In addition to the information given below in the drawing, which statement is sufficient to prove triangle STW similar to triangle XYZ?
Answers
XZ : YZ = 5:8
3 * XY = 27 (9*3 = 27)
3*XZ : 3*YZ = 3*5 : 3*8
SW : TW = 15 : 24
SW = 15 and TW = 24
The additional information which needed to prove triangle STW similar to triangle XYZ are SW = 15 and TW = 24
What are similar triangles?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.
Given that, two triangles STW and XYZ, ST = 27, XY = 9, YZ = 8 and XZ = 5
We need to select a statement which will complete the proof of Δ STW ~ Δ XYZ
We know that, Similar triangles have the same corresponding angle measures and proportional side lengths.
If we consider Δ STW ~ Δ XYZ,then we get,
ST / XY = TW / YZ = SW / XZ = 3
Therefore,
SW / XZ = 3
SW / 5 = 3
SW = 15
Also,
TW / YZ = 3
TW / 8 = 3
TW = 24
Hence, the additional information which needed to prove triangle STW similar to triangle XYZ are SW = 15 and TW = 24
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Related Questions
use 3.14 for and round answers to the nearest tenth the diameter of the circle is 30
Answers
3.14 stays the same cuz 1 is in the tenths slot
and i think the answer is right
Step-by-step explanation:
Please help explain how to do this I will give brainliest!!
Answers
Answer:
30 feet for each sloped beam
Step-by-step explanation: if you tak
the 8 away from the bord that is holding up the sloped beams it leaves you with 60 feet all together for both beams added up
I need help i don't understand
Answers
Answer:
50%
Step-by-step explanation:
50% aaaaaa.................
would it make more sense to buy two 10 inch pizzas or one 20 inch pizza? Explain your answer in detail.
Answers
Hope this helps! :)
Answer:
one 20 inch pizza
Step-by-step explanation:
radius of one 10 inch pizza is 10/2 = 5
so area of one 10 inch pizza : [tex]\pi[/tex]× [tex]5^{2}[/tex] = 25 [tex]\pi[/tex]
there are 2 ; 10 inch pizza so 25 [tex]\pi[/tex]⇒[tex]50\pi[/tex]
however 20 inch pizza radius is 10
so
[tex]10^{2}[/tex]×[tex]\pi[/tex] = 100[tex]\pi[/tex]
plz answer 30 points logs
Answers
Answer:
1.2
Step-by-step explanation:
Answer:
It will be 1.2
Step-by-step explanation:
Hope this Helped
Philip has 35 comic books 2/10 take place in space how many of Phillips comic books take place in space
Answers
Answer:
7
Step-by-step explanation:
35/10=3.5
3.5 x 2 =7
4. Which property of operations is used to write 15x + 9 as 9 + 15x?
Answers
Solution: The commutative property of addition states that when two numbers are being added, their order can be changed without affecting the sum.
What is the value of f if 9f+11=3f+23
Answers
Answer:
f=2
Step-by-step explanation:
9f+11
If f is two, 9f = 18.
11+18= 29
3f +23
If F is two, then 3f = 6.
6+23=29.
Well, look there- both answers are equal so F equals 2
F=2
Find the slope of the line that passes through the points. (-3, 5) and (1, 8).
Answers
Answer:
3/4
Step-by-step explanation:
To find slope, the equation is y(2)-y(1)/x(2)-x(1). So, your equation would look like: 8-5/1-(-3), which equals 3/4. Therefore, 3/4 is your answer.
(hope this helps :P)
Hi. I need help with this question :
Question : y is such that
[tex]4y - 7 \leqslant 3y[/tex] and
[tex]3y \leqslant 5y + 8[/tex]:
I). What range of values satisfies both inequalities ?
II). Hence, express
[tex]4y - 7 \leqslant 3y \leqslant 5y + 8[/tex]
in the form of
[tex]a \leqslant y \leqslant b[/tex]
where a and b are both integers.
Please show workings.
Answers
Answer:
-4≤y≤7
Step-by-step explanation:
4y-3y≤7
y≤7
and
3y-5y≤8
-2y≤8
y≥-4
so, -4≤y≤7
9514 1404 393
Answer:
-4 ≤ y ≤ 7
Step-by-step explanation:
Solve the inequalities separately, then identify the intersection of the solution sets.
4y -7 ≤ 3y
y -7 ≤ 0 . . . . . . . subtract 3y
y ≤ 7 . . . . . . . . . add 7
3y ≤ 5y +8
0 ≤ 2y +8 . . . . . . subtract 3y
-8 ≤ 2y . . . . . . . . . subtract 8
-4 ≤ y . . . . . . . . . . divide by 2
The intersection of the sets y ≤ 7 and -4 ≤ y is given by ...
-4 ≤ y ≤ 7
help me plz for 20 points
Answers
Answer:
i believe DEC is 70 degrees
Two numbers have a difference of 13. The sum of twice one number and 3 times the other number is 1. Write a system of equations and solve the system to find the two numbers. You need not show 7 steps for this problem. Just show the system, solve the system, and write the two numbers.
Answers
Answer:
first number = 8
second number = -5
Step-by-step explanation:
Let
x = first number
y = second number
Two numbers have a difference of 13.
x - y = 13
The sum of twice one number and 3 times the other number is 1
2x + 3y = 1
x - y = 13 (1)
2x + 3y = 1. (2)
From (1)
x = 13 + y
Substitute into (2)
2x + 3y = 1.
2(13 + y) + 3y = 1
26 + 2y + 3y = 1
26 + 5y = 1
5y = 1 - 26
5y = -25
y = -25/5
y = -5
Substitute y = -5 into (1)
x - y = 13
x - (-5) = 13
x + 5 = 13
x = 13 - 5
x = 8
The obtained number is 12. And the system of equations is 2c + 4p = 40
How to solve system of equations ?Although each chicken has two legs and each pig has four legs, the total number of animal legs is:
2c + 4p = 40
Once we simplify the above equation, we get
c + 2p = 20
We also know that there are 16 animal heads in total, which can be expressed as:
c + p = 16
We can solve for "c" that use these two equations.
Once we multiply the second equation by 2, we get:
2c + 2p = 32
Once we subtract this equation from that, we get:
2p = 8
Once we solve for "p," we get:
p = 4
Substituting this "p" value into the second equation yields:
c + 4 = 16
Once we solve for "c," we get:
c = 12
As an outcome, your parents hold 12 chickens.
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A man is 38 years old and his daughter is 14 years old. How
many years will it be before the man's age is just twice that of
his daughter?
ver:
years
Answers
Answer:
Step-by-step explanation
x+38=2(x+14)
The man is 38 and daughter is 14. They both will age in same years (x).
So, in how many years(x) will they both age until man is equal(=) to 2 times his daughters age?
x+ 38=2(x+14)
x+38=2x+ 28
10= x
In 10 years, the man will be 2twice as old as his daughter.
The function f(x) = 350 - 125x represents how
many miles f(x) the helicopter is from its destination
after x hours.
a. f(1) = 225, interpret this value in terms of context.
Answers
Answer:
The helicopter is 225 miles from its destination and will reach the destination in 1 hr.
Step-by-step explanation:
7-x=-2
find the variable
Answers
Answer:
Step-by-step explanation:
7-x=-2
-x=-2-7
-x=-9
x=9
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 15, 30,60,... Find the 6th term.
Answers
Answer: 120, 240, 480
Step-by-step explanation:
It would appear that the numbers are increasing in multiples of 2.
15 * 2 = 30
30 * 2 = 60
The next 3 terms will therefore be:
60 * 2 = 120
120 * 2 = 240
240 * 2 = 480
Answer:
480
Step-by-step explanation:
Please help ASAP!!!!!
Answers
Answer:
54
Step-by-step explanation:
i am not 100 percent sure
Which table matches the equation y=5x+2
A.
X -3, 2, 7
Y -1, 0, 1
B.
X 0, 1, -1
Y -2, -3, 7
C.
X -2, -1, 0
Y 10, -5, 0
D.
X -1, 0, 1
Y -3, 2, 7
Answers
Geometry pls help me
Answers
Answer: 180
Step-by-step explanation:
When added together, Interior angles of a triangle are always equal to 180 degrees.
Answer:
∠FHG=120°
Step-by-step explanation:
first you calculate the angles of the triangle NGH
this is isoceles triangle, so there's 2 equal angles
and as shown, the 2 same angles are having 2 lines in each one, this 2 lines represents that the 2 angles are same
so both are 20°
any triangle has a sum of 180° of interior angles
so 180-(H+G)=the angle below N
180-(20+20)=140°
the angle below N is same as N because they're vertically opposite
140 is an exterior angle
and the exterior angle is equal to the 2 far angles
140=40+∠FHN
140-40=100°
so ∠FHN=100°
∠FHN+∠NHG=∠FHG
100+20=120°
so ∠FHG=120°
Carter has a fruit stand. In the morning, he has 25 1/2 pounds of peaches. He sells bags of peaches that each weigh 1 1/2 pounds. He will restock when he has less than 3 pounds of peaches left. Which solution represents how many bas of peaches, b, Carter will sell before he restocks?
Answers
Answer:
Carter will sell 17 bags of peaches before he restocks.
Step-by-step explanation:
Total pounds of peaches Carter have = [tex]25\frac{1}{2} = \frac{51}{2} = 25.5[/tex]
Weight of each bag = [tex]1\frac{1}{2} = \frac{3}{2} = 1.5[/tex] pound
Number of bag made = [tex]\frac{25.5}{1.5}[/tex] = 17
The number is fully divided , it means no of peaches left = 0 < 3
So,
Carter will sell 17 bags of peaches before he restocks.
The number of bas of peaches, b, Carter will sell before he restocks is 17.
Calculation of the number of peaches:Since he has 25 1/2 pounds of peaches. He sells bags of peaches that each weigh 1 1/2 pounds. He will restock when he has less than 3 pounds of peaches left.
So here
[tex]= 25.5 \div 1.5[/tex]
= 17
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simplify -4x + 2y + z - 3x + 2y - 2z
Answers
Answer:
-7x+4y-z
Step-by-step explanation:
You will have to combine like terms.
-4x+2y+z-3x+2y-2z
-7x+2y+z+2y-2z
-7x+2y+z+2y-2z
-7x+4y+z-2z
-7x+4y+z-2z
-7x+4y-z
and the answer is:
-7x+4y-z
I hope this helps you. :)
Answer:
-7x + 4y - z
Step-by-step explanation:
-4x + 2y + z - 3x + 2y - 2z
so combine like terms, -4x by -3x2y by 2y z by -2z=(-4x + -3x) + (2y + 2y) + (z + -2z) equals= -7x + 4y - zjust answer number 5 pls
Answers
Step-by-step explanation:
hope that helps . the process is shown in the above picture.
A roller coaster accelerated from rest to 55 m/s by the time it reached the first hill. The roller coaster took 15 seconds to climb to the top of the hill. What was the acceleration of the coaster?
Answers
Answer:
I believe the acceleration is 3.66666666667 m/s
Step-by-step explanation:
Acceleration formula: a = vf - vi / t
Initial velocity: 0 (I believe it was 0, as it wasn't moving in the beginning)
Final velocity: 55 m/s
Time: 15 s
Substituting values: 3.66666666667 = 55 - 0 / 15
The cost of 7 scarves is $78.75. What is the unit price?
Answers
Evaluate the following expression: 8x - 6 - 7y + 3 use x=3 and y=6
Answers
Answer:
-27
Step-by-step explanation:
8x - 6 - 7y + 3
X = 3 Y = 6
8(3) - 6 - 7(6) + 3
8 x 3 = 24
7 x 6 = 42
24 - 6 - (42 + 3)
(24 - 6) - 45
18 - 45 = -27
For the function f(x) = -3(x-1) find f(o).
Answers
Answer:
f(0) = 3
Step-by-step explanation:
To evaluate f(0), substitute x = 0 into f(x) , that is
f(0) = - 3(0 - 1) = - 3 × - 1 = 3
What is the yyy-intercept of y=5y=5y, equals, 5
Answers
Using the slope-intercept form, the y-intercept is 5 5 . b=5
Step-by-step explanation:
wikipedia
Answer:
0,5
Step-by-step explanation:
:) Hope you guys have a good day!
Which of the following is a central angle?
A
LEGD
B
LEAD
ZCOB
D
LCDA
Answers
19. Explain the difference
between (-12)^2 and - 12^2.
Answers
ayuda please es mi examen
Answers
Answer: B. 10
Step-by-step explanation: Hope this help :D