A student inscribes a triangle within a semicircle. What is the measure of ∠XYZ?
Answers
Answer:
The correct answer is option A. 90°
Step-by-step explanation:
Points to remember
Measure of angles on the semicircle is 90°
From the figure we can see a semicircle and a triangle inscribes on it.
To find the measure of <XYZ
Here <XYZ is on the semicircle that is angle XYZ is a right angle.
Therefore m<XYZ = 90°
The correct answer is option A. 90°
Answer:
Step-by-step explanation:
Any triangle inscribed in a semicircle has one right angle. Here it's <XYZ.
Related Questions
For every 10 yards on a football field, there is a boldly marked line labeled with the amount of yards. Each of those lines is perpendicular to both sidelines. What can be said about the relationship of the sidelines? Justify your answer. a. The sidelines are perpendicular to each other by the definition of the Transitive Property. b. The sidelines are parallel by the Same-Side Interior Angles Theorem. c. The sidelines are perpendicular by the Perpendicular Transversal Theorem d. The sidelines are parallel because they are perpendicular to the same line.
If p is the smallest of four consecutive even integers what is their sum interms of p.
Two rectangles are similar. One has a length of 12 cm and a width of 9 cm, and the other has a width of 8 cm. Find the length of the second rectangle. Round to the nearest tenth if necessary.
There are only blue yellow and green cubes is a bag. There are three times as many blue cubes as yellow cubes. There are five times as many green cubes as blue cubes. I take out a random cube from the bag, what is the probability that I take out a yellow cube?
Answers
Answer:
11.41= 6x=2.11
x=1.35
Step-by-step explanation:
B false
C cannot be determined
Answers
Because the negation makes it opposite of what is was.
A. x + 7y = 320
y = 7x
B. x + y = 7
y = 320x
C. x + y = 320
y = 7x
D. x−y=320
y = 7x
2. Nancy bought 360 tropical fish for a museum display. She bought 8 times as many goldfish as angelfish.
How many of each type of fish did she buy?
A. 40 angelfish, 320 goldfish
B. 160 angelfish, 200 goldfish
C. 20 angelfish, 160 goldfish
D. 320 angelfish, 40 goldfish
3. Michael and Kathryn bowl together and their combined total score for one game was 425 points. Michael’s score was 70 less than twice Kathryn’s. What were their scores?
Which is a system of equations to model the problem if x represents Kathryn’s score and y represents Michael’s score?
A. x + y = 70
y = 2x – 425
B. x + y = 425
y = 2x – 70
C. x – y = 425
y = 2x – 70
D. x + y = 425
y = 2x + 70
4. Michael and Kathryn bowl together and their combined total score for one game was 425 points. Michael’s score was 70 less than twice Kathryn’s.
What were their scores?
A. Kathryn: 260, Michael: 165
B. Kathryn: 150, Michael: 275
C. Kathryn: 275, Michael: 150
D. Kathryn: 165, Michael: 260
5. A collection of nickels and dimes is worth $6.10. There are 67 coins in all.
How many nickels are there?
A. 12
B. 18
C. 49
D. 55
Answers
Answer:
D
Step-by-step explanation:
If im wrong, please correct me in the comments.
Answer:
5. D, Let d represent the number of dimes and n represent the number of nickel. We have been given that a collection of coins has 67 coins in all. This means that total number of nickels and dimes is 67. We can represent this information in an equation as:
Since we know that a dime is worth $0.10, so d dimes will be worth 0.10d.
A nickel is worth $0.05, so n nickels will be worth 0.05n. We are also told that the collection is worth $6.10. We can represent this information in an equation as:
We will use substitution method to solve system of linear equations. From equation (1) we will get, upon substituting in equation (2) we will get, Let us divide both sides of our equation by .
14 POINTS!
CAN'T YOU HELP ME THE BEAUTIFUL GIRL???!!!
Answers
Answer:
Step-by-step explanation:
Given: Kristen made 4 out of 5 throws in her first basketball game, 5 out of 8 in her second game and 5 out of 7 free throws in her third game.
To Find: The experimental probability of Kristen marking her first free throw in her fourth game.
Solution:
There are only two possibilities that the first throw will be free or not.
Hence, the total outcomes = 2
Hence, Probability that the throw is free =
Hence, 1/2 is the experimental probability of Kristen marking her first free throw in her fourth game.
Answers
After addressing the issue at hand, we can state that As a result, the equation value of x is roughly 10.57 units (rounded to two decimal places).
What is equation?
An equation is a mathematical proclamation that proves the equality of two expressions capable of connecting through an equal sign '='. For instance, 2x - 5 = 13. Explanations include 2x-5 and 13. The '=' symbol links up the two expressions. A mathematical formula containing two formulas on either side of a =) (=) is known as an equation. It depicts the equivalence relationship between left and right methodologies. L.H.S. = R.H.S. (left edge = top half) in any formula.
Using the information provided, we can construct the following equation based on the concept of similar triangles:
x/(9+18) = 10/(BC) (BC)
9 + 18 = 27 = AB = AP + PB
Because triangle ABC is a right triangle (angle B is 90 degrees), we can apply the Pythagorean theorem to calculate the length of segment BC:
BC2 = AB2 - AC2 BC2 = 272 - 102 BC2 = 649 BC = sqrt (649)
When we plug this value into our original equation, we get:
x/(9+18) = 10/sqrt (649)
When we simplify, we get:
x/27 = 10/sqrt (649)
When we multiply both sides by 27, we get:
x = 270/sqrt (649)
As a result, the value of x is roughly 10.57 units (rounded to two decimal places).
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Answers
=3(5x²+x-4)
=3(x²+x-20)
=3(x+5)(x-4)
=3(5x+5)(5x-4)
=3(x+1)(5x-4)