Triangle TUV is similar to triangle XYZ. Which of the following statements is true?
Answers
Answer:
Option B. The slope of VT is equal to the slope of ZX
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
step 1
Find the slope VT
we have
V(-7,-3),T(-4,0)
substitute in the formula
step 2
Find the slope ZX
we have
Z(0,4),X(6,10)
substitute in the formula
therefore
The slope of VT is equal to the slope of ZX
Answer:
The slope of VT is equal to the slope of ZX.
Step-by-step explanation:
Two triangles are similar if the slopes of corresponding sides are equal.
In triangle TUV, TU is vertical, so the slope is undefined. The side UV is horizontal, so the slope is zero.
Determine the slope of the VT using the slope formula. Point V is at (-7, -3), and point T is at (-4, 0).
slope=y^2-y1/x^2-x1
=0-(-3)/-4-(-7)
=3/3
=1
In triangle XYZ, XY is vertical, so the slope is undefined. The side YZ is horizontal, so the slope is zero.
Determine the slope of the ZX using the slope formula. Point Z is at (0, 4), and point X is at (6, 10).
slope=y^2-y1/x^2-x1
=10-4/6-0
=6/6
=1
Compare the slopes of corresponding sides of the two triangles.
Sides TU and XY have undefined slopes.
Sides UV and YZ have zero slopes.
Sides VT and ZX have slopes of 1.
Therefore, the following statement is true.
The slope of VT is equal to the slope of ZX.
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Step-by-step explanation:
Answers
Answer:
24
Step-by-step explanation:
Final answer:
To find the number of books Jessica has, we can set up the equation x + 2x = 36, where x represents the number of books Andrew has. Solving the equation, we find that Andrew has 12 books, and Jessica has 24 books.
Explanation:
To find the number of books Jessica has, let's assign a variable to Andrew's books. Let's say Andrew has x books. According to the problem, Jessica has twice as many books as Andrew, so she has 2x books. Together, they have 36 books, so we can set up the equation: x + 2x = 36. Combining like terms, we get 3x = 36. Dividing both sides of the equation by 3, we find that x = 12. Therefore, Andrew has 12 books, and Jessica has 2 * 12 = 24 books.
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Answers
Answer:
12 dozens of donuts
Step-by-step explanation:
First, you want to change the decimal into a fraction. The decimal, 4.25, is the same as 4 25/100. You can reduce 4 25/100 to 4 1/4 by diving both the numerator and denomiator by 25. Now that both of our numbers are fractins, we can just add the fractions up. 7 3/4 + 4 1/4 = 11 4/4 = 12\
Jerry got 12 dozens of donuts.
Answer:
12 dozen
Step-by-step explanation:
- Relatively easy stuff, just recall fractions
- A dozen means 12
- he has 7 dozen (7 x 12=84) and 3/4 dozen (3/4 x 12=9) so that's 84+9= 93 donuts
- he gets 4.25, which is the same as 4 1/4, so its 4 dozen (4 x 12=48) and 1/4 dozen (1/4 x 12=3) so that's 48+3= 51 donuts
- Add what you got 93 + 51 = 144 donuts
- Then divide this by 12 to get the number of dozens
- 144/12 = 12 dozen