MATHEMATICS HIGH SCHOOL

Pablo folds a straw into a triangle with side lengths of 4x2 – 3 inches, 4x2 – 2 inches, and 4x2 – 1 inches. The perimeter of the triangle is 12x2 – 6 inches. If x = 1.5, what was the length of the straw before it was folded?___ inches

Answers

Answer 1

Answer: perimiter=legntho f straw=12x^2-6

if x=1.5 inches
12(1.5)^2-6=legnth
12(2.25)-6=
27-6=
21

legnth is 21 inches

Answer 2

Answer:

Answer:

Step-by-step explanation:

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Question 1 Coach Johnson is 10 years older than Tim. When Tim started football 3 years ago, Coach Johnson was twice his age. How old is Tim now? Numerical Answers Expected! Answer for Blank 1: Question 2 Maya and Sally were the two finalists in a singing competition. The person with the most votes from the audience was chosen as the winner. Sally received 25% of the total votes and lost by 62,500 votes. No person in the audience was allowed to vote more than once. The equation below represents this situation, where y is the total number of votes cast and x is the number of votes Maya received. x - 62,500 = 0.25y If a total of 125,000 people voted, how many votes did Maya receive? Numerical Answers Expected!
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Quadrilateral ABCD is inscribed in a circle. m A is 64°, m B is (6x + 4)°, and m C is (9x - 1)°. What is m D?A. 64°
B. 82°
C. 90°
D. 98°
E. 116°

Answers

Answer: Choice D) 98 degrees

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Explanation:

The quadrilateral is inscribed in the circle which means every corner point (A,B,C,D) is on the circle. No part of the quadrilateral is outside the circle.

One property of inscribed quadrilaterals is that the opposite angles add to 180 degrees. So,
A+C = 180
B+D = 180

We know that
A = 64
B = 6x+4
C = 9x-1

Let's use angles A and C to find x
A+C = 180
64+9x-1= 180
9x+63 = 180
9x+63-63 = 180-63
9x = 117
9x/9 = 117/9
x = 13

Which helps us find angle B
B = 6x+4
B = 6*13+4
B = 78+4
B = 82 degrees

Then we can finally find angle D
B+D = 180
82+D = 180
82+D-82 = 180-82
D = 98 degrees

Answer:

choiced c 98

Step-by-step explanation:

A^2 – a – 20 factor completely

Answers

Factoring this out will be: (a-5) (a+4)

Suppose JK bisects angle LJM. The measure of angle LJK = (-10x + 3) and the measure of KJM = (-x + 21)º. Find the measure of angle LJM.

Answers

LJK = KJM -10x +3 = -x + 21 -10x + x = 21 - 3 -9x = 18 x = -2 KJM = -x + 21 = 2 + 21 = 23 LJM = LJK + KJM LJM = 23 + 23 LJM = 46º..

i think thats how its done

Introduction to addition or subtraction of fractions with different denominator 3/5+1/3

Answers

You must find the same denominator by finding the closest common factor of both.
In this case it would be 15 because both 5 and 3 go into 15.
You then have to multiply the numerator by the number you multiplied to get the denominator.
So you multiply
Nevermind just look at the pic.

What are the vertex, focus, and directrix of the parabola with the given equation?12y = x^2 –6x + 45 (1 point)

Answers

Answer:

Vertex is (3,3)

Focus (3,6)

Directrix y=0

Step-by-step explanation:

We are given that an equation of parabola

$12y=x^2-6x+45$

Subtract 45 on bot sides then we get

$12y-45=x^2-6x$

To make complete square on right side

We add 9 on both sides

$12y-45+9=x^2-6y+9$

$12y-36=(x-3)^2$ ( $(a-b)^2=a^2+b^2-2ab,(x-3)^2=x^2-6x+9)$

$12(y-3)=(x-3)^2$

Compare it with the equation of parabola along y- axis

$(x-h)^2=4p(y-k)$

Then, we get h=3,k= $3$

$4p=12$

$p=(12)/(4)=3$

Vertex of parabola =(h,k)=(3,3)

Focus of parabola=(x,p+k)=(3,3+3)=(3,6)

Equation of directrix of parabola ,y=k-p=3-3=0

y=(((x^2)-(6*x)+45)/12)

An angle of size 124 degrees has been rotated d degrees around a center 0 what is the size of the rotated angle?

Answers

Answer:

124

Step-by-step explanation: Hope it helps

Final answer:

No matter how much the angle is rotated around the center, the size of the angle remains the same. Therefore, even after the rotation, the size of the angle is still 124 degrees.

Explanation:

When an angle is rotated around a center, the size of the angle doesn't change.

It's an important characteristic of angle rotation. So, if an angle of 124 degrees is rotated d degrees around a center, the size of the rotated angle will still remain 124 degrees. It is just in its new position after rotation. Regardless of the rotation of the angle, its size or measure remains the same as the rotation does not affect the measure of the angle.

Learn more about Angle Rotation here:

brainly.com/question/31439078

#SPJ3

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