Triangle ABC is a scale drawing of Triangle XYZ, as shown.
Based on the information shown in these triangles, which of the following is a true statement?
A) The length of side XZ is 11.5.
B) The length of side XZ is 28.
C) The measure of angle A is equal to the measure of angle Z.
D) The measure of angle A is not equal to any of the angle measures of Triangle XYZ.
Answers
Answer: B the side length of XZ is 28
Step-by-step explanation:
to find the scale factor, one of the methods is to divide the side length of one triangle by the same side length of the other triangle.
for example with this problem, the length of XY is 42 while side length AB is 12. 42/12 is 3.5. we know that the side length that corresponds with XZ is 8 so multiply it by 3.5 to get the answer of 28.
Answer:
B
Step-by-step explanation:
Since we know that triangle XYZ is a scale model of ABC then if we find the amount XYZ is bigger then ABC then we can find the answer. Line CB is the corresponding line to ZY and ZY is 3.5x greater then CB. Apply the same logic to AC and we get 8*3.5=ZX 8*3.5=28 so ZX=28.
Related Questions
The radius of a cylinder is (3x-2cm). The height of the cylinder is (x+3cm).
What is the surface area of the cylinder?
Use the formula A=2\pi r^(2)+2\pi rh.
Answers
Answer:
[tex](24\pi x^2-10\pi x-4\pi)[/tex] square centimeters
Explanation:
Let
[tex]r=\text{radius of the cylinder}=3x-2 < br/ >[/tex]
[tex]h=\text{height of the cylinder}=x+3[/tex]
Then the surface area of the cylinder is given by
[tex]A=2\pi r^2+2\pi rh[/tex]
[tex]=2\pi r(r+h)[/tex]
[tex]=2\pi (3x-2)((3x-2)+(x+3))[/tex]
[tex]=2\pi (3x-2)(4x+1)[/tex]
[tex]=2\pi(12x^2-5x-2)[/tex]
[tex]\boxed{A=(24\pi x^2-10\pi x-4\pi )cm^2}[/tex]
i need to know the area
Answers
Answer:
Step-by-step explanation:
You would do base times height so 11x11=121 then you divide it by 2 which equals 60.5.
2
B +2bh
B=11
H=18
121+2x11x18=517
Twelve students have an equally likely chance of being selected in a drawing at school. Eight are 7th graders and four are 8th graders.
1) What is the probability that an 8th grader will be selected?
2) If TWO students are being chosen for the drawing, what is the probability that BOTH students are 8th graders?
Answers
I’m not entirely sure about the second one but I’m sure someone else will be :)
Bryan randomly asked several students which type of animal they had at home as a pet. The results are in the pie chart below.
a. What percent of the students had dogs?
b. What percent of the students had birds?
c. How many total students did Bryan interview?
Answers
Answer:
60% of the students have dogs
10% of the students have birds
Bryan interviewed 200 students
Step-by-step explanation:
a.3/5 = 60%
b.60% + 30% = 90%
100% - 90% = 10%
c. 20 x 10 = 200
Answer: 60%, 10%, 200 students.
Step-by-step explanation:
Let's start with turning all of the values into percentages.
3/5 of the students said dogs. As a percentage, 3/5 is equal to 60%.
We now have two percentages, the amount of cats and the amount of dogs. 30%+60%=90%. So that leaves 10%, and that 10 percent is the 20 students who had birds.
If 20=10%, all we have to do is multiply 20 ten times to get to 100%. 20x10=200.
There were 200 students interviewed.
The Perseverance Mars rover uses a special coring bit to drill out a rock cylinder 13 mm in diameter. As the rover drills, the rock core moves into one of 38 sample tubes. If the coring bit collects a rock cylinder 60 mm in length, what is the volume of the rock in the sample tube?
Answers
Answer:
234
Step-by-step explanation:
Answer:
209.58mm(Rounded)
Step-by-step explanation:
V=[tex]\pi[/tex]r^2h
=[tex]\pi[/tex](6.5)^2(60)
=7963.94/38
=209.58mm
i need help i dont understand the exponets
Answers
Answer: the small number shows how many numbers their should be so small number 7 then big number 5 would mean 5 5 5 5 5 5 5
Step-by-step explanation:
read the question then answer ones with a ★ beside it .
bryce has a board that is 8[tex]\frac{5}{16}[/tex] feet long .
He cuts off 2[tex]\frac{3}{8}[/tex]
feet to use for a project . what is the length of the board that is left ?
★ . what is the original length of the board ?
★ . what is the length that was cut off ?
★ . write and solve an equation .
★ . the length of the board that is left is ?
Answers
Answer:
The original length of the board is 8 feet.
The length that was cut off is 2 feet.
One possible equation we can use is: x = 8 - 2, where x represents the length of the board that is left. Solving for x, we get x = 6 feet.
The length of the board that is left is 6 feet.
Step-by-step explanation:
We are given that the board was originally 8 feet long. Bryce cuts off 2 feet from the board to use for a project. Therefore, the length of the board that is left is 8 - 2 = 6 feet.
To solve this problem algebraically, we can set up an equation where x represents the length of the board that is left. We know that the original length of the board is 8 feet, and 2 feet was cut off, so we can write:
x = 8 - 2
Simplifying this equation gives us:
x = 6
Therefore, the length of the board that is left is 6 feet.
The amount of a medicine, in milliliters, that a veterinarian prescribes is proportional to the weight, in kilograms, of a dog as shown on the graph.
What is the unit rate in milliliters per kilogram?
Enter your answer as a decimal in the box.
___ mL/kg
(graph in picture below) + brainliest/50 points
Answers
PLS ANSWER BELOWWW i am begging you
Answers
Answer:
123
Step-by-step explanation:
the two triangles are equiangular.
VZ/ZY = VW/WX
13.5/27.5 = VW/36
VW= 16.5*36/27.5 = 21.6
WZ/XY= 3/5
WZ:XY= 3:5
Pythagoras THEROM
44^2 + XY^2= 57.6^2
XY= 37.17
THE PREMETER = 22.3+37.17+36+27.5=123
Pls help 50pts and brainliest
Answers
Answer:a^2 + b^2 = c^2
50 POINTS PLS HELP AND BRAINLIEST
Answers
Answer:
No
Step-by-step explanation:
Quarters Pennies
B1: 6. + 5=11
B2: 6. + 5=11
B3: 6. + 5=11
B1+B2 = 22
B1+B2+B3 = 33
So no
i dont think this deserves brainliest
jenna wants to wrap a shipping box shaped like a rectangular prism. The box is 22 inches tall and has a square base with sides that each measure 5 inches. How much paper will she use?
Answers
Answer: 420
Step-by-step explanation:
A cylindrical of oatmeal canister has a diameter of 4 inches and a height of 10 inches. The manufacturing company wants to package the oatmeal in square containers to cut back on wasted storage space. If the new carton has a square base with 4 inch sides, what is the minimum height it must have, to the nearest 1/4 inch, to hold the same volume of oatmeal? Use 3.14 for the value of π.
Answers
Step-by-step explanation:
Volume of cylinder = pi r^2 h
Volume of square container = s x s x h
they need to be equal
pi r^2 h = s^2 h
pi (2)^2 * 10 = 4^2 h (diameter = 4 then radius = 2)
40pi / 16 = h = 7.9 in = ~ 8 in to the nearest 1/4 inch
Drag each expression to show whether it is equivalent to 9(t + 3), 9t + 3, or neither.
Answers
Answer:
Step-by-step explanation:
9t + 3
3(3t + 1)
(3 * 3t) + (3 * 1)
4t + 3 + 5t
9(t + 3)
(9 * t) + (9 * 3)
9t + 27
Neither
(9 + t) + (9 + 3)
Answer: hope this helps ♡
9t + 3:
3(3t + 1) & (3 × 3t) + (3 × 1) & 4t + 3 + 5t
9(t + 3):
(9 × t) + (9× 3) & 9t + 27
Neither:
(9 + t) + (9 + 3)
I NEED THIS RIGHT THIS MOMENT
Answers
Which of the following equations are equations of direct variation? Choose all that apply.
(
A
)
(
A
)
x
=
−
2
y
x
=
-
2
y
(
B
)
(
B
)
x
+
2
y
=
12
x
+
2
y
=
12
(
C
)
(
C
)
3
x
−
2
y
=
0
3
x
-
2
y
=
0
(
D
)
(
D
)
5
x
2
+
y
=
0
5
x
2
+
y
=
0
(
E
)
(
E
)
y
=
0.3
x
+
1.6
y
=
0.3
x
+
1.6
(
F
)
(
F
)
y
−
2
=
x
y
-
2
=
x
Solution
Find
F
F
using the constant of variation formula
x
=
k
y
x
=
k
y
.
x
=
−
16
23
Answer all of these questions.
1) A survey of 4,000 Americans found that 28% did not vote in the local election.
Population:
Sample:
2) The average points scored by every third member of the basketball team is 13.6.
Population:
Sample:
3) A study found that 55% of college graduates took out student loans to pay for college.
Population:
Sample:
4) In a Washington Post poll, 72% of readers indicated they were happy with the economy.
Population:
Sample:
Answers
Answer:
Population: All Americans eligible to vote in the local election
Sample: 4,000 Americans who were surveyed
Population: All members of the basketball team
Sample: Every third member of the basketball team
Population: All college graduates
Sample: The group of college graduates studied in the study
Population: All readers of the Washington Post
Sample: The group of readers who responded to the poll
Answer: Population: All Americans eligible to vote in the local election
Sample: 4,000 Americans who were surveyed
Population: All members of the basketball team
Sample: Every third member of the basketball team
Population: All college graduates
Sample: The group of college graduates studied in the study
Population: All readers of the Washington Post
Sample: The group of readers who responded to the poll
Step-by-step explanation: That's gotta be it
Needed by 2:00pm Thx
Answers
Answer:
1017 cm³
Step-by-step explanation:
To find the volume of this figure we will first need to divide it into 2 sections. First, we will find the volume of the semicircle on top then the cone at the bottom!
1) Semicircle
The simplest way of doing this is to find the volume as if it was a circle and then divide that result by 2! ([tex]\frac{4}{3}[/tex]πr³)
[tex]\frac{4}{3}[/tex] × 3.14 × 6³ = 904.32904.32 ÷ 2 = 452.162) Cone
To find the volume of the cone we need to apply the equation πr²[tex]\frac{h}{3}[/tex] (where h = height)
3.14 × 6² × [tex]\frac{15}{3}[/tex] = 565.23) Add
452.16 + 565.2 = 1017.361017 rounding to the nearest whole number!Hope this helps, have a lovely day! :)
your welcome
ASAP HELP! Which angles are pairs of corresponding angles? Check all that apply.
4 lines intersect to form 16 angles. Clockwise from top left, the angles are 1, 2, 3, 4; 5, 6, 7, 9; 9, 10, 11, 12; 13, 14, 15, 16.
Angle1 and Angle3
Angle2 and Angle14
Angle1 and Angle6
Angle3 and Angle7
Angle8 and Angle9
Angle5 and Angle12
Answers
Answer:
angle 2 and angle 14 angle 3 and angle 7Step-by-step explanation:
Assuming angles are numbered clockwise at each intersection before moving to the next intersection, corresponding angles will differ in their numbers by a factor of 4.
Among the offered choices, the differences of angle numbers are ...
2, 12, 5, 4, 1, 7
Of those pairs listed, angles 2 and 14, and angles 3 and 7 are corresponding angles.
Can someone pls help!!
Answers
MULTI CHOICE Q
look in picture
Answers
Answer:
D
Step-by-step explanation:
The two legs ( shorter sides) have the right angle between them in a right triangle and
5^2 + 9^2 DOES equal 13^2
side with a right angle between them. The 13 cm side will fit to form a right triangle.
HELP ASAPPP >>>
(PLS ANSWER THE QUESTION IN THE PICTURE BELOWW) TYYY
+ brainliest
Answers
Answer:
Not proportional
Step-by-step explanation:
The table is not proportional because y doesn't vary directly with x, aka., not in a y=kx relationship.
Answer:
It is not proportional
Step-by-step explanation:
The table is not proportional because they are not in a y=kx relationship.
hope this helps :)
The expression 9.00x+4.50y represents the total amount of money Harriet earns at her two jobs, where x represents the number of hours worked at job X and y represents the number of hours worked at job Y. Which shows an equivalent expression to the given expression and correctly describes the situation?
4.50(2x+y), which shows that Harriet earns twice as much per hour at job X than job Y.
4.50(2x+y), which shows that Harriet earns 4.50 times as much per hour at job X than job Y.
13.50xy, which shows that Harriet earns $13.50 each hour she works.
13.50xy, which shows that Harriet earns $13.50 every two hours she works.
Answers
13.50xy, which shows that Harriet earns $13.50 for each hour she works.
This expression represents the total amount of money Harriet earns at both jobs, where x represents the number of hours worked at job X and y represents the number of hours worked at job Y. The coefficient of xy, which is 13.50, represents the amount of money Harriet earns per hour, regardless of which job she is working. Therefore, this expression accurately reflects the situation described
At the 2022 Winter Olympics, one country won a total of 150 medals. A circle graph of the medals is shown.
a circle graph titled 2022 Winter Olympic Medals, with three sections labeled gold 20 percent, silver 30 percent, and bronze 50 percent
How many silver and bronze medals were won?
Answers
Answer:80
Step-by-step explanation:
50 + 30 = 80
The two triangles below are similar. Use scale factor to find x
How to write solution: X = __ cm
Answers
The following table shows several ordered pairs of a function, m(x)
x m(x)
-1 -1.5
1 1.5
2 3
4 6
Graph m(x) on a coordinate plane to determine whether or not the function represents a direct variation. In complete sentences, describe your conclusion and reasoning. Include your graph in your answer.
Answers
Answer:
m(x) = 1.5x . . . . direct variation
Step-by-step explanation:
You want to know if the function m(x) represents direct variation, given a table of values.
Direct variationAn equation for direct variation is ...
y = kx
where k is a constant that can be found as the ratio of any (x, y) pair:
k = y/x
k = -1.5/-1 = 1.5/1 = 3/2 = 6/4 = 1.5
The ratios are constant, hence m(x) is direct variation with a constant of variation of 1.5.
GraphThe graph of direct variation is a straight line through the origin. The given points lie on such a line.
help me and thank you
Answers
Answer:
A rectangle is a parallelogram.
Step-by-step explanation:
A parallelogram is a shape with 4 sides. A rectangle has 4 sides and is therefore a parallelogram. It also has two sets of parallel lines which a rectangle does share with a parallelogram.
fill in the blanks i need help
Answers
★ hope this helps you !
step 1 ⋆ multiply 4 by 5 and multiply 4 by 3x
step 2 ⋆ subtract the products
( i ' m not 100 % sure this is correct bc i don ' t know the equation : ( because you didn ' t show it . . . so it may be wrong , sorry ! )
Answer:
X = 8
Explanation:
First you have to multiply 4 · 5 and also multiply 4 · 3x
Then you subtract the products
Hope this helps :)
Do you notice any points on the graphs that are an extreme value? What does this tell you?
Answers
How do similar triangles make it easier to measure very tall objects.
Fake answers will be reported
Pls make the answer simple and understandable
Answers
The legs of similar triangles are used to set a proportion of heights and shadows of the tall objects in order to find the value of unknown measure.
guys pls help and do it like 1a: _________ for all the questions thanks
Answers
Answer:
no
Step-by-step explanation: