Which statements are true about triangle XYZ? Select three options.
XY measures units.
YZ measures units.
ZX measures units.
XYZ is a right triangle.
XYZ is a scalene triangle.
Answers
First, second and fourth options are true about triangle XYZ.
XY measures [tex]\sqrt{26}[/tex] units.
YZ measures [tex]\sqrt{52}[/tex] units.
ZX measures [tex]\sqrt{26}[/tex] units.
XYZ is a right triangle.
What is right triangle?A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.
Given X (-1, 5), Y (4, 4), Z (-2, 0)
Distance between two points D = [tex]\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1}) ^{2}}[/tex]
|XY| = [tex]\sqrt{(4-5)^{2} +(4+1)^{2} } =\sqrt{1^{2}+5^{2} } =\sqrt{26}[/tex]
|YZ| = [tex]\sqrt{(0-4)^{2} +(-2-4)^{2} } =\sqrt{4^{2}+6^{2} } =\sqrt{52}[/tex]
|XZ| = [tex]\sqrt{(0-5)^{2} +(-2+1)^{2} } =\sqrt{5^{2}+1^{2} } =\sqrt{26}[/tex]
[tex]|XY|^{2} +|XZ|^{2} =|YZ|^{2}[/tex]
So, XYZ is a right triangle.
So, the first, second and fourth options are correct.
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Answer: a and d
Step-by-step explanation:
edge
Related Questions
Which value is equivalent to the expression 45?
Answers
Answer:
what value are you talking about
Step-by-step explanation:
Answer:
It's 1024
Step-by-step explanation:
Sports Plus has a sale on all
baseball cleats for 25% off. If a
pair of cleats is priced at $74.00,
what is the price after the
discount?
Answers
Answer:
$55.5
Step-by-step explanation:
divide 74 by 100 to find out how much 1% of the shoe is and multiply that number by 25 and you will get 18.5 , then subtract 18.5 from 74 and you get $55.5!Hope this helps :)
15 people are expected for a dinner. Three ounces of corn serves one person. A can of corn is nine ounces. How many cans of corn should be bought for the dinner?
Answers
Answer:
there should be 5 cans of corn! hope This Helps
Step-by-step explanation:
Answer:
The answer is 5
Step-by-step explanation: You have to multiply the amount of people by the servings a person gets (15*3), you then divide that by the amount of ounces a can has (45/9) the result is 5.
$2,500 is invested in an account earning 8.4% interest compounded annually. How many years did it take to reach $4,000?
Answers
Answer:
3 years
Step-by-step explanation:
what is 24=78^2 what is it
Answers
Answer:
24 = 6084
Step-by-step explanation:
24 is already simpflied. So 78 times 78 is left.
Which is easy and equals to 6084.
Harold cut 18 and a half
inches off a rope that was 60 inches long. How is the length of the remaining rope in inches written in decimal form?
Answers
The length of the remaining rope is 41.5 inches.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Harold cut 18 and a half inches off a rope that was 60 inches long.
Let the remaining length of the rope be x.
This can be written as,
⇒ [tex]x=60-18.5[/tex]
⇒ [tex]x=41.5[/tex]
Hence we can conclude that the length of the remaining rope is 41.5 inches.
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2y – 12x = -14 please help
Answers
That’s the answer
The area of rectangle is 35 square feet.the length of rectangle is 5feet what is the width of the rectangle
Answers
Answer:
the answer should be 7
Step-by-step explanation:
Factor the expression using GCF of 4+22
Answers
Answer:
the answer would be 2(2+11)
Step-by-step explanation:
Quinn is baking cookies for the bake sale at her school using her grandmother recipe. She uses 12.5 cups of flour to make 5 dozen cookies.
Find the constant of proportionality
Answers
Because 12.5 divided by 5 is equal to 2.5
for every dozen she makes she will use 2.5 cups of flour
11) Solve the multiplication equation. Check your answer.
39 = 13y what does y equal?
Answers
Answer:
y = 3
Step-by-step explanation:
39 = 13y
y = 3 (explanation: by dividing 13)
Check answer:
39 = 13(3)
39 = 39
Answer:
y = 3
Step-by-step explanation:
39 = 13y
Divide each side by 13
39/13 = 13y/13
3 = y
Check
39 = 13*3
39 = 39
Our solution checks
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to this system of inequalities in the coordinate plane.
3y > 2x + 12
2x + y < -5
Please respond asap
Answers
Answer:
Hope this helps
Step-by-step explanation:
In how many zeros does 75! end?
Answers
Answer: 0
Step-by-step explanation: 0 because 75 doesn't have a 0
Which graph shows y=2⌈x⌉−3?
Answers
Answer: C
Step-by-step explanation:
Tickets for all of the described charity raffle games cost $2 per ticket .identify the games in which a person who buys a ticket for each game every day for the next 400 days could expect to lose less than a total of $200
Answers
Answer:
Step-by-step explanation: this is for plato users!
Which of these graphs represents a function?
A)
A
B)
B
C)
С
D)
D
Answers
Solution: C represents a function
what percent of 18 is 24? Side info: the answer is not 75% or 133%!!!
Answers
Answer:
133 1/3 %
Step-by-step explanation:
24/18 = 4/3
4/3 * 100 = 133 1/3 %
Missed that 1/3
Answer:
133.33%Step-by-step explanation:
24 is x% of 18, solving for x:
x = 24/18*100% = 133.33%Predict the shape of the molecule.
2-
S
:0:
A. linear
B. trigonal planar
C. tetrahedral
D. bent
Answers
Answer:c
Step-by-step explanation:
what is the quotient of 5 and 5 and 2 more
Answers
Answer:
12
Step-by-step explanation:
i am not sure a just add 5 +5+2
ASAP ASAP 30 POINTS
A ratio table shows ratios that are....
A)equivalent
B)subtracted
C)unequal
Answers
Answer:
A ) equivalent
Step-by-step explanation:
<333 .! :)
Answer:
I agree with the answer equivalent because I am also doing the assignment
Have a great day!
Suppose the sample space for a continuous random variable is 0 to 8. If the area under the density curve for the variable from 0 to 5 is 0.625, what is the area under the density curve from 5 to 8?
Answers
========================================================
Explanation:
The portion from x = 0 to x = 5 has area 0.625, so 62.5% of the total area is accounted for. The remaining 100% - 62.5% = 37.5% of the total area must be in the remaining portion from x = 5 to x = 8. Convert 37.5% to decimal form to get the answer 0.375
-----------------
Another approach
We have two disjoint areas under a curve. The two areas must add to 1. Let A be the unknown area
So,
0.625+A = 1
A = 1-0.625
A = 0.375
The area under the curve from x = 5 to x = 8 is 0.375
someone help me out please
Answers
Answer:
The answer would be B :)
Step-by-step explanation:
explanation: the line of symmetry is NOT equal to zero.
mark me brainliest! :)
Peggy and her mom have been living alone in an island ever since Peggy was born. To keep track of how old her daughter is, every day after Peggy was born, her mom carves a tick mark into a tree.
One day, Peggy's mom counted 2000 tick marks on the tree. How many years old is Peggy, rounded off to the nearest year? Remember that a year has 365 days.
Answers
Answer:
5 years
Step-by-step explanation:
Divide 365 by 2000. The answer is 5.4794. Rounded to the nearest whole it is 5.
Answer:
5 years
Step-by-step explanation:
What we know:
- 2000 days passed (since each tick mark represents a day)
- One year has 365 days
Let [tex]x[/tex] represent the number of years that passed.
If each year has 365 days, 365 multiplied by the number of years that passed should equal 2000.
[tex]365x=2000[/tex]
Divide both sides by 365 to isolate x
[tex]\frac{365x}{365} =\frac{2000}{365}[/tex]
[tex]x[/tex] ≈ [tex]5[/tex]
Therefore, Peggy is 5 years old.
I hope this helps!
Find the slope and the coordinates of the points of intersections of the following lines with coordinate axes y= -1/4x+2
Answers
Step-by-step explanation:
y = -0.25x + 2
The slope is the coefficient of x, which is -0.25.
y-intercept is the constant term, which is 2.
When y = 0, -0.25x + 2 = 0, -0.25x = -2, x = 8.
=> x-intercept = 8.
Keenan found a basketball on
sale for 15% off. If it cost
$39.99, what was the sale
price?
Answers
Answer:
$34
Step-by-step explanation:
Take 15% and multiply by $39.99
.15 x 39.99 = 5.99 (or, 6 rounded up)
Then, subtract that from the original price. $39.99 - 5.99 = $34
A bicyclist is in the exact middle of a straight trail that has endpoints at coordinates (11, 2) and (13, 5)on a map. Each unit of the grid is equal to 1 mile. What are the coordinates of the bicyclist on the map? *
6.5, 9)
(12, 3.5)
(13, 18)
(24, 7)
Answers
We have to find the midpoint. So we do,
11+13=24 /2 = 12
2+5=7 /2 = 3.5
So the bicyclist is at (12, 3.5) on the map.
I’ve attached a picture of another example and the formula we use. Hope this helps!
What is the value of the expression below 64 5/6
Answers
Answer:
[tex]64\dfrac{5}{6}=\dfrac{389}{6}[/tex]
Step-by-step explanation:
We need to find the value of the expression :
[tex]64\dfrac{5}{6}[/tex]
It is in the form of a mixed fraction. We can simplify it as follows :
[tex]64\dfrac{5}{6}=\dfrac{64\times 6+5}{6}\\\\=\dfrac{389}{6}[/tex]
Hence, the value of the given expression is [tex]\dfrac{389}{6}[/tex].
Answer:
32
Step-by-step explanation:
In the figure to the right, AE+DC= 1 1/5 m, AB=1 3/4 cm, DE=1 1/4 cm, and BC =1 3/10 cm. Find the perimeter of the figure.
Answers
9514 1404 393
Answer:
5 1/2 cm
Step-by-step explanation:
The perimeter is the sum of the given lengths (in cm):
P = (1 1/5) +(1 3/4) +(1 1/4) +(1 3/10)
= (1 + 1 + 1 + 1) +(2/10 + 3/4 + 1/4 +3/10)
= 4 + 1 5/10
= 5 1/2
The perimeter of the figure is 5 1/2 cm.
Express 0.2 as a fraction.
Answers
Answer:
1/5
Step-by-step explanation:
0.2 = 2/10
2/10 = 1/5
Answer:
0.2 = 1/5
Step-by-step explanation:
0.2
=
0.2 × 10
=
2/10
=
2 ÷ 2
10 ÷ 2
=
1/5
pweese help!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
D
Step-by-step explanation: