago

Find the sum of 997 + 992 + 987 +...+ 257 +252

Vikentia [17]

Answer:

93,675

Step-by-step explanation:

We see that the given sequence is an arithmetic sequence with first term 997, common difference -5, and last term 252.

The number of terms in the sequence (n) can be found from the formula for the n-th term:

an = a1 +d(n -1)

(an -an)/d +1 = n

(252 -997)/(-5) +1 = n = 150

The sum of these terms is the average of the first and last terms, multiplied by the number of terms:

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3 years ago

NO LINKS!! Please help me with this Geometry part 15

avanturin [10]

The converse statement is; If I have two ears, then I am a bunny

The inverse statement is; "If I am not a bunny, then I don't have two ears."

The contrapositive statement is; If I don't have two ears, then I am not a bunny.

<h3>How to Interpret Conditional Statements?</h3>

A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences

We are given the conditional statement;

If I am a bunny, then I have two ears

To form the converse of the conditional statement, we will interchange the hypothesis and the conclusion. The converse statement of "If it rains, then they cancel school" is expressed as "If they cancel school, then it rains."

Thus, the converse of our statement "If I am a bunny, then I have two ears." is;

If I have two ears, then I am a bunny

To form the inverse statement of the conditional statement, we will take the negation of both the hypothesis and the conclusion. The inverse of “If it rains, then they cancel school” is expressed as “If it does not rain, then they do not cancel school.”

Thus, the inverse of our statement "If I am a bunny, then I have two ears." is;

"If I am not a bunny, then I don't have two ears."

The contrapositive of our conditional statement is;

If I don't have two ears, then I am not a bunny.

Read more about Conditional Statements at; brainly.com/question/11073037

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4 0

1 year ago

Read 2 more answers

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 14 feet a

Evgesh-ka [11]

Answer:

11.8 % empty

Step-by-step explanation:

volume of cylinder : pi × r² × h

attention ! the question gives us diameter, so for radius we need to cut them in half.

Va = pi × (14/2)² × 9 = pi×49×9 = 1385.44236... ft³

Vb = pi × (10/2)² × 20 = pi×25×20 = 1570.79633... ft³

after filling B with everything in A there is still some empty volume in B

Vb empty = Vb - Va = 185.35397... ft³

so,

100% Vb = 1570.79633... ft³

1% Vb = 15.7079633... ft³

so, how often does 1% of the total volume of B fit into the remaining empty volume of B ?

185.35397... / 15.7079633... = 11.8%

4 0

3 years ago

Quadrilateral ABCD ​ is inscribed in this circle.

Quadrilateral ABCD is inscribed in this circle.