The congruency proof that can be used to show that ∠P≅∠R is as given in the steps below.
How to prove Triangle Congruence?
From the figure as seen online, we can see that;
The figure shows the same triangles PQS and RQS as in the beginning of the task. Angles SPQ and SRQ are highlighted in red.
Thus, the 2 column proof to show that ∠P≅∠R is;
Statement 1; ∠SPQ≅∠SRQ
Reason 1; Given
Statement 2; SQ bisects ∠PSR
Reason 2; Given
Statement 3; ∠PSQ≅∠QSR
Reason 3; Definition of angle bisector
Statement 4; SQ ≅ SQ
Reason 4; Reflexive Property of Congruence
Statement 5; △PQS≅△RQS
Reason 5; Angle - Angle Side (AAS) Congruency Postulate
Statement 6; PS ≅ SR
Reason 6; CPCTC (Corresponding parts of congruent triangles are congruent)
Read more about Triangle Congruence at; https://brainly.com/question/7727792
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Are the triangles congruent? If so, name the postulate or theorem that
justifies your statement.
Given: AE || BD, AE =BD,
LED
Conclusion: AEB – ABDC
Answer:
ASA
Step-by-step explanation:
another possible pair is ∠A and ∠B
so it makes it ASA
x varies directly with
y. If x = 60 when
y = 75. find x when
y = 32.
Answer:
x=17
Step-by-step explanation:
Answer:
25.6
Step-by-step explanation:
find constant of variation ('k'):
y = kx
75 = 60k
k = 75/60 or 5/4
32 = 5/4x
cross-multiply:
5x = 128
x = 25.6
Which of the following best describes the equation below?
y = 8x + 9
A.
both linear and nonlinear
B.
neither linear nor nonlinear
O
C.
linear
D.
nonlinear
Answer:
C
Step-by-step explanation:
Use distributive property to rewrite each algebraic expression: 8(s + 5)
Answer:
8s + 40
Step-by-step explanation:
8*s = 8s
8*s = 40
8s + 40
Answer: The correct answer is 8s+40
Step-by-step explanation: If it's correct can i get brainliest..... hopes this helps.
find the value for x and y (no decimals
Answer:
x=6
y=3r3
Step-by-step explanation:
[tex]\frac{x}{sin90} =\frac{x}{sin60} =\frac{3}{sin3}\\x=6\\y=3\sqrt{3}=3r3[/tex]
Question 2 (1 point)
Use the vertical line test to determine whether the relation is a function.
{(3,0), (2,-1). (-1,4). (1,-2)
}
Answer:
The relation is a function.
Solve for x: 16^2x + 1 = 128
38
83
4
43
Answer:
[tex]16^{2x}[/tex]+1=128
x=4
What is the domain of the function graphed below?
Answer:
Positive infinite to negative infinite
Step-by-step explanation:
Please help !!! I’m stuck
Answer:
2/3 ≈ 0.6667
Step-by-step explanation:
apply soh cah toa
sine=opposite/hypo
sine=4/6
sine=2/3
HELP PELASE ASAPppppp
Answer:
(a)[tex]\frac{d}{a}=\frac{a}{f}[/tex]
(d)[tex]\frac{e}{c}=\frac{c}{f}[/tex]
(b)[tex]\frac{d}{b}=\frac{b}{e}[/tex]
Step-by-step explanation:
All right triangles are similar
When two triangles are similar then the ratio of their corresponding sides are equal.
Using the property
[tex]\triangle ABC\sim \triangle DBA[/tex]
[tex]\frac{BC}{AB}=\frac{AB}{BD}[/tex]
[tex]\frac{e}{c}=\frac{c}{f}[/tex]
[tex]\triangle ACD\sim\triangle BAD[/tex]
[tex]\frac{CD}{AD}=\frac{AD}{BD}[/tex]
[tex]\frac{d}{a}=\frac{a}{f}[/tex]
[tex]\triangle ACD\sim \triangle BCA[/tex]
[tex]\frac{CD}{AC}=\frac{AC}{BC}[/tex]
[tex]\frac{d}{b}=\frac{b}{e}[/tex]
Correct options are
(a)[tex]\frac{d}{a}=\frac{a}{f}[/tex]
(d)[tex]\frac{e}{c}=\frac{c}{f}[/tex]
(b)[tex]\frac{d}{b}=\frac{b}{e}[/tex]
Plz help ASAP with the correct answer plz
Answer:
3rd one
Step-by-step explanation:
its an idiom you are welcome
Can someone please help me will give brainlist
Answer:
yes
Step-by-step explanation:
start by solving for the missing value. all angles of a triangle should add up to 180. Subtract 31 adn 106 from 180 from the left side, you will get 43. Now do the same to the other side. 180 subtracted by 31 and 43 make 106. Thus, making the triangles the same. hope this helps
If the Federal Reserve buys $40,000 in Treasury bonds from a bank at 6%
interest, what is the immediate effect on the money supply?
A. It is decreased by $40,000
B. It is increased by $40,000
C. It is decreased by $2400
D.it is increased by $2400
Answer:
The answer would be it would increase by 40,000
Yep here we go again:
In the diagram below, the red angle angle YAK and the blue angle angle OAT are both right angles. If angle YAO=23 then what is the measure of angle KAT
If you don't know the answer or not sure, please don't answer it!
Whoever answers it correctly gets brainliest!!
Answer:
23 degrees
Step-by-step explanation:
90+23-90=23
9514 1404 393
Answer:
23°
Step-by-step explanation:
Both angles YAO and KAT are complementary to angle OAK, so are congruent.
∠YAO = ∠KAT = 23°
Harold cut 18 1/2 noches of ropero that was 60 inches long how much is the length of the remaining rope un inches written un decimals f From
Answer:
41.5
Step-by-step explanation:
If you do 60- 18.5 (1/2 = 0.5), you get about 41.5 inches left of the rope
what is 9 1/6 - 2 3/4?
Answer:
6 5/16
Step-by-step explanation:
Hope this helped :)
I only need 1 b. please no work needed thank you
Answer:
standard form is x^2-3x-4=0
which is a^2+bx+c=0
so the value of a=1 , b= -3 and c= -4
who ever awnsers first get brainleist
Answer: 4 servings
Step-by-step explanation: If a serving of juice is 1/8 of the pitcher, we know that a full pitcher is capable of 8 servings, because 8 servings would be 8/8 of the picher, that is, the whole pitcher therefor 8 serivngs: 4 servings
can someone please help me with this
Answer:
The answer is about 13.7 for x
Step-by-step explanation:
Hope this helps.
PLEASEEEEE HELPPP ILL GIVE 30 POINTS PLSSS HELP
Can someone help me with a full math assignment about slope rate of change and stuff? i will give them brainliest answer too
Answer:
yes of course .
I will help you .
The temperature was -5 degrees and then fell 8 degrees. What is the temperature now?
Answer:
-13 degrees tell me if it's right
Answer:
-13 is the answer
Step-by-step explanation:
because -5-8= -13
Write the linear equation in slope-intercept form given the following:
(1, 4); slope=-2
Answer:
y=-2x+6
Step-by-step explanation:
y-4=-2(x-1)
y=-2x+6
What do you notice about the equation y=12?
Answer:
X=0
Step-by-step explanation:
If you look at the graph and follow, the x axis to match up with y=12, then you will see that x is 0
Answer:
M=0
Step-by-step explanation:
I got it right on I-Ready and because there is no change in y
what is the distance between 0,4 and -1,-5
Answer:
y = −x + 4
Step-by-step explanation:
Having some struggles
Answer:
I think it's 399
___
500
I hope it's well help you
Answer:
the answer is 149/500 :D hope this will help u
Having trouble solving this:
Answer:
The answer is 24*(1/5)........
Answer:
the answer is D) 121/500
Step-by-step explanation:
in parallelogram
abcd if b=50 find the other angles
Answer:
a is 130 c is 50 and d is 130 opposite angles are equal and corresponding angles sum equals 180
3.) Find the slope between the 2 points.
х
-2
-1
0
1
2
Y
-3
-1
1
3
5
what form is the equation 12y=2x=24
Answer:
Step-by-step explanation:
Simplifying
12y + 2x = 24
Reorder the terms:
2x + 12y = 24
Solving
2x + 12y = 24
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12y' to each side of the equation.
2x + 12y + -12y = 24 + -12y
Combine like terms: 12y + -12y = 0
2x + 0 = 24 + -12y
2x = 24 + -12y
Divide each side by '2'.
x = 12 + -6y
Simplifying
x = 12 + -6y