Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why ACDE=AOPQ?
Check all that apply.
Q
96
U
A.
B. HA
C. HL
D. AAS
E. LL
F. ASA
SAS

Answer:

[tex] \pink{ \pmb{SOLUTION:-}}[/tex]

Here,

[tex]\displaystyle{ \frac{6 + x}{16 + x} = \frac{36 + x}{76 + x} }[/tex]

[tex](6 + x)(76 + x) = (36 + x)(16 + x)[/tex]

[tex]456 + 6x + 76x + {x}^{2} = 576 + 36x + 16x + {x}^{2} [/tex]

[tex]82x + 456 = 576 + 52x[/tex]

[tex]82x - 52x = 576 - 456[/tex]

[tex]30x = 120[/tex]

[tex]\displaystyle{x = \frac{120}{30} }[/tex]

[tex]{ \rightarrow{ \pmb{x = 4}}}[/tex]

Answer:

C) 9

Step-by-step explanation:

10(4x + 4) = 400

40x + 40 = 400

40x = 360

x = 9

Answer:

First factor out the expression

(10•4x)+(10•4)=400

40x+40=400

Then solve

40x+40=400

-40 = -40

40x=360

------ ------

40 40

x=9

C) 9

☆anvipatel77☆

•Expert•

Brainly Community Contributor

Answer:

A.765 seats are not in the balcony

Step-by-step explanation:

if 15% are in the balcony then 85% are not in the balcony so..

900 * 0.85 = 765

Answer:

765

Step-by-step explanation:

900*.15=135

900-135 = 765

Answer:

A.

[tex] - \frac{ \sqrt{377} }{29} [/tex]

Answer:

log_b x^3y^4

Step-by-step explanation:

see image

Answer:

  77 cm²

Step-by-step explanation:

The area of a triangle is given by the formula ...

  A = 1/2bh

where b is the base length, and h is the altitude perpendicular to the base.

__

Here, you are shown b=22 cm and h=7 cm. The area is ...

A = 1/2(22 cm)(7 cm) = 77 cm²

Since we know the scale factor of 1 inch represents 7.5 feet, we can plug in the dimensions for the scale on which the architect drew.

For 14 feet, we can multiply 14 by 1 inch/7.5 feet to get a product of 1.87 inches. Then, we can do the exact same thing with the other width of the floor, which is 24. 24 × 1/7.5 = 3.2

The final dimensions of the blueprint will be D, 1.87 inches by 3.2 inches.

Answer:

4 is a factor

Step-by-step explanation:

thats what a number being multiplied is called

Answer:

65%

Step-by-step explanation:

65%

One decimal place is equal too the 100% so .65 is equal too 65%

Sorry if my english is not great.

Answer:

items sold in 1 day = 140

Step-by-step explanation:

14 pairs of jeans = 28 jeans total

the 14 "pair of jeans" repesents 20% of the total = x

28 = 20x/100

2800/20 = x

x = 140

Answer:

x=-2

Step-by-step explanation:

Since it's a vertical line the answer is going to be x= which ever number the line is on. In this case x=-2

Answer:

The correct answer is C.76.

Hope this helps you!!

Please Mark me Brainleast Czn!!!!!!!!

Answer:

a. I

b. II

c. IV

Answer:

there is 92.25

Step-by-step explanation:

15x2=30

then you have to find out 5% out of 45 because you need to get 35 not 30.

Answer:

2

Step-by-step explanation:

12/8 is equal to 6/4.

6 divided by 3 is 2.

Answer: 7/10

Step-by-step explanation:

The probability of an event can be calculated as:

[tex]P(E)=\frac{n(F)}{n(T)}[/tex]

Where n(F) is favorable outcomes and n(T) is total possible outcomes.

The total number of marbles can be obtained as,

8 + 6 + 6 = 20

The probability of marble being white can be calculated as,

[tex]P(W)=\underline{\frac{6}{20}}[/tex]

Now, the probability of the marble not being white can be evaluated as,

[tex]\begin{aligned}P^{\prime}(W) &=1-\frac{6}{20} \\&=\frac{20-6}{20} \\&=\frac{14}{20} \\&=\frac{7}{10}\end{aligned}[/tex]

Therefore, the probability of the marble not being white is 7/10

Answer:

Perimeter: 120*2 + 75*2 = 240 + 150 = 390 yards

Area: 120*75 = 9000 [tex]yards^{2}[/tex]

Answer:

60.32

Step-by-step explanation:

682.56-200=482.56

482.56/8= 60.32

Answer:

Step-by-step explanation:

P= probablity

P (>3  or odd)  

assuming this std.  number cube is 1 to 6, then,

greater than 3 is 50%

so  we've accounted for   1, 3, 4, 5, 6 on the dice what's left  2  :D

so P( >3 or odd) = 5/6  or  83.3333333333333%

Answergrater than 3

Step-by-step explanation:

Answer:

The one on the left shows a proportional relationship between x and y.

Step-by-step explanation:

equation your going to use = y ÷ x or y/x (both mean divide)

2÷4 = 0.5

5÷10 = 0.5

6÷12= 0.5

All have the same answers so that makes it a proportional relationship.

Answer:

Q+D = 65, multiply both sides by 2525Q + 25D = 162525Q + 10D = 950  subtract to get            15D = 675               D = 675/15 = 135/3 = 45 dimes               Q = 65-45 = 20 quarters25(20) + 10(45) = 500+450 = 950

Answer:

33 = - 20

Step-by-step explanation:

In this equation you have to use BEMA or PEMDAS (however you learned it) ot solve. (Brackets, Exponents, Multiplcation/Divison, Addition/Subtraction) or (Parentheses, Exponents, Multiplication, Division, Addition, SUbtraction)

5(3 +4) - 2 would be simplified down first to

5(7) -2 because parentheses are the first thing you do in any equation like this.

35 -2 because multiplication and divison are next due to the fact there are no exponents

33 because subtraction is last. You then do the same to the other side.

7 -3 (-2 +11)

7 + -3(9) (you can change the minus three to a plus negative three to make the next step more clear)

7 + -27

-20

33 = -20

The rate of change of the sles of the clothing store that Ezekiel manages from May to June is $2,175

Subtraction is the mathematical operation that involves determining the difference between two or more numbers.

Rate of change = sales in June - sales in May

$131,975 -  $129,800 = $2,175

To learn more about subtraction, please check: https://brainly.com/question/854115

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Answer:

First Option (-4,-3)

Step-by-step explanation:

x+2y=-10

-y=3x+15

-4+2(-3)=-10
-10=-10

-3=3(-4)+15
-3=-3

Answer:

72%

Step-by-step explanation:

Answer:

3 30 page printers, 10 70 page printers

Step-by-step explanation:

x + y = 13

40x+70y = 820

Solving for y in first equation gives: y = 13 - x

Plug into second equation: 40x + 70(13 - x) = 820

40x + 910 - 70x = 820

-30 x = -90

x = 3

Plug into original equation: 3 + y = 13

y must = 10.

So, the company owns 3 thirty page presses, and 10 70 page presses,

Answer:

Step-by-step explanation:

your dad said he will help you

The approximate length of one side of the tissue box which has a volume of about 90 cubic inches is 4.5 inches.

Volume of cube is the amount of quantity, which is obtained by it in the 3 dimensional space.

The volume of the cube can be given as,

[tex]V=a^3[/tex]

Here, (a) is the side of the cube.

A tissue box, shaped like a cube, has a volume of about 90 cubic inches. Put the value of volume in above formula,

[tex]90=a^3\\a^3=90\\a=\sqrt[3]{90}\\a=4.48\\a\approx 4.5\rm\; in[/tex]

Thus, the approximate length of one side of the tissue box which has a volume of about 90 cubic inches is 4.5 inches.

Learn more about the volume of cube here;

https://brainly.com/question/3390425

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