MATHEMATICS MIDDLE SCHOOL

Circle X is shown. Line segment X Y is a radius. Line segment Y Z is a tangent that intersects the circle at point Y. A line is drawn from point Z to point X and goes through a point on the circle. The length of the line segment from point X to the point on the circle is 8, and the length of the line segment from the point on the circle to point Z is 9.What must be the length of ZY in order for ZY to be tangent to circle X at point Y?

14 units
15 units
16 units
17 units

Answers

Answer 1
Answer:

By applying Pythagorean' theorem, the length of ZY to be tangent to circle X is equal to: B. 15 units.

How to determine the length of ZY?

Since line ZY is tangent at point Y and the radius of a circle is always perpendicular to tangents, we can deduce the following points:

  • Line segment XY is perpendicular line segment ZY.
  • Triangle XYZ is a right-angled triangle.

Thus, the length of XZ is given by:

XZ = 8 + 9

XZ = 17 units.

Next, we would apply Pythagorean' theorem to find the required length of ZY:

XZ² = ZY² + XX²

17² = ZY² + 8²

ZY² = 289 - 64

ZY = √225

ZY = 15 units.

Read more on Pythagorean theorem here: brainly.com/question/23200848

#SPJ9
Answer 2
Answer:

Answer:

i believe it is 15

Step-by-step explanation:

Circle X is shown. Line segment X Y is a radius. Line segment Y Z is a tangent that intersects the circle at point Y. A line is drawn from point Z to point X and goes through a point on the circle. The length of the line segment from point X to the point on the circle is 8, and the length of the line segment from the point on the circle to point Z is 9.

What must be the length of ZY in order for ZY to be tangent to circle X at point Y?

14 units

15 units    should be 15 units

16 units      NOT

17 units

Related Questions

If the sphere shown above has a radius of 4 units, then what is the approximate volume of the sphere? A. 334.93 cubic unitsB. 21.33 cubic units C. 100.48 cubic unitsD. 267.95 cubic units
graces monthly sales totaled $1000. she earns $2000 plus 9% of her sales. what is her total paycheck for this month?
What is 14.36 rounded to the nearest tenth?
Help please my brain hurts
I have 4 sides and 4 vertices,what am I

Tonya took out a loan to help pay for her house. She borrowed $60,000 for 15 years at a yearly simple interest rate of 5%. How much interest will she end up paying the bank?A.
$9,000
B.
$450
C.
$45,000
D.
$450,000

Answers

I believe your answer is C). because 5% of 60,000 is 3,000, then 3,000 x 15 = 45,000.

800 is 10 times as much as

Answers

It's 10x8 which equals80
It's really simple. 800 is 10x of 80.  

800/10 = 80

Enter the value of p so the expression 5/6-1/3n is equivalent to p(5-2n)? Please show your steps, I am really lost

Answers

P needs to be something that is multiplied through 5-2n to equal 5/6-1/3n.  Since you see that there is a 5 of somesort in both equations an easy place to start is simply making p=1/6.  Once you do that then 5*1/6=5/6 so the first part is okay. Then 2n*1/6=2n/6 which is able to be reduced to n/3.
Based on this it is clear that p should equal 1/6.

Describe how to model 2-digit by 2-digit multiplication using an area model ANSWER NOW FOR 20 POINTS

Answers

Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Properties of Multiplication and Division and Problem Solving with Units of 2–5 and 10. Multiplication and Division with Units of 0, 1, 6–9, and Multiples of 10Multi-Digit Whole Number and Decimal Fraction Operations.

Answer:

The steps are shown below:

Step-by-step explanation:

We can draw the area model for 2-digit by 2-digit multiplication by using the following steps:

Step 1: First write the multiplicands in expanded form.

For example: 26 as 20 and 6, and 36 as 30 and 6.

Step 2: Now, Draw a 2 × 2 grid, and write the terms of one of the multiplicands on the top of the grid. One on the top of each cell.

Step 3: Write the terms of the other multiplicand on the left of grid.

Step 4: Write the product of ones and tens in respective cell.

For example: 26×36

         20        6

30|    600    180

6 |    120      36

Now add them: 600+180+120+36=936

Help me figure this out.

Answers

Let me help you,
For this question, you should know that 2 2/4 is equal to 10/4.
So we know that 10/4 is 10 times 1/4.
If Julie has 1/4-cup measuring cup, then she should use her cup 10 times to get 2 2/4 cups of raisins.
Have a good one! 

467.127 to the nearest 100

Answers

PLEASE MARK BRAINLIEST!

Answer:

Let's find out!

Step-by-step explanation:

There are 2 ways:

To the nearest hundrED,your answer is 500.00, because 467 rounds up to 500.

To the nearest hundrEDTH, your answer is 467.13 because 0.127 rounds up to 0.13

I hope this helps!

- sincerelynini
Other Questions
callie loves flowers. She picks 4 tulips for every daisy she picks. Callie's mom also gave her 6 tulips this week from her garden.How many tulips will callie have this week if she picks 3 daisies
at the bake sale the students earned $48.76. If there were 3 students, how much did each student earn?
regina purchased 1.75 pounds of turkey breast from her local deli for $5.99 per pound. to the nearest cent, how much did she spend?
18 × (-2) ÷ 5 = (Enter answer in decimal form.)