MATHEMATICS HIGH SCHOOL

Line RS is tangent to circle Q at point R.What is the measure of ∠SQR ?

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Answers

Answer 1

Answer:

Using the tangent and radius theorem, the measure of ∠SQR is 58°.

What is Circle Geometry??

From the question, we are to determine the measure of ∠SQR

In the given diagram, QR is a radius

By the tangent and radius theorem,

If a tangent and a radius meet at the point of tangency, then they are perpendicular to one another

∴ ∠QRS = 90°

∠SQR + ∠RSQ + ∠QRS = 180° (Sum of angles in a triangle)

∠SQR + 32° + 90° = 180°

∠SQR + 122° = 180°

∠SQR = 180° - 122°

∠SQR = 58°

Hence, the measure of ∠SQR is 58°.

Learn more on Circle geometry here: brainly.com/question/21872415

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Answer 2

Answer: If the line RS is tangent to the circle, then it is at a 90 degree angle to the circle at the point of contact.

Now that we know 2 angles, we can find the 3rd:

180 - 90 - 32 = 58

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If four times a certain number, increased by 6 is equal to 94, what is the number?If x represents the number, then which of the following equations could be used to solve the problem?

4x + 6 = 94
4(x + 6) = 94
x + 6 = 4(94)

Answers

"4x + 6 = 94" is the equation among the following choices given in the question that could be used to solve the problem. The correct option among all the options that are given in the question is the first option. I hope that this is the answer that you were looking for and it has actually come to your help.

Answer:

Step-by-step explanation: its the first answer cause i did this a bit ago

so i remember

The plans for a rectangular deck call for the width to be 4 feet less than the length. Sam wants the deck to have an overall perimeter of 52 feet. What should the length of the deck be?

Answers

The length of the deck will be equal to 15 feet.

What is a rectangle?

A quadrilateral with four right angles is a rectangle. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal.

Since rectangles have two pairs of equal-length sides, for any rectangle with length L and width W,

its perimeter is always 2L + 2W (or 2(L + w), whichever you prefer). Here, we're told that the width is 4 feet less than the length.

Symbolically, we'd say that W = L - 4. This allows us to write the perimeter entirely in terms of length if we replace our W with the expression on the right side:

2L + 2W = 2l + 2(L - 4) = 2L +2L - 8 = 4L - 8

This expression to come out to 52, the equality 4L - 8 = 52 and solve for L to find what the length has to be:

Adding 8 to either side, the equality becomes 4L = 60. Diving either side by 4 gives us L = 15, which tells us that the length of the deck should be 15 feet.

Therefore, the length of the deck will be equal to 15 feet.

To know more about rectangles follow

brainly.com/question/25292087

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Since rectangles have two pairs of equal-length sides, for any rectangle with length L and width W, its perimeter is always 2L + 2W (or 2(L + w), whichever you prefer). Here, we're told that the width is 4 feet less than the length. Symbolically, we'd say that W = L - 4. This allows us to write the perimeter entirely in terms of length if we replace our W with the expression on the right side:

2L + 2W = 2l + 2(L - 4) = 2L +2L - 8 = 4L - 8

Sam wants this expression to come out to 52, so we can set up the equality 4L - 8 = 52 and solve for L to find what the length has to be:

Adding 8 to either side, the equality becomes 4L = 60. Diving either side by 4 gives us L = 15, which tells us that the length of the deck should be 15 feet.

A pencil at a stationery store costs $1, and a pen costs $1.50. Stella spent $21 at the store. She bought a total of 18 items. Which system of equations can be used to find the number of pencils (x) and pens (y) she bought? x + 18y = 21 x = 1.5y 18x + y = 21 x = 1.5y x + 1.5y = 21 x + y = 18 1.5x + y = 21 x = 18y

Answers

Let x represent represent the amount of pencils that Stella bought, and y represent that number of pens that Stella bought.

We know that Stella bought 18 items total, meaning that the number of pencils and pens must equal 18 or :

x + y = 18

Additionally, we know that she spent $21, and that each pencil costs $1, and that each pen costs $1.50. Therefore,

1x + 1.5y = 21

So, the system of equations that can be used to find the number of pencils (x) and the pens (y) she bought would be:

x + 1.5y = 21
and
x + y = 18

x+1.5y=21 because you're finding the equation you would use to find the number of pencils and pens she bought.
Each pencil is $1 so that'd be 1x. When writing an equation, you don't write 1x, you just write x because that's all you have, 1 x. It's understood.
Each pen is $1.50 so that would be 1.5y.
x pencils+1.5y pens =21 dollars spent.

Which second degree polynomial function has a leading coefficient of –1 and root 4 with multiplicity 2f(x) = x3 – x2 – 4x + 4
f(x) = x4 – 3x2 – 4
f(x) = x4 + 3x2 – 4
f(x) = x3 + x2 – 4x – 4

Answers

Hello,

ANSWER B (x^4-3x²-4) [roots are i,-i,2,-2]

Your answer is f(x) = x4 – 3x2 – 4

Hope this helps.

Axis of symmetry and vertex of F (x) = x2 + 4x -5

Answers

axis of symmetry is also the x coordinate of the vertex
if you have
f(x)=ax^2+bx+c
vertex x coordinate is
-b/2a
a=1
b=4
-4/2(1)=-4/2=-2
x coordinate of vertex=-2 aka axis of symmmetry
find y coordinate
input -2 for x
y=(-2)^2+4(-2)-5
y=4-8-5
y=-9

axis of symmetry is x=-2
vertex is (-2,-9)

r= -b/2a = -4/2=-2 k=f(r)=-2^2-8-5=-9 (-2,-9)

A local hamburger shop sold a combined total of 688 hamburgers and cheeseburgers on Thursday. There were 62 fewer cheeseburgers sold than hamburgers How many hamburgers were sold on Thursday?