According to the diagram below, which similarity statements are true?
Check all that apply.
P
S
R
A. APQR - APRS
B. APQR ~ APSQ
O C. APQR ~ AQSR
D. APQS ~ AQRS
Answers
The required triangle PQS and triangle QRS are similar triangles. Option D is correct.
What are Similar triangles?Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.
According to the diagram,
It can be inferred that triangle PQS and triangle QRS are similar to each other. The term "similar" implies that these two triangles have the same shape but can be different in size. Specifically, the corresponding angles of these triangles are equal, and the corresponding sides are in proportion.
Consider triangle, PQS, and triangle QRS
Angle S is the common angle in both the triangles
And angle Q is similar to angle R
So both the triangle are similar by AA similarity postulate
Therefore, option D is correct.
Learn more about triangle similarities here:
https://brainly.com/question/14926756
#SPJ5
Related Questions
Plzz help!!!!!!!!!!!!!!!!!
Answers
Answer:
so far i got A and C
Step-by-step explanation:
if its incorrect im sorry
3x = 4x - 12 हे समीकरण सामान्य रूपात लिहा
Answers
Answer:
x=12
Step-by-step explanation:
Here,
3x =4x - 12
12= 4x - 3x
12= x
The average grade Jared received on 4 tests was 94. If he drops his lowest test grade of 85, what will his new average be?
A.72.75
B.76
C.89.5
D.97
Pls help TT
Answers
Answer:
total points on the 4 tests- 94x4= 376
376- 85= 291
291/3= D. 97
Answer:
D. 97
Step-by-step explanation:
x = sum of 4 test grades Jared received
[tex]\frac{x}{4} = 94[/tex]
x = 376
If he drops lowest test grade of 85, then subtract 85 from Jared's sum of all test grades:
x - 85 --> 376 - 85
= 291
Now that one of his test grades are not considered, this means there are only 3 test grades to consider.
291 must be divided by 3 to get the average:
[tex]\frac{291}{3}[/tex] = 97
The answer is D) 97
A triangle has sides with lengths 8, 15, and 17.
Approximate the acute angles in this triangle.
Answers
Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the acute angle of the given triangle is 28.07 degrees.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
A triangle has sides with lengths 8, 15, and 17.
By Pythagoras theorem, we have
H² = P² + B²
17² = 8² + 15²
289 = 64 + 225
289 = 289
The dimension of the triangle satisfies the Pythagoras theorem. Hence the triangle is a right-angle triangle.
Then the acute angle will be
[tex]\rm \theta =Sin ^{-1} \dfrac{8}{17}\\\\\theta = 28.07^o[/tex]
Thus, the acute angle of the given triangle is 28.07 degrees.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
Find the solution to the following system using substitution or elimination:
y = 3x + 2
y=-2x - 8
A. (-2,-4)
O B. (-ş; – 34)
O C. (-9,-)
D. (1, -6)
Answers
Answer:
A. (-2,-4)
x = -2,
y = -4
thats the only way ik how to explain but its the correct answer
Please answer, im in a hurry
Answers
Answer:
Q(4,-8) —> Q'(4,6)
R(6,-8) —> R'(6,6)
S(6,-1) —> S'(6,-1)
T(4,-1) —> T'(4,-1)
Hope this helps!
solve the equation -2|5w-7|+9=-7
Answers
Answer:
w = 3, w = -⅕
Step-by-step explanation:
See attached image
Your firm has net income of $329 on total sales of $1,340. Costs are $740 and depreciation is $130. The tax rate is 30 percent. The firm does not have interest expenses. What is the operating cash flow?
Answers
Answer:
Net operating cash flow= $459
Step-by-step explanation:
Giving the following information:
Your firm has net income of $329 on total sales of $1,340. Costs are $740 and depreciation is $130. The tax rate is 30 percent. T
To calculate the operating cash flow, we need to use the following structure:
Sales= 1,340
Costs= (740)
Gross income= 600
Depreciation= (130)
EBIT= 470
Tax= (470*0.3)= (141)
Depreciation= 130
Net operating cash flow= $459
find the value of given expression
[tex]0 \times \sqrt{5} [/tex]
Answers
Answer and Step-by-step explanation:
The answer to this expression is 0.
This is because 0 times any number is 0.
#teamtrees #PAW (Plant And Water)
Answer:
0 because anything times 0 equals 0
Step-by-step explanation:
pls I need help please :D its math and you'll get 30 points
Its a picture
Answers
Answer:
5,750
Step-by-step explanation:
if he has 10 of each then you can multiply each bag by 10 and then multiply the amount of bags to the amount the coin is worth
Find cuberoot of 27000*(-42875)
Answers
ANSWER:
35
DID YOU COPY MY ANSWER THAT IS CORRECT
Step-by-step explanation:
125=5*5*527=3*3*33√125=53√125*27= 3√5*5*5*3*3*35*315-1286250MEASUREMENT Write an expression in simplest form for the perimeter of each figure.
Answers
Answer:
I think it's 10...
Step-by-step explanation:
I'm sorry if I'm wrong. let me know if I am and if it's right please give brainliest I'm trying to rank up. ❤️
Factor Trinomials:
1) 2x^2 + 14x + 20
2) 8x^2 + 64x +128
(Please show work)
I give out brainliest
Answers
Answer:
1. [tex]2(x+2)(x+5)[/tex]
2. [tex]8(x+4)^{2}[/tex]
Step-by-step explanation:
Problem #1:
1. Find the GCF (Greatest Common Factor)
[tex]GCF = 2[/tex]
2. Factor out the GCF and simplify.
[tex]2(x^{2} +7x+10)[/tex]
3. Factor [tex]x^{2} +7x+10[/tex]
Which two numbers add up to 7 and multiply to 10?
2 and 5
Rewrite the expression using the above.
[tex](x+2)(x+5)[/tex]
4. Done!
[tex]2(x+2)(x+5)[/tex]
Problem #2:
1. Find the GCF (Greatest Common Factor)
[tex]GCF=8[/tex]
2. Factor out the GCF and simplify.
[tex]8(x^{2} +8x+16)[/tex]
3. Use the perfect square formula. [tex]a^{2} +2ab+b^{2} =(a+b)^{2}[/tex]
[tex]a = x\\b=4[/tex]
[tex](x+4)^{2}[/tex]
4. Done!
[tex]8(x+4)^{2}[/tex]
3 divided by 12 in percentages and fractions
Answers
Answer: fraction: 1/4 decimal: .25 percentage: 25%
Step-by-step explanation:
Answer:
3 is 1/4 of 12 so there is ur fraction and that is 25.00%
Step-by-step explanation:
EXIT TICKET
Ahmad constructed the composition of dilations shown. Figure 2 is 1/2 the
size of Figure 1, and Figure 3 is 2/3 the size of Figure 2.
What is the scale factor from Figure 1 to Figure 3?
Circle the best choice: What is the center of dilation that maps Figure 1 to Figure 3?
Point A
Point B
Point C
Point D
Answers
Answer:
Step-by-step explanation:
Point A
Which expression shows 56x+40y-48z written as a product of the greatest common factor and one other factor
Answers
Answer:
Step-by-step explanation:
You have not provided the choices.
Factor each term into powers of primes and variables:
56x = 2³·7x
40y = 2³·5y
48z = 2⁴·3z
Greatest common factor = 2³ = 8
56x + 40y - 48z = 8(7x + 5y - 6z)
Help please I will be marking brainliest!!!
A. 46.1
B. 50.1
C. 76
D. 54.2
Show work, if possible. Thanks❤️
Answers
Answer:
76 I think
Step-by-step explanation:
The regular price of a video game is $59.,95. This week it is on sale for 15% off. What does the game cost this week (before taxes)
Answers
Answer: $50.96
Step-by-step explanation:
The regular price of a video game is $59.95 and we are told that this week it is on sale for 15% off.
The game cost this week before taxes will be:
= 59.95 - (15% × 59.95)
= 59.95 - (0.15 × 59.95)
= 59.95 - 8.9925
= $50.9575
= $50.96
The amount this week is $50.96
if it takes you one hour and thirty minutes to drive 87 miles, find your average speed
Answers
Answer:
How to calculate average speed. Speed is distance divided by time. Simply put, if you drove 60 kilometres for one hour, it would look like this: Speed = distance (60 km) / time (1 hour) = 60km/h.
first to answer please be correct asap !!! giving brainleist and 10 pts.
Answers
Answer:
The third one
Step-by-step explanation:
someone please help me I’m going to cry
Answers
Welp ig ur gonna cry bc i SUCK at math xx
1) If Susie puts her pennies in piles of 4 she has 2 pennies left over. If she puts h
pennies in piles of 5 she has 3 pennies left over. What is the least amount of
pennies Susie can have?
Answers
Answer:
The least ammount of pennies would be 18 I belive.
Step-by-step explanation:
write an equation in slope intercept form for the line passing through (2, 6) with a slope of -3
Answers
Answer:
y=-3x+12
Step-by-step explanation:
y-y1=m(x-x1)
y-6=-3(x-2)
y-6=-3x+6
y=-3x+6+6
y=-3x+12
You told your friend that you could eat 5/8 of a large pizza. If you only ate 1/2 of what you said you could eat, what fraction of a large pizza did you eat?
Answers
Answer:
5/16
Step-by-step explanation:
Given that:
Fraction of claim = 5/8
Amount actually eaten = 1/2 of claim
Amount actually eaten = 1/2 * 5/8 = 5/16
Fraction of large pizza actually eaten is 5 /16
Hence, he ate, 5/16 of large pizza
Answer:
Step-by-step explanation:
5/6
A triangular-shaped sign has a base of 15 ft, and a height of 8 ft. What is the area of the sign?
Answers
Answer:
60ft²
Step-by-step explanation:
Area of a triangle = 1/2×base×height
=1/2×15×8
=60
10. Sonia paid $ 19.55 for 3.4 pounds of salmon. What is the price per pound of the salmon?
Answers
5.75
You divide 19.55 by 3.4
Which gives you exactly 5.75
HELP ASAP PLSSS 10 POINTS
Answers
Answer:
true both
Step-by-step explanation:
i did math
Answer:
False
True
Step-by-step explanation:
because comparing one side it's 2:5
Weight Lifting A weight lifter puts an
X-pound weight on each side of a bar.
A weight 5 pounds heavier than the first is
then added to both sides. Finally, a weight
5 pounds heavier than the second weight
is added to both sides. The expression
2[x + (x + 5) + (x + 2(5))]models the
total weight lifted. Simplify the expression.
What would the expression be if each added
weight was 10 pounds heavier than the
previous weight?
Answers
Answer:
Expression: 6x + 30
Step-by-step explanation:
2[x + (x + 5) + (x + 2(5))]
2[2x + 5 + x + 10]
2(3x + 15)
6x + 30
The second question's terminology is too ambiguous for me to answer, apologies.
The length of a shadow of a building is 30 m. The distance from the top of the building to the tip of the shadow is 36 m.
Find the height of the building. If necessary, round your answer to the nearest tenth.
Answers
Answer:
the answer is 19.89
Step-by-step explanation:
round it
Are these two lines parallel, perpendicular or neither