MATHEMATICS HIGH SCHOOL

Triangle ABC is similar to triangle QRS by the AA Similarity Postulate.Also, m∠A = 45° and m∠S = 75°.

What is m∠B?

_________ °

Answers

Answer 1
Answer:

Answer:

Measure of ∠B is 60°    

Step-by-step explanation:

Given triangle ABC is similar to triangle QRS.

m∠A = 45° and m∠S = 75°

we have to find the measure of ∠B.

As triangles are similar then corresponding angles are congruent.

⇒ ∠A≅∠Q, ∠B≅∠R, ∠C≅∠S

hence, m∠C=m∠S=75°

By angle sum property

m∠A+m∠B+m∠C=180°

⇒ 45°+m∠B+75°=180°

⇒ m∠B+120°=180°

⇒ m∠B=60°

hence, measure of ∠B is 60°
Answer 2
Answer: Angle B is 60 degrees

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Write the equation of line perpendicular to y = 4 that passes through (5, 2).
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Rewrite each expression by completing the square.a. z^2 − 5z + 8b. x^2 + 0.6x + 1

Help!! Math question ASAP!!!!

Answers

Hello,

Answer B

Is y=(5,t) a solution of -5x+y=-40
==>-5*5+t=-40
==>t=-40+15
==>t=-15

Now change the t to y (all is done to make you not to find the answer)
y=-15.

A music festival charges $54.95 per ticket sold on the day of the event. A ticket purchases before the festival costs only $39.95. They were 20,000 tickets sold for a total of 925,000. How many tickets did they sell at the music festival? How many tickets do they sell before the music festival?

Answers

b=number of ticets sold before
a=number of tickets sold after

cost of a ticket=number of tickets times cost per ticket
beforecost=39.95b
aftercost=54.95a

total cost=925000
39.95b+54.95a=925000

total number tickets=20000
b+a=20000

we have

39.95b+54.95a=925000
b+a=20000
multiply second equation by -39.95 and add to first equatin
39.95b+54.95a=925000
-39.95b-39.95a=-799000 +
0b+15a=126000

15a=126000
divide bot sides by 15
a=8400

sub back
b+a=20000
b+8400=20000
minus 8400 both sides
b=11600




11,600 tickets sold before
8400 tickets sold after

What's 1/b^2÷a/b^2 simplified?

Answers

so we have( (1)/(b^(2)) )/( (a)/(b^(2)) )


multiply by ( (b^(2))/(a) )/( (b^(2))/(a) ) to make bottom number 1
( (b^(2))/(ab^(2)) )/( (ab^(2))/(ab^(2)) )=( (b^(2))/(ab^(2)) )/(1)=(b^(2))/(ab^(2)) = (1)/(a)
Use this formula to solve your question:

(a)/(b) / (c)/(d) = (a)/(b) * (d)/(c) =(ad)/(bc)

(1)/(b^2) / (a)/(b^2) = (1)/(b^2) * (b^2)/(a) = (b^2)/(b^2 * a) =\boxed{\bf{(1)/(a)}}

Your final answer is 1/a.

the sum of two numbers is 9. if one number is subtracted from the other, the result is 3. find the numbers

Answers

x, y - the numbers

The sum of the two numbers is 9.
x+y=9

If one number is subtracted from the other, the result is 3.
x-y=3

Solve the system of equations:
x+y=9 \n\underline{x-y=3} \nx+x=9+3 \n2x=12 \ \ \ |/ 2 \nx=6 \n \nx+y=9 \n6+y=9 \ \ \ |-6 \ny=3

The numbers are 6 and 3.
Let's say x to the first number and y to the second one.
We add them : x+y=9
Then we substract them : x-y=3
Now we add the equations: 

(x+y)+(x-y)=9+3\n x+x+y-y=12\n 2x=12\n \n x=\frac { 12 }{ 2 } \n \n x=6

and finally rewrite the equation:

6+y=9\n y=9-6\n y=3\n \n x=6\quad and\quad y=3

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Answers

each side should be 32ft because if you do 32 times 2^2 it equals 128 and 128/4=32 so 32 per side

A driveway is 90 feet long, 15 feet wide, and 4 feet deep. How many cubic feet of concrete will be required to fill the driveway?Group of answer choices

546 ft

2555 ft

5,400 ft

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Answers

To find the volume of the driveway, we need to multiply its length, width, and depth.

The length of the driveway is 90 feet, the width is 15 feet, and the depth is 4 feet.

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Volume = 90 ft x 15 ft x 4 ft

Volume = 5400 cubic feet

Therefore, 5400 cubic feet of concrete will be required to fill the driveway.

Hence, the correct answer is 5400 ft³.
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