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
The data in the table represents the value of a savings account at the end of each year for 6 years. The relationship between the increasing years and the increasing value of the account is exponential.
Answers
Answer:
1. Constant multiplicative.
2. 1.05.
Step-by-step explanation:
Their savings increase by 1.05x every year.
HELP WILL GIVE BRANLIEST! No links!!!
Answers
Answer:
11.5
Step-by-step explanation:
[tex]14^{2} - 8^{2} = 132\\\sqrt{132}= 2\sqrt{33} = 11.48912529\\answer-is -11.5[/tex]
Answer:
11.48
Step-by-step explanation:
Pythagoras Therum
8^2 + x^2 = 14^2
64 +×^2 = 196
x^2 = 132
sqrt both sides
11.48
The first 4 terms of a 10-term geometric series are listed below. Which expression represents the sum
of the series?
16
25
8 + 4 + 10 +...+ 210
5
Answers
Given:
First 10 term of a geometric series are:
[tex]\dfrac{16}{25}+\dfrac{8}{5}+4+10+...+a_10[/tex]
To find:
The expression that represents the sum of the series.
Solution:
The first term of the given geometric series is:
[tex]a_1=\dfrac{16}{25}[/tex]
The common ratio of the given geometric series is:
[tex]r=\dfrac{a_2}{a_1}[/tex]
[tex]r=\dfrac{\dfrac{8}{5}}{\dfrac{16}{25}}[/tex]
[tex]r=\dfrac{8}{5}\times \dfrac{25}{16}[/tex]
[tex]r=\dfrac{5}{2}[/tex]
The sum of first n terms of a geometric sequence is:
[tex]S_n=\dfrac{a_1(1-r^n}{1-r}[/tex]
Where r is the common ratio.
Putting [tex]a_1=\dfrac{16}{25},r=\dfrac{5}{2},n=10[/tex] in the above formula, we get
[tex]S_{10}=\dfrac{16}{25}\left(\dfrac{(1-(\dfrac{5}{2})^{10}}{1-\dfrac{5}{2}}\right)[/tex]
Therefore, the correct option is C, i.e., [tex]\dfrac{16}{25}\left(\dfrac{(1-(\dfrac{5}{2})^{10}}{1-\dfrac{5}{2}}\right)[/tex].
Answer:
the answer is option c or 16/25 ( 1 - ( 5/2 )^10 / 1 - 5/2)
Step-by-step explanation:
Find the area of the cross section that is parallel to the bases.
Group of answer choices
1122
562
842
962
Answers
what's the area? i need it by 7:00 AM EST time
Answers
Answer:
approx 506.52
Step-by-step explanation:
Rectangle: 21 x 12 =252
Half circle = 1/2 (3.14)(6^2) = 56.52
Trapezoid: 6 (33 +33) = 198
add all of them together
Answer:
479.52 cm²Step-by-step explanation:
Semi-circle:
A = 1/2πr² = 1/2*3.14*6² = 56.52 cm²Trapezoid:
A = 1/2(a + b)h = 1/2 [(12 + 12) + (12 + 21)] (6) = 171 cm²Rectangle:
A = ab = 12*21 = 252 cm²Area of the shape:
56.52 + 171 + 252 = 479.52 cm²Which event is LEAST LIKELY to occur?
A. Event A
B. Event B
C. Event C
D. Event D
DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :)
Answers
Please help triangle similarity
Answers
9514 1404 393
Answer:
(C) SAS
Step-by-step explanation:
The obtuse angles in each triangle are "corresponding" with respect to the segments marked parallel and the horizontal transversal.
Those angles are between pairs of proportional sides:
60/42 = 40/28 = 10/7
so, the applicable theorem is SAS. The triangles can be proven similar using the SAS theorem.
Find X. Please show steps, thank you.
Answers
Answer:
C=10
Step-by-step explanation:
The questions on a multiple choice test have four answer choices.
Which of the following models could you use to simulate the outcome of guessing the correct answers to a 50-question test?
(HINT: Remember to choose a model with the same number of possible outcomes as each test question.)
Group of answer choices
A. flipping a coin 50 times
B. spinning a spinner with 4 equal sections 50 times
C. rolling a 6-sided die 50 times
D. spinning a spinner with 50 equal sections four times
Answers
Answer: spinning a spinner with 4 equal sections 50 times
Step-by-step explanation:
The models that one can use to simulate the outcome of guessing the correct answers to a 50-question test will be to spinn a spinner with 4 equal sections 50 times.
Flipping a coin 50 times is wrong since the coin only has two outcomes which are head and tail. Rolling a 6-sided die 50 times is also wrong.
Therefore, the correct option is B.
There are 7 women and 9 men with a chance to be on a game show. The producer of the show is going to choose 7 of these people at random to be contestants. What is the probability that the producer chooses 4 women and 3 men? Round your answer to three decimal places.
Answers
Answer:
147/572
Step-by-step explanation:
The number of combinations of n things chosen r at a time is
[tex]\binom{n}{r}=\frac{n!}{r!(n-r)!}[/tex] (Some writers use the symbol [tex]_nC_r[/tex])
Choose 4 women from the 7:
[tex]\binom{7}{4}=\frac{7!}{4!(7-4)!}=35[/tex] ways
Choose 3 men from 9:
[tex]\binom{9}{3}=\frac{9!}{3!(9-3)!}=84[/tex] ways
There are 35 x 84 = 2940 ways to choose both, out of
[tex]\binom{16}{7}=\frac{16!}{7!(16-7)!}=11440[/tex] ways to choose any 7 people from the group of 16.
Probability:
[tex]\frac{2940}{11440}=\frac{147}{572}[/tex]
P.S. As an example of how to calculate combinations, here's the calculation (by hand, a calculator is easier!) of [tex]\binom{9}{3}[/tex].
[tex]\binom{9}{3}=\frac{9!}{3!(9-3)!}=\frac{9!}{3!6!}[/tex]
When you write out the factorials, you can do a bunch of cancellation between the numerator and denominator.
[tex]\frac{9\cdot8\cdot7\cdot\cancel{6\cdot5\cdot4\cdot3\cdot2\cdot1}}{(3\cdot2\cdot1)(\cancel{6\cdot5\cdot4\cdot3\cdot2\cdot1)}}=\frac{9\cdot8\cdot7}{3\cdot2\cdot1}=84[/tex]
The difference between six and a number is two
Answers
Answer:
4.
Step-by-step explanation:
the difference means -.
between a number means use a variable (x) to substitute. so now you have the difference between x and 6 is to. is just means equals so you would set it up like this 6-x=2. you can make this easier by just asking yourself. what number plus 2 equals six? the answer would be 4. 4+2=6-->6-4=2.
If 3a + 1 - a = 9 then what does 5a + 2 = ?
Answers
Answer:
[tex]3a + 1 - a = 9 \\ 2a = 8 \\ a = 4 \\ 5a + 2 = \\ 5(4) + 2 = 22[/tex]
first find the value of a, which is 4
then substitute a with 4
Express the product of (1/2x + 1/5) and (5/3x+1/3) as a trinomial in simplest form.
Answers
Answer:
5/6x^2 + 1/2x + 1/15
Step-by-step explanation:
(1/2x + 1/5)(5/3x + 1/3)
5/6x^2 + 1/6x + 1/3x + 1/15
5/6x^2 + 1/6x + 2/6x + 1/15
5/6x^2 + 3/6x + 1/15
5/6x^2 + 1/2x + 1/15
It takes 7 hours for 12 men to paint a room.
How many men would be needed to paint the room in 3 hours?
Answers
Answer: 28 men would be needed to paint the room
q=number of men for 3 hours
q x 1/84 x 3 = 1
q x 1/28 = 28
(Will give branliest if correct)
Mr. Potter is reviewing his 2018 property taxes Use the tax form to complete the statements below.
All I need is the total property tax I don't know how to solve for it.
So my question is how do I find total property tax with the total value of property and total percent rate it just the answer.
So if the total value is 300000
and the percent rate is 1.2 what is the total property tax.
(
Answers
Answer:
I think its 3,600... plz let me know if I'm wrong
Step-by-step explanation:
300,000 x 0.012 or %1.2 (they're the same thing) = 3,600
5. What is the mode in this sequence of numbers? 5, 10, 16, 3, 8, 11, 7, 10,2 I a. 8 b. 5 c. 11 d. 10
Answers
Answer:
Step-by-step explanation:
c, because 3+8 is 11 so c would be correct
80 items were sold, bringing in $6,900 in receipts. Some items were sold at a discount for $75 each and some others were sold at full price for $90 each. How many were sold at discount and how many at full price?
Answers
Answer:
50 items were sold for $75
35 items were sold for $90
Step-by-step explanation:
75 x 50 = 3750
90 x 35 = 3150
3750 +3150 = 6,900
A polynomial with a degree of 3
Example: x^{3} +7
Answers
Answer:
[tex]x^{3}-5x^{2}+2x+8[/tex]
There are 10 counters in a bag: 3 are red, 2 are blue and 5 are green. The contents of the bag are shaken before Maxine randomly chooses one counter from the bag. What is the probability that she doesn't pick a red counter
Answers
Answer:
Step-by-step explanation: total number of counters = 10
number of red counters= 3
number of blue counters= 2
number of green counters = 5
p(of getting a red counter) =3/10
p(of not getting a red counter) = 1-3/10= 10-3/10=7/10
A machine at a graphic design studio produces paper labels for juice bottles. This graph represents the number of labels produced over time.
Zoom in if you cannot see!
Don’t answer if you don’t know the answer. Whoever gets the correct answer will get Brainliest! :)
Answers
Answer:
Option B, would be the correct answer: 75 labels per minute
Step-by-step explanation:
The number of labels produced per minute would be a constant value which would be the slope of this graph represented above.
Slope = [tex]\frac{rise}{run}[/tex]
Slope = [tex]\frac{150}{2}[/tex]
Slope = 75
Hope this helps!
Find Mn to the nearest tenth
Answers
Answer:
B. 23.8
Step-by-step explanation:
Use the formula c = \sqrt a^2+b^2﹣2abcosy (squareroot the whole thing)
c = length of side you are finding
a = length of side a
b = length of side b
y =angle opposite c
Michelle brought an apple cut in 4 for $0.10 per piece. How much should she pay for 3 dozen pieces
Answers
Answer:
$0.10 per piece means $0.40 for 1 apple there are 12 in a dozen so multiply it by 12 which would be $4.80 for a dozen multiply again by 3
$14.40 for 3 dozen I'm pretty sure
find the distance round to the nearest tenth
Answers
Answer:
65 units
Step-by-step explanation:
Peter received a $40 gift card to Starbucks for his birthday. He
spends the same amount every time he goes and has gone 5
times so far. On one of his trips he also got a $3 drink for his
brother. What is the most he could have spent per trip? Choose
the inequality that describes his situation. Let xramount per trip
Answers
Answer:
xr ≤ 7
Step-by-step explanation:
He must spend less than or equal to 7$ to account for 5 trips and 3 extra dollars for 1 trip.
question is in photo
Answers
Write a system of equations for the word problem and then solve to find the answer.
At least week’s basketball game, Ben’s team scored 3 times as many points as Sam’s
team. Together, both teams scored 80 points in total. How many points did each team score?
Equation 1 __________
Equation 2 __________
Answers
Answer:
Sam's team scored 20 points. Ben's team scored 60 points
Step-by-step explanation:
b = 3s
s + b = 80
Substitute
s + 3s = 80
4s = 80
s = 20
Avery works approximately 2080 hours per year if she earns between $7.50 and $8.25 per hour which is the closest to her annual salary
Answers
Answer:
16,000$ is the answer
hope it helped
Based on the family the graph below belongs to, which equation could represent the graph?
Answers
Answer:
its A
Step-by-step explanation:
just took the test
Answer:
The first graph on edge 2021
WILL MARK BRAINLIEST
Given: isoceles trapezoid BEAR, Find AQ
Answers
Answer:
beleive the anser is 12 try that
Step-by-step explanation:
i will give Brainiest if you are right
Answers
Answer:
-4
Step-by-step explanation:
please mark brainliest
Answer:
-4
Step-by-step explanation:
So we can start with -2 + 3, (negatives mean -, and positives mean +)
= 1
Then, 1 - 4
= -3
-3 - 1
= -4
hope this helps :)