Answers
hello
30/42 = x /49
42 x = 1 470
x = 35
30 /42 = 40/ 40 + y
30 y + 1200 = 1 680
30 y = 1 680 - 1 200
30 y = 480
y = 16
Answer:
x = 35
y = 16
Step-by-step explanation:
Both the triangles are similar by AA test of similarity.
[tex] \implies \: \frac{30}{30 + 12} = \frac{40}{40 + y} = \frac{x}{49} \\ \\ \implies \: \frac{30}{42} = \frac{40}{40 + y} = \frac{x}{49} \\ \\ \implies \: \frac{5}{7} = \frac{40}{40 + y} = \frac{x}{49} \\ \\ \implies \: \frac{5}{7} = \frac{x}{49} \\ \\ \implies \: x = \frac{5 \times 49}{7} \\ \\ \implies \huge \red {\boxed{ \: x = 35}}\\ \\ \implies \: \frac{5}{7} = \frac{40}{40 + y} \\ \\ 5(40 + y) = 280 \\ \\ \implies \: 200 + 5y = 280 \\ \\ \implies \: 5y = 280 - 200 \\ \\ \implies \: 5y = 80 \\ \\ \implies \: y = \frac{80}{5} \\ \\ \implies \: \huge { \orange{ \boxed{ y = 16}}}[/tex]
Related Questions
Rectangle ABCD has a perimeter of 22 units. The coordinates of the rectangle's vertices are A(-4,5), B(3,x), and D(-4,x). Which could be the value of x
Answers
Step by step explanation:
(2,-3) to (4,-3) = 2
(4,-3) to (4,5) = 8
(4,5) to (2,5) = 2
(2,5) to ( 2,3) = 8
Total: 20
Through the given information in the question, the value of x could be 12.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance around the outside of the rectangle. It is calculated by adding together the length of all four sides of the rectangle. If the length of the rectangle is denoted by 'l' and the width is denoted by 'w', then the formula for the perimeter (P) of the rectangle is:
P = 2l + 2w
Alternatively, the formula can also be written as:
P = 2(l + w)
The perimeter of a rectangle is given by the sum of the lengths of all four sides. Therefore, we can write:
AB + BC + CD + DA = 22
We know that AB = CD = 9 since they are opposite sides of the rectangle. We also know that DA = BC = x - 5, since they are the other two sides of the rectangle.
Substituting these values into the perimeter equation, we get:
9 + x - 5 + 9 + x - 5 = 22
Simplifying the equation, we get:
2x - 2 = 22
2x = 24
x = 12
Therefore, the value of x could be 12.
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Please help me I need the explanation to the question step by step solving
Find the values of x and y.
Answers
7x - 7= 112-7
7x= 105
(Since it’s multiplication divide and vice versa)
7x/7 = 105/7
X= 15
The two opposite angles need to add up to 180. Since we know one angle is 112 subtract that from 180.
180-112= 68
Now we know what the other angle needs to be so set up the equation.
4y= 68
(Again divide cause it is multiplication)
4y/4= 68/4
Y=17
The answers are:
x=15
y=17
Answer:
x = 15; y = 17
Step-by-step explanation:
A line equals 180 degrees
7x + 7 and 4y form the full line
As such:
7x + 7 + 4y = 180
Another line formation is between 4y and 112
A line equals 180 degrees
4y + 112 = 180
180 = 180 so:
7x + 7 + 4y = 4y + 112
Isolate the variable x
Subtract 4y from both sides
7x + 7 + 4y - 4y = 4y - 4y + 112
7x + 7 = 112
Subtract both sides by 7
7x + 7 - 7 = 112 - 7
7x = 105
Divide both sides by 7
7x ÷ 7 ÷ = 105 ÷ 7
1x = 15
x = 15
If x = 15, plug this new information into the expression with both x and y variables
7(15) + 7 + 4y = 180
Pemdas says multiply first
105 + 7 + 4y = 180
Combine like terms
112 + 4y = 180
Subtract both sides by 112
112 - 112 + 4y = 180 - 112
4y = 68
Divide both sides by 4
4y ÷ 4 = 68 ÷ 4
1y = 17
y = 17
Check work:
7(15) + 7 + 4(17) = 180
Pemdas says multiply first
105 + 7 + 68 = 180
Combine like terms
112 + 68 = 180
180 = 180
This means the variable values are correct
The bedroom is 10 ft. by 8 ft, and the ceilings are 8 ft.
Find the surface area of the rectangular room
Answers
HELLLPPPPP!!!!!!
What is the missing number in the synthetic division problem below?
Answers
Answer:
9
•
•••••
•••••••••••••••
Answer:
9 :) (ape.x)
Step-by-step explanation:
If a, b, and c are rational numbers and ac>bc always true?
Answers
Answer:
Let's put it like this.
a = 1
b = 2
c = 3
Now, multiply b and a.
a x c = 3
Convert this expression to its factored version, ac.
Next, multiply b and c.
b x c = 6
Turn b and c into factored form, bc.
↓ conclusion ↓
Since 6 is greater than 3, this statement is not true. The only way it will always be true is if you reversed the number sequence to be greatest to least, instead of least to greatest.
Write -9 1/2 as a decimal number.
Answers
Answer:
-.095 is the correct answer
Step-by-step explanation:
look it up if you want-_-
Answer:
-0.75
Step-by-step explanation:
help will give Brainliest!!!!!!!!!!!!!
Answers
Answer:
lol give them to me Xd
Step-by-step explanation:
Answer: C. 1*10^1 times
Can someone show me how to solve this step by step?
Answers
9514 1404 393
Answer:
x = -15
Step-by-step explanation:
It appears the drawing is showing two representations for the distance LK. Of course, they both have the same value.
10 = LK = x+25
Subtracting 25 from the equation, we have ...
-15 = x
(This value of x makes KJ = (2(-15)+27) = -3, a nonsense value.)
_____
Alternate (more sensible) interpretation
If the bottom line is intended to represent LJ, then we have ...
10 +(2x+27) = (x +25) . . . . LK +KJ = LJ
x +37 = 25 . . . . subtract x
x = -12 . . . . . . . subtract 37
With this value of x, the length of KJ is 2(-12)+27 = 3, and the overall length LJ is (-12)+25 = 13. This is consistent: LK=10, KJ = 3, LJ = 13.
Use The diagram to complete the statement
Answers
Answer:
Looks confusing I don't really know this but try your best !! :')
Step-by-step explanation:
Use a net to find the surface area of the right triangular prism shown below 6ft 7ft 8ft 10ft
Answers
Step-by-step explanation:
Considering the area of the 2 right angled triangles
Area of two triangles
=2 [1/2 x base x height]
=base x height
=8 x 6
=48 ft2
Area of two big rectangles
=2 [length x width]
=2 [10 x 7]
=2 x 70
=140 ft2
Area of small rectangle (base of figure)
= length x width
=7 x 6
=42 ft2
Total surface area
=sum of all areas
= 42 + 140 + 48
=230 ft2
A bag of flour weighs 5 pounds. There are 435.5 grams in a 1 pound. How may grams of flour are in the bag?
Answers
Step-by-step explanation:
435.5 X 5 = 2177.5 g are in the bag
Non Examples of table graph
Answers
Answer:
i didnt get u what do u want that i should explain u
Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and an interest rate of 7. 5%, compounded monthly. How much more will Viola’s monthly payment be if the loan is unsubsidized than if the loan is subsidized? Round all dollar values to the nearest cent. A. $35. 05 b. $45. 94 c. $96. 96 d. $63. 52.
Answers
The Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\left(1+\dfrac{R}{n\times100}\right)^{nt}[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and an interest rate of 7. 5%, compounded monthly.
Put this values in the above formula as,
[tex]A=8470\left(1+\dfrac{7.5}{12\times100}\right)^{12\times 4}\\A=11422.6348[/tex]
For the four years, the monthly payment is,
[tex]m=\dfrac{11422.6348}{4}\\m=237.97[/tex]
The monthly payment of unsubsidized loan is $237.97.
The monthly payment of subsidized loan is $202.80.
The difference between the unsubsidized and subsidized loan monthly payment is,
[tex]d=237.97-202.80\\d=35.17\\d\approx35.05[/tex]
Thus, the Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.
Learn more about the compound interest here;
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What is the diameter of a circle with a circumference of 84. 78 inches? Use 3. 14 for π. Enter your answer in the box.
Answers
Answer:11.08in
Step-by-step explanation:
A cylinder has a surface area of 150 inches²? What is its height if the radius is 5 inches?
A) 5 inches
B) 10 inches
C)
[tex]5\pi \: inches[/tex]
D)
[tex]10\pi \: inches[/tex]
Answers
Answer:
10 inches
Step-by-step explanation:
did with a teacher
What is the measure of angle 1? A triangle has angles 29 degrees, 65 degrees, and 2. The exterior angle to angle 2 is 1. 36° 86° 89° 94°.
Answers
Answer:
94°
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angles.
∠1 = 29° +65° = 94°
_____
Additional comment
You can see this when you realize that both the sum of the remote angles and the exterior angle are supplementary to the third interior angle, ∠2. Angles supplementary to the same angle are congruent. That is, the sum of 29° and 65° is congruent to ∠1.
Answer:
94°
or d
Step-by-step explanation:
Work-out corner has 5 more than 3 times as many exercise bicycles as the gym. Together they have 21 bicycles. Solve the equation x+3x+5=21 to find the number of bicycles at work-out corner.
A. 17 bicycles
B. 7 bicycles
C. 4 bicycles
Or D. 25 bicycles
Answers
4X = 21 - 5
4x = 16
X= 4
In the given figure, ABC is a right triangle.
What is true about AABC?
Answers
Answer:
C. sin(A) = cos(C) and cos(A) = sin(C)
Step-by-step explanation:
How to find the surface area of a trapezoidal prism.
Answers
Answer:
( b1 + b2)h+ph
Step-by-step explanation:
get it
Choose the mixed number for this decimal
2.1
Answers
Answer:
21/10
Step-by-step explanation:
you"ll have to take my word for it
i need this now asap
Answers
Answer:
I got you :)
Step-by-step explanation:
Remember the formula for the lateral surface area of a cylinder?
it is 2 x pi x radius x height
2·π·2·5 = 62.83185
Answer: 62.83in^3
the in^3 is because its in square inches
Hope this helps!
Answer:
[tex]\rm\hookrightarrow Lateral\: surface\: area=[/tex]62.8in²
Step-by-step explanation:
[tex]Solution,\\\\Here,\\\\Radius(r)=2in\\\\Height(h)=5in\\\\Now,\\\\\rm\hookrightarrow Lateral\: surface\: area=2\pi rh\\\\\rm\hookrightarrow Lateral\: surface\: area=2\times3.14\times2in\times5in\\\\\rm\hookrightarrow Lateral\: surface\: area=62.8in^{2}[/tex]
The area of a rectangular tabletop is 23. 8 square feet. The tabletop is 4. 25 feet wide. How long is the tabletop?
Answers
Answer:
Step-by-step explanation:
Length = Area ÷ width
= 23.8 ÷ 4.25
= 5.6 ft
Lisa supplies costumes to a number of theater companies and recently lent out a number of different hats. ski hats 4 berets 1 turbans 5 Considering this data, how many of the next 18 hats requested from Lisa's inventory should you expect to be turbans?
Answers
The total number ot turbans that Lisa's inventory should have 9 turbans in the next 18 hats when requested, under the condition that recently lent out a number of different hats. ski hats 4 berets 1 turban.
The evaluated probability of turbans in Lisa's inventory is 5/10 or 1/2. This projects that out of every 10 hats in Lisa's inventory, 5 are turbans.
To evaluate the expected number of turbans in the next 18 hats taken from Lisa's inventory, we can apply the formula:
Expected number of turbans = Probability of turbans × Total number of hats requested
Staging the values
The turbans that are expected
= (1/2) × 18
= 9
Then, it can expected that 9 turbans in the next 18 hats requested from Lisa's inventory.
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I’ll give Brainly for helping
Answers
Answer: 16
Step-by-step explanation:
Shen runs 7 miles in 50 minutes. At the same rate, how many miles would he run in 75 minutes?
Answers
Answer:
(7 miles)/(50 minutes) = (x miles)/(75 minutes)
7/50 = x/75
7*75 = 50x
525 = 50x
50x = 525
x = 525/50
x = 10.5
He can run 10.5 miles in 75 minutes
Step-by-step explanation:
Answer:
10 [tex]\frac{1}{2}[/tex] miles in 75 minutes.
Step-by-step explanation:
Let us first analyze the problem,
we are given that she runs 7 miles in 50 mins
make it a fraction
[tex]\frac{7}{50}= \frac{x}{75}[/tex] (we cross multiply)
525=50x (divide both sides by 50)
x=10.5 (x= the amount of miles)
the points u,v, w and x all lie on the same line segment , in that order ,such that the ratio of uv: vw: wx is equal to 1:3:4.if ux=8,findvx.
Answers
Answer:8
Step-by-step explanation:
4² × (-3/2)⁴ how we do it plz tell
Answers
=1/3×-1/4
=-1/12
You can understand this question.The question I have given is same as your but values are different but method is same..
The answer to this is 81.
Write an equation that relates the time, t, it takes to travel a given distance, d.
Answers
The equation that relates the time, t, it takes to travel a given distance, d is d = rt
What is Speed?This is a scalar quantity and can be defined as the magnitude of the rate of change of its position with time.
d = rt
where d is distance, r is speed or rate, t is time.
We can calculate the time by dividing the distance with the rate (speed).
t = d/r
This is why it was chosen as the most appropriate choice.
Read more about Speed heere https://brainly.com/question/4931057
Please Answer Number 5
Answers
Answer:
27 square feet
Step-by-step explanation:
The area of each triangle is given by the formula ...
A = 1/2bh
A = 1/2(3 ft)(3 ft) = 4.5 ft²
The area of 6 such triangles will be 6 times this value, or ...
hexagon area = 6 × 4.5 ft² = 27 ft²
The area of Amy's hexagon table is 27 square feet.
A pizza restaurant has a toddler play area with a ball pit.The ball out has 1000 red balls,500 green balls,and 100 yellow balls. If a ball is randomly picked from the pit,What is the probability it is yellow
Answers
Answer:
6.25
Step-by-step explanation: