If QS bisects PQT, SQT=(8x- 25),PQT=(9x+34), and SQR=112, find each measure.
Answers
The values of the angles are;
x = 12°
m∠PQS = 71°
m∠PQT = 142°
m∠TQR = 41°
The reason the above values are correct is as follows:
Question: The part of the question that appears missing as obtained online is as follows;
The required angles: x, m∠PQS, m∠PQT, and m∠TQR
Please see attached drawing of the angles from the question
The given parameters are;
[tex]\overset{\longrightarrow}{QS}[/tex] bisects ∠PQT
m∠SQT = (8·x - 25)°
m∠PQT = (9·x + 34)°
m∠SQR = 112°
We have;
m∠PQT = m∠SQT + m∠PQS (Angle addition postulate)
m∠SQT ≅ m∠PQS (Angles formed by angle bisector are congruent)
m∠SQT = m∠PQS Definition of congruency
m∠PQT = 2 × m∠SQT
Therefore;
(9·x + 34)° = 2 × (8·x - 25)° = (16·x - 50)°
Collecting like terms gives;
(34 + 50)° = 16·x - 9·x = 7·x
7·x = 84°
x = 84°/7 = 12°
x = 12°
m∠SQT = (8·x - 25)°
Therefore;
m∠SQT = (8 × 12 - 25)° = 71°
m∠SQT = 71°
m∠PQT = 2 × m∠SQT
∴ m∠PQT = 2 × 71° = 142°
m∠PQT = 142°
m∠PQS = m∠SQT (Angles formed by the same bisector [tex]\overset{\longrightarrow}{QS}[/tex])
∴ m∠PQS = m∠SQT = 71°
m∠PQS = 71°
m∠SQR = m∠SQT + m∠TQR (Angle addition postulate)
m∠SQT = 71°
∴ m∠SQR = 112° = 71° + m∠TQR
m∠TQR = 112° - 71° = 41°
m∠TQR = 41°
Learn more about finding angles with algebraic expressions here:
https://brainly.com/question/21607755
Related Questions
what is the square root of 465
Answers
Answer:
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Step-by-step explanation:
√465 = 21.5
Determine whether each of the following pairs of angles have equal measures. Drag and drop each pair of angles into the correct catagory to show which pairs have equal measures.
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Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
Determine whether each of the following pairs of angles have equal measures. Drag and drop each pair of angles into the correct catagory to show which pairs have equal measures.
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the quotient of 5+h and n+3
Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
steps are in the picture below.
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Answers
Step-by-step explanation:
by using the pythagoras theorem,
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Using Pythagorean theorem
[tex]\\ \rm\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \rm\longmapsto P^2=20^2-4^2[/tex]
[tex]\\ \rm\longmapsto P^2=400-16[/tex]
[tex]\\ \rm\longmapsto P^2=384[/tex]
[tex]\\ \rm\longmapsto P=\sqrt{84}[/tex]
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Answers
Answer:
17. Vertex R
18. line FG
19. line RS
20. no they aren't collinear but they are coplanar
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Answer:
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Step-by-step explanation:
if you have 20 yards of ribbon and need to vut it into 2 yard lengths how many cuts do you have to make. step by step if u can if not its fine
Answers
Answer:
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Step-by-step explanation:
Given: 20 yards of ribbon in total. Need to make 2 yards each.
To find out how many yards you need to cut, divide:
20 / 2 = 10
So, you need to make 10 cuts for the 20 yards.
Hope this helped.
11
Part A: If (2^6)^x = 1, what is the value of x? Explain your answer.
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2 points for each answer; 2 points for each explanation.
Answers
Answer:
Step-by-step explanation:
2^6 = 64 and the only power of 64 that gives us 1 is 64^0 = 1. S0 x = 1.
Now 5^0 is already 1. Then (5^0)^x =1^x is equal to 1 for any value of x.
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Answers
Answer:
Step-by-step explanation:
2x=8 and 3y=9
x=8/2 and y=9/3
x=4 and y=3
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Answers
Explanation:
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8x^2+16x-40-6x^2+12x-9
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Evaluate the expression.
0.2 ÷ -1×(0.6 – -0.4)
Write your answer as an integer or a decimal. Do not round.
pls help this is due tonight and i really need help
Answers
Is it [ -(–0.4) ] or (-0.4) did you solve it both ways if it was [–(–0.4) ] or (-0.4)
____o______o____
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_____o_____o_____
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Answers
Answer:
[tex]\frac{25}{15}[/tex] is greater.
Step-by-step explanation:
25÷15=1.67
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1.67 is greater than 0.67, so [tex]\frac{25}{15}[/tex] is greater.
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Answers
Answer:
[tex]-\frac{6}{4}[/tex]
Step-by-step explanation:
The first 2 numbers cancel, and -15/4+9/4 is the same as 9/4 - 15/4
Please mark me as brainliest if I am correct
Answer:
6
Step-by-step explanation:
In the equation, [tex]\frac{23}{4} + -\frac{23}{4} --\frac{15}{4} + \frac{9}{4}[/tex], we can see that [tex]\frac{23}{4} + -\frac{23}{4}[/tex] cancel each other out
This leaves us with [tex]--\frac{15}{4} + \frac{9}{4}[/tex]. The negatives "negate" themselves giving us [tex]\frac{15}{4} + \frac{9}{4} = \frac{24}{4}[/tex] or [tex]6[/tex]
Hopefully (some part of) this explanation makes sense (or at least somewhat). If this doesn't make sense, please tell me and I will try to make it more understandable as soon as possible.
It would help if you marked my answer as Brainliest, if I'm correct, so I can help even more people! (I would really appreciate it!)
Simplify 4 + (-3-8).
Answers
Answer:
4 + (-3-8)
4 + (-11)
4 (+ × -) 11
4 - 11
- 7
Therefore the answer is -7
Answer:
4 + (-3-8)
4 + (-11)
4 (+ × -) 11
4 - 11
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Therefore the answer is -7
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Step-by-step explanation:
Hi there!
Given;
f(x) = 17x + 9
h(x) = 4x
To find: f(x)-h(x)
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= 13x + 9
Therefore, f(x)-h(x) = 13x + 9.
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Answers
Step-by-step explanation:
Solution,
Given:-a=b
Now,
a-c=b-cThen,
a-c=a-c ,because a=b is givenAgain,
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Answers
3(2x - 1) + 2(x + 5) = 47
6x - 3 + 2x + 10 = 47
6x + 2x = 47 + 3 - 10
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Answer:
x = 5
Step-by-step explanation:
[tex]3(2x - 1) + 2(x + 5) = 47[/tex]
[tex]6x - 3 + 2(x + 5) = 47[/tex]
[tex]6x - 3 + 2x + 10 = 47[/tex]
[tex]8x - 3 + 10 = 47[/tex]
[tex]8x + 7 = 47[/tex]
[tex]8x = 47 - 7[/tex]
[tex]8x = 40[/tex]
[tex](8x \div 8 = 40 \div 8 = x = 40 \div 8 )[/tex]
[tex]x = 5[/tex]
Assistance required pleasssse help!
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Answer:
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Step-by-step explanation:
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Answers
Answer:
50%
Step-by-step explanation:
35/70 is .5 as a fracion. multiple .5 by 100 to get your percentage.
Answer:
50%
Step-by-step explanation:
Step 1: 15 + 30 + 5 + 20 = 70
Step 2: 15 + 20 = 35
35/70
Step 3: 35 ÷ 70 = 0.5
Step 4: 0.5 x 100 = 50
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Which polynomial is in standard form?
O 2xy + 3x8y4 - 4x4y5 + 9x576
O 8X5 - 5y4 – 2xy + xy
O x3y2–3x2y-9x4y +11x
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Answers
The polynomial in standard form is as follows;
8x⁵ - 5y⁴ - 2xy⁵ + x²y
How to find the standard form of polynomial?A polynomial can have constants, variables and exponents, but never division by a variable. example of a polynomial is as follows:
4xy² + 2y + 5
Polynomial can be named base on the number of terms. For example monomial, binomial and trinomial.
The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on.
Therefore, the polynomial in standard form is as follows;
8x⁵ - 5y⁴ - 2xy⁵ + x²y
learn more on polynomial here: https://brainly.com/question/27205112
#SPJ1
Answer: its b
8xy5 -5y4 -2xy5 +x2y
Step-by-step explanation:
I got it right on edge
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Answer:
2×1790
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4×895
10×358
Cuánto es
Doy coronita
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Answer:
4
Step-by-step explanation:
√x + 3=25/5
√x+3=5
√x=5-3
√x=2
x=4
WILL MARK BRAINLEST HELP HELP HELP.
Answers
Answer:
the point is (1.73, 3)
Step-by-step explanation:
Given a vector on an xy plot, the magnitude is the hypotinuse of the triangle formed, and the direction is the angle with x axis. So we have a right angle triangle that must be a 30-60-90 (sum = 180).
Then from the lower angle
sin(60) = opposite/hypotinuse = y/(2*3**(1/2))
0.866 = y/(2*1.732)
0.866 = y/3.464
0.866 * 3.464 = y
3 = y
Then from the top angle
sin(30) = opposite/hypotinuse = x/(2*3**(1/2))
sin(30) = x/(2*3**(1/2))
0.5 = x/(2*3**(1/2))
0.5 = x/3.464
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1.73 = x
Which fraction is equivalent to 1/2 • 4/3 divided by 5/6 ?
Answers
I believe the answer you are looking for is 4/5.
Solution:
1/2 • 4/3=2/3
2/3÷5/6=2/3 • 6/5
4/5
the sum of x and its square is equal to y times z
Answers
Answer:
x + x^2 = yx
not really sure if you are looking for this so comment if this is what you wanted