If triangle PQR is similar to SQT, find the value of
PQ.
X-9
S
T
8
Y +5
P
R
21
X = 15
PQ = 26
Answer:
x = 31.4
PQ = 58.8
Step-by-step explanation:
Set up a proportion:
SQ/QP = ST/PR
Substitute in the values they give you:
[tex]\frac{x-9}{x-9+x+5} = \frac{8}{21}[/tex]
[tex]\frac{x - 9}{2x - 4} = \frac{8}{21}[/tex]
[tex]21x - 189 = 16x - 32\\5x = 157\\x = 31.4[/tex]
This means that PQ = 2x - 4 = 2(31.4) - 4 = 62.8-4 = 58.8
Answer:
x = 15, PQ = 26
Step-by-step explanation:
x+13/9 = 21/x-9
x^2+4x−117=168
x^2+4x−285=0
(x−15)(x+19)=0
x=15
it cannot be a negative number so x cannot be -19
PQ= x+13
15+13=26
The perimeter of the triangle below is 42 units. What is the value of x? A. 18 B. 14 C. 30 D. 10
Answer:
x=10
Step-by-step explanation:
Ava is in a hot air balloon that has just taken off and is floating above its launching point. Mary is standing on the ground 4 meter away from the launching point. If ava and mary are 5 meters apart, how high up is ava ?
Answer:
Ava's altitude is 3 meters.
Step-by-step explanation:
The position of Ava and Mary can be described by the sides of a right angled triangle. Let Ava's altitude be represented by x.
So that applying the Pythagoras theorem, we have;
[tex]/hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]
[tex]5^{2}[/tex] = [tex]4^{2}[/tex] + [tex]x^{2}[/tex]
25 = 16 + [tex]x^{2}[/tex]
[tex]x^{2}[/tex] = 25 - 16
= 9
x = [tex]\sqrt{9}[/tex]
= 3
x = 3 meters
Thus, Ava's altitude is 3 meters.
Octers on product box
Usplay
and front-firing
speakers
Answer:
Step-by-step explanation:
A trust me and c
Subtract right answers please
-22 - 49 = -71
Answer:
23
-71
Step-by-step explanation:
11 - (-12) = ?
-22 - 49 = ?
11 - ( -12) = 11 + 12 = 23
-22 - 49
subtracting a negative from a negative is like adding a positive to a positive it has the same affect just a different sign
-22 - 49 = -(22 + 49)
22 + 49 = 71
-(71) = -71
OMG PLEASE HELP IF I DONT PASS THIS I FAIL MY CLASS! HELP! 30 POINTS SHOW WORK IF U NEED TO PLEASE! thank you too anyone(PRETTY PLEASE SHOW HOW YOU DID IT/can you show work)
Answer:
answer is c have a great day :)
Step-by-step explanation:
$37.30 for 2 pairs of jeans
Answer:
18.65
Step-by-step explanation:
I WILL GIVE BRAINLIEST!!!
NO SENDING ME LINKS!!!
Answer:
N(t)=52(9/7)^t
Step-by-step explanation:
hope it's helpful..
have a great day
mary need 50 ft of fence to protect her rectangular garden from squirrels. How long and how wide is the 8 ft more than the width length is if the length is 8 ft more than the width
Answer:
Width of the fence = 8.5 ft
Length of the fence = 16.5 ft
Step-by-step explanation:
Mary need 50 feet of fence to protect her rectangular garden from squirrels. How long and wide is the garden if the length is 8 feet more than the width?
Perimeter of the fence = 2(length + width)
Perimeter of the fence = 50 ft
Width of the fence = x ft
Length of the fence = x + 8 ft
Perimeter of the fence = 2(length + width)
50 = 2{(x+8) + (x)}
50 = 2(x + 8 + x)
50 = 2(2x + 8)
50 = 4x + 16
50 - 16 = 4x
34 = 4x
x = 34/4
x = 8.5
Width of the fence = x ft
= 8.5 ft
Length of the fence = x + 8 ft
= 8.5 + 8
= 16.5 ft
Width of a rectangle is equal to [tex]\boldsymbol{8.5}[/tex] feet and length is equal to [tex]8.5+8=\boldsymbol{16.5}[/tex] feet
Perimeter of a rectangleA quadrilateral having four right angles is known as a rectangle. It can also be described as a square - shaped quadrilateral (equiangular meaning all angles are identical) or a parallelogram with a right angle.
Let [tex]x[/tex] denotes the width [tex](w)[/tex] of a rectangle.
So,
Length of a rectangle [tex](l)=x+8[/tex]
Perimeter of a rectangle [tex]=50[/tex] feet
[tex]2(l+w)=50\\l+w=25\\x+8+x=25\\2x=17[/tex]
[tex]x=8.5[/tex] feet
So,
width is equal to [tex]\boldsymbol{8.5}[/tex] feet and length is equal to [tex]8.5+8=\boldsymbol{16.5}[/tex] feet
Find out more information about rectangle here:
https://brainly.com/question/994316?referrer=searchResults
Mrs. Lee teaches 132 students every day. On a particular day, one-fourth of her students are sick and 24 go on a field trip. In addition to these absences, she gets three new students. How many students does she teach on this day?
Answer: 78
Step-by-step explanation:
Given
Mrs. Lee has [tex]132[/tex] students
On a particular day, one-fourth of her students are sick i.e.
[tex]\Rightarrow \dfrac{1}{4}\times 132=33[/tex]
and 24 were on a field trip.
The total no of students taught on that day will be the subtraction of the gone students and the addition of three new.
[tex]\Rightarrow 132-33-24+3\\\Rightarrow 78[/tex]
An answer with a reasonable response will get brainiest. It is in the picture
Answer:
M = 12.5
Step-by-step explanation:
Simple,
2 times 12.5 is 25
4 times 12.5 is 50
6 times 12.5 is 75
8 times 12.5 is 100
The "m" is just a variable. Kinda like a question mark.
1. Expand to write an equivalent expression: −14(8x+12y)
2. Factor to write an equivalent expression: 36a−6
Pls answer (No links)
Answer:
-112x-168y, 6(6a-1).
Step-by-step explanation:
-14(8x+12y)
-112x-168y
--------------
36a-6
6(6a-1)
suppose you have a bag of 25 marbles and 3 of the marbles are white.If you choose one without looking, what is the probability you choose a white marble? Write this probability as a percent . Use a word or phrase to describe this probability.
Answer:
3/25
THERE IS AN 11% CHANCE
can i get brainliest
Step-by-step explanation:
Answer:
12%
Step-by-step explanation:
3 is 12% of 25. So you would have a 12 percent chance of getting a white marble.
3 ÷ 25 = 0.12 = 12%
Percent formula
P × V1 = V2
5d=10d-20 please answer quickly
Answer:
D = 4
Step-by-step explanation:
None
Answer:
4
Step-by-step explanation:
Subtract 10d from both sides
5d-10d=-5d
-5d=-20
d=4
What was the main purpose of the Declaration of Independence?
Answer:
The main purpose of America's Declaration of Independence was to explain to foreign nations why the colonies had chosen to separate themselves from Great Britain. The Revolutionary War had already begun, and several major battles had already taken place.
Step-by-step explanation:
I WILL CROWN YOU BRAINLIEST I NEED HELP ASAP PLS PLS PLSSSSSS tysm to whoever helps me
Answer:
400
Step-by-step explanation:
Answer:gbfcfrfrfrfrddr
Step-by-step fgggghhhhh:
In ΔSTU, the measure of ∠U=90°, US = 7.3 feet, and ST = 9.8 feet. Find the measure of ∠S to the nearest tenth of a degree.
Answer:41.8
Step-by-step explanation:
A swimming pool measures 10 feet by 8.5 feet by 5 feet. How many cubic feet of water will the swimming pool hold?
Answer:
425 Cubic Feet
Step-by-step explanation:
Cubic feet is volume meaning that in order to find the volume you must multiply the length, width and the height. The answer is 425
The swimming pool will hold 425 cubic feet of water.
What is the volume of a rectangular prism?The volume of the rectangular prism is defined as the space in three-dimension covered by the rectangular prism having the sides Length, Width, and Height.
To find the volume of the swimming pool in cubic feet, we need to multiply the length, width, and height of the pool:
The volume is calculated as,
Volume = length x width x height
Volume = 10 ft x 8.5 ft x 5 ft
Volume = 425 cubic feet
Therefore, the swimming pool will hold 425 cubic feet of water.
To know more about volume follow
brainly.com/question/24284033
#SPJ3
Mrs. Kemp began the school year with 20 students in her kindergarten class. She had 23 students at the end of the year. What was the
percent of increase in the number of students from the beginning of the year to the end of the year?
Which ratios from the list are equivalent to 30/50 answer choices 9/15,5/3,150/250,12/20,33/55.
Answer:
150/250
Step-by-step explanation:
find the lateral surface area of the prism below PLS ANWSER QUIC
Answer:
give me sec waitttttttt give me sec I think 16
Answer: 24
Step-by-step explanation:
Surface area of cube = 6 x side length x side length
Plug in 2 for side length
6 x 2 x 2 = 24
please help!! will give brainliest!!!!
100,78,93,84,91,100,82,79
what is the MAD?
A. 7.625
B.61
C.88.4
D.8
Answer:
The correct answer is A. 7625
A shelf has different sizes of bottles of laundry detergent. This line plot shows the number of cups of laundry detergent in each bottle. Eric buys the kind of detergent that has the most bottles. He uses 18 cup for every load of laundry he does. How many loads of laundry can Eric do with his bottle of laundry detergent? Enter your answer in the box. Loads
Answer:
2 / 3 loads
Step-by-step explanation:
From. The plot, we can conclude that, the detergent that has the most bottles is that with 5 ; the number of cups in the detergent with 5 bottles is 12 cups
Number of cups used for each load of laundry = 18 cups
The loads of laundry Eric can do is thus :
Number of cups of detergent / number of cups used for each load of laundry
= 12 / 18
= 2 / 3 loads
Answer:
1 1/2
Step-by-step explanation:
I took the test
is 7^2 greater then or less than 3^4?
Step-by-step explanation: 7^2 = 49, but 3^4 = 81. 49 < 81
Answer: less
Step-by-step explanation: 7^2 is 49 and 3^4 is 81....
A bag contains 36 red balloons, 40 blue balloons, and 24 purple balloons. Find the probability of NOT choosing a purple balloon.
Group of answer choices
A 3/4
B 76%
C 0.25
D 24%
The sum of 4 and the product of 5 and x is equal to 5 less than the product of 2 and x. What is the value of x?
Answer:
b. -3
Step-by-step explanation:
i hope this helps :)
PLSS HELPPP DUEE TODAYY Problem #1 Simplify the expression.
Answer:
B
Step-by-step explanation:
+/- 7 is the sq root of 49
hope this helps
help pls ok fast pls
Answer:
I would say the last one. If its wrong then its definitely option 9y/3
Sorry if its wrong :(
Definition of radius
Answer:
Step-by-step explanation:
A straight line from the center to the circumference of a circle or sphere.
Help i will give brainlist. The quotient of 2 and g is 8 can u pls show me step by step ty
Answer:
16
Step-by-step explanation:
Set up the equation: g/2 = 8
We want to get 'g' by itself, so we need to reverse the division of two. To do that, we multiply (division and multiplication go together, addition and subtraction go together) both sides by two (what you do to one side of an equation, you must do to the other).
End up with: g = 16
Hope this helps :)