In the diagram below of triangle PQR, S is the midpoint of PR and T is the
midpoint of QR. If ST = -32 + 9x, and PQ = -53 +28, what is the measure
of ST?
Answer: ST=?
Answers
Answer:
ST = 4
Step-by-step explanation:
A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.
ST = [tex]\frac{1}{2}[/tex] PQ substitute values
- 32 + 9x = [tex]\frac{1}{2}[/tex] (- 5x + 28) ← multiply both sides by 2 to clear the fraction
- 64 + 18x = - 5x + 28 (add 5x to both sides )
- 64 + 23x = 28 ( add 64 to both sides )
23x = 92 ( divide both sides by 23 )
x = 4
Then
ST = - 32 + 9x = - 32 + 9(4) = - 32 + 36 = 4
Related Questions
When converting a percent to a decimal, will there always be two digits after the decimal point? Explain
Answers
Answer:
No
Step-by-step explanation:
For example, 50% can be written as just 0.5
Help!!
[25+{14-(3x2)-2}]
Answers
the answer is on the page it is a screenshot explaining how to do it
Do the line segments with the given lengths form a right triangle? Drag each set of lengths into the correct box.
Answers
Answer:
1) Yes
2)No
3)Yes
Step-by-step explanation:
Use pythagoreans theorem for the first two side lengths and see if it's equal to the third!
Based on the Pythagorean Triple, "9, 40, 41", " will form a right triangle(YES), while "11, 60, 62" and "48, 55, 73" will not (NO).
To find given lengths form a right triangle or not.
What is the Pythagorean Triple?The Pythagorean triple can be described as any three set of integers representing sides of a right triangle that are solutions to the Pythagorean Theorem, which is given as:
c² = a² + b².
c is the longest side of the right triangle or largest of the set of integers of the Pythagorean triple.
Thus, find out which set of lengths will form a right triangle:
9, 40, 41 will form a right triangle, because:
41² = 40² + 9²
1,681 = 1,681
Also, the rest set of lengths will not form a right triangle.
Thus, based on the Pythagorean Triple, "9, 40, 41", " will form a right triangle(YES), while "11, 60, 62" and "48, 55, 73" will not (NO).
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Finding missing angles
Answers
Answer:
The answer is 45 degrees
Answer: x = 45°
Step-by-step explanation:
since the total angle of that corner is 90°, and one of the angle is 45°
Estimate the sum 11 3/8 + 9 7/10 + 21 1/4 by rounding each mixed number to the nearest whole number. Then find the exact sum
Answers
Approximately 42.
Exact sum is 42 13/40.
Explanation:
Estimate 11 3/8: 11
Estimate 9 7/10: 10
Estimate 21 1/4: 21
Add them together: 42.
11.375 + 9.7 + 21.25 = 42.325
I made them into decimals and then will convert it into fraction.
42.325 = 42 13/40
Hope this helps!
help please and thank you
Answers
Answer:
23,030
Step-by-step explanation:
Add you base price, keyless entry, engine cooling, read window defogger and destination charge together.
Segment AB has endpoints at A ( -3 , 6) and B (7 , -3).
What is the Midpoint of segment AB?
Answers
Therefore, the midpoint of segment AB is M (2, 3/2).
The midpoint formula is a method to determine the midpoint of a line segment.
To find the midpoint of a line segment, use the midpoint formula. In this case, the endpoints of the segment are A (-3, 6) and B (7, -3), and we need to find the midpoint.Point M is the midpoint of the segment AB. Let's find the x-coordinate of M first by applying the midpoint formula:
midpoint x-coordinate = (x1 + x2)/2
midpoint x-coordinate = (-3 + 7)/2
midpoint x-coordinate = 4/2
midpoint x-coordinate = 2
Now, let's find the y-coordinate of M by applying the midpoint formula:
midpoint y-coordinate = (y1 + y2)/2
midpoint y-coordinate = (6 + (-3))/2
midpoint y-coordinate = 3/2
For such more question on segment
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Which of the expressions below has a quotient that is greater than 15? Select all that apply.
A) 192÷12
B) 73÷5
C) 153÷9
D) 112.5÷9
Answers
what is the angle of d
Answers
Answer:
115°
Step-by-step explanation:
65 +65 = 130
360-130= 230
230÷2= 115
Please tell me the answer I need it now... please
Answers
Answer:
Your answer is C!
Cara is flying a kite at the park using a string that is 42 meters long. She notices that the kite is directly above her friend Leah. If Cara and Leah are standing 36 meters apart, how high is the
kite ?
Answers
Answer:
21.63 m
Step-by-step explanation:
Given :
Hypotenus = 42 m
Base = 36 m
Hence, using Pythagoras rule :
Opposite = √hypotenus² - Adjacent²
Height = √42²-36²
Height = √1764 - 1296
Height = √468
= 21.63 m
What value of X makes the equation true -7x - (-5-x) = -9(2x-1) -1
Answers
Answer:
x = 1/4
Step-by-step explanation:
-7x - (-5-x) = -9(2x-1) -1
-7x + 5 + x = -18x + 9 - 1
combine like terms:
-6x + 5 = -18x + 8
add 18x to each side of the equation:
12x + 5 = 8
subtract 5 from each side:
12x = 3
divide both sides by 12:
x = 3/12 = 1/4
Round to the nearest whole dollar: $7.23
Answers
Answer:
$ 7
Step-by-step explanation:
To round 7.23 to the nearest whole dollar consider the tenths’ value of 7.23, which is 2 and less than 5. Therefore, we have to round the amount down: the dollar ones place value of 7.23, 7, remains 7, and the decimal point and all digits (.23) are removed.
$7.23 rounded to the nearest dollar = $7
Given f(x) = 5^2x,evaluate f (-1), f (0),and f (2)
Answers
The values of f(-1), f(0), and f (2) are 0.04, 1 and 625, respectively
How to evaluate the function?The function is given as:
f(x) = 5^2x
For f(-1), we have x = -1
This gives
f(-1) = 5^(2 * -1)
f(-1) = 0.04
For f(0), we have x = 0
This gives
f(0) = 5^(2 * 0)
f(0) = 1
For f(2), we have x = 2
This gives
f(2) = 5^(2 * 2)
f(2) = 625
Hence, the values of f(-1), f(0), and f (2) are 0.04, 1 and 625, respectively
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What is the sales tax for a purchase of $20 if the tax rate is 10 percent?
Answers
Answer:
2
Step-by-step explanation:
If you multiply it by 0.10 that is 10 percent and you get 22 which is 2 more than 20
Answer:
Before Tax Price: $20.00
Sale Tax: 10.00% or $2.00
After Tax Price: $22.00
Step-by-step explanation:
Find the area of the composite figure.
A. 27.5 sq in
B. 37.5 sq in
C. 45 sq in
D. 55 sq in
Answers
Answer:
B. 37.5 sq in
Step-by-step explanation:
sana po makatulong ☺️
Using the Addition Method, find the value of x in the
system of equations
3x + 2y = 2
-3x + 5y = 5
Answers
Step-by-step explanation:
3x+2y=2------------1
-3x+5y=5-----------2
adding 1 and 2 we get
7y=7
y=1
and from (1),we get
3x+2×1=2
3x=0
x=0 is the required value of x.
We want to solve the given system of equations by using the addition method.
The solution is x = 0.
So we start with the system of equations:
3x + 2y = 2
-3x + 5y = 5
We want to use the addition method, this means that we just add these two equations (left side with left side and right side with right side, in this case) we will get:
(3x + 2y) + (-3x + 5y) = 2 + 5
Now we simplify this to get:
7y = 7
Solving for y, we get:
y = 7/7 = 1
Now that we know the value of y, we can replace it on one of the equations and then find the value of x, let's use the first equation:
3x + 2*1 = 2
3*x = 2 - 2 = 0
x = 0
Then we can conclude that the value of x is 0.
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if two parallel lines are cut by a transversal, then alternate interior angle are_______.
pa help po thank u
Answers
Answer:
if two parallel lines are cut by a transversal, then alternate interior angles are congruent
The formula S=C(1+r)^t models inflation, where C= the value today, r= the annual inflation rate (in decimal form), and S= the inflated value t years from now. If the inflation rate is 4%, use the formula to find out how much a house now worth $183,000 will be worth in 15 years. Round your answer to the nearest dollar.
Answers
Answer:
area = b+h / lengthxwidth
Step-by-step explanation:
I need help with this problem can you please show the work
Answers
Answer:
48 degrees
Step-by-step explanation:
inscribed angle is always equal to the measure of the arc
What’s the answers to 15 and 16
Answers
16.) DE = 11
Use synthetic division to evaluate f(x) = –2x^3+ 3x – 6 when x = -5.
Answers
Answer:
-131
Step-by-step explanation:
Use -5 in place of x
f(x) = –2x^3+ 3x – 6
f(x) = -2*-5^3+3*5-6
PLEASE HELP
3/4M -12 but m = 32
Answers
Answer:
Replace the variable m with 32
in the expression.
3/4⋅(32)−12 Simplify each term.
24−12 Subtract 12 from 24.
12
Step-by-step explanation:
An investor invested a total of $2,700 in two mutual funds. One fund earned a 4% profit while the other earned a 2% profit of the investors total profit was $80 how much was invested in each mutual fund
Answers
The sale price for a bicycle is $315. The original price was first discounted by 50percent and then discounted an additional 10 percent. Find the original price of the bicycle. Need answer now please!!
Answers
Answer:
Step-by-step explanation: Let the original price of the bicycle be $x. If the original price was first discounted by 50% and then discounted an additional 10%, the total percentage discount will be 60%.
Step-by-step explanation:
A network of electrical wires will be constructed so that each of the
six points on the board is directly connected to each other point by a piece
of wire. The diagram shows the board with points A, B, C, D, E, and F.
Answers
Answer:
D I just did this
What is the measure of angle X 60° and 40°
Answers
Answer:
80 degree is the measure of third angle
Express 35 degrees into centesimal measure (grade, minute, second).[FULL PROCESS REQUIRED]
Answers
Answer:
sorreyyyy mateeeeee dont know the answer
La suma de un numero mas 16 es igual a 31
Answers
Answer:
47
Step-by-step explanation:
Which of the following numbers is not a perfect square?
49 124 169 361
Answers
Answer: 124
Step-by-step explanation: 7^2=49; 13^2=169; 19^2=361. Only 124 cannot be expressed as a square of an integer.
Answer:
124
Step-by-step explanation: