a pillow is in the shape of a regular pentagon. The front of the pillow is made form 5 pieces of fabric that are congruent triangles. Each triangle has an area of 22in squared. What is the area of the front of the pillow?
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ΔABC and ΔXYZ are similar triangles. If BA = x + 9, AC = x + 7, YX = x + 5, and XZ = x + 4, find the value of x.
Solution:
we are given that ΔABC and ΔXYZ are similar triangles.
As we know , when two triangles are similar then the ratios of their corrsponding sides are equal.
Here we have
BA = x + 9, AC = x + 7, YX = x + 5, and XZ = x + 4
So we can write
[tex] \frac{x+9}{x+5}= \frac{x+7}{x+4}\\ \\ (x+9)(x+4)=(x+7)(x+5)\\ \\ x^2+13x+36=x^2+12x+35\\ \\ 13x-12x=35-36\\ \\ x=-1\\ \\ [/tex]
Hence then value of x=-1.
Answer:
-1
Step-by-step explanation:
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The latest online craze is a new game, Khan on Seven. You get 100 points for playing the game. In addition, you get 50 points for each seven-letter word you are able to make with the ten letters you are given. The game leader currently has 17,950 points. Sal wants to break the record and needs 18,000 points or more to do so.
Write an inequality to determine how many seven-letter words, w, Sal will need to make to break the record.
Identify which graph represents the solution set to this inequality.
Please solve both, graph and show work. answer also has to be in y=mx+b format.
2x-y=1 and x+y=2
A photo of a painting measures
13 inches by 17 inches. The scale factor
is 1
3 . What size is the painting?
The size of the painting is [tex]\( \frac{13}{3} \) inches by \( \frac{17}{3} \)[/tex] inches.
If the photo of the painting has dimensions of 13 inches by 17 inches and the scale factor is 1/3 it means that the dimensions of the painting itself are 1/3 times the dimensions of the photo.
To find the size of the painting, we need to multiply the dimensions of the photo by the scale factor.
For the length:
[tex]\[ \text{Length of painting} = 13 \times \frac{1}{3} = \frac{13}{3} \][/tex]
For the width:
[tex]\[ \text{Width of painting} = 17 \times \frac{1}{3} = \frac{17}{3} \][/tex]
8. Find the measure of the third angle of a triangle given that the first two angles are 44o and 72 o. Show your work.
44+72=116
180-116=64
3rd angle=64
64+44+72=180
44+72=116
180-116=64
3rd angle=64
64+44+72=180the formula for finding the area of a triangle is a equals 1/2 x base height a triangle has height 12 in an area of 54 in squared what is the length of its base
Use absolute value to express the distance between −13 and 17 on the number line
Answer:
Step-by-step explanation:
Distance between two points a and b using the absolute value is given by
|b-a|.
Here we have a=-13
and b =17
so
Distance = | 17- (-13) |
Distance = |17 +13 |
Distance = | 30 |
Distance = 30 units
In absolute value, the distance is written as |30|
The given points:
[tex](x_1, x_2) = (-13, 17)[/tex]
To find:
the distance between -13 and 17The distance between the two points on a number line is calculated as;
[tex]Distance = \sqrt{(x_2-x_1)^2} \\\\Distance = \sqrt{(17--13)^2}\\\\Distance = \sqrt{(30)^2} \\\\Distance = + /- \ \ 30[/tex]
In absolute value, the distance is written as;
Distance = |30|
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A license plate comprised of 3 letters followed by 3 numbers is to be chosen (repetition is allowed). If the first letter cannot be a "Z", how many different ways can this occur? In your answer, include the set up and calculations for the license plate. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.
Tabitha and her parents drive to Dallas for a wedding after 90 minutes Tabatha's father tells her that they have travel 105 miles what is the average rate of speed the car travel in 90 minutes
Find the circumference of the circle. Round to the nearest tenth.
A.) 148.4 m
B.) 84.8 m
C.) 196.6 m
D.) 54.0 m
What is the domain of this function
Answer:
Domain (-∞,4)U(4,∞)
Step-by-step explanation:
Inmagine functions as little machines that turn one number into another, the domain would the numbers that we can enter to the machine so we would have a real number on the output of it.
In this specific case we can use all the numbers but 4 because if we make [tex]x=4[/tex] we would have [tex]\frac{12}{4-4}=\frac{12}{0}[/tex] and this is an indeterminate form which won't be solution to the problem.
According to the explanation our domain would be all the numbers but 4 like this:
Domain (-∞,4)U(4,∞)
If the area of a square is 64 square centimeters, whats the length of one side?
A. 8cm
B. 32cm
C. 16cm
D. 4cm
what is a rational number?
5 − (x + 5) > −2(x + 4)
All of the following are equal except
a)-|5|
b)-|-5|
c)|-5|
d) the opposite of 5
What is the correct meaning of the word particular?
Millie looked through all of the markers until she found the particular shade to color the flowers
A) extremely rare
B) separate and distinct
C) easily seen or noticed
D) commonly occurring
Answer:
Step-by-step explanation:
The answer is B
CAN SOMEONE HELP! please - Give brainliest to best
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Answer:
Step-by-stPart A
Answer: 7/36
This is in fraction form
The decimal version of this number is roughly 0.1944
-----------------------------------
To get this answer, we multiply the fractions 7/9 and 2/8
The fraction 7/9 is the probability of selecting purple on the first draw. There are 7 purple out of 9 total (2+7 = 9)
The fraction 2/8 is the probability of selecting white on the second draw. This is assuming we don't put the first selection back in the bag. There are 2 white out of 8 marbles over
Multiply the fractions to get:
(7/9)*(2/8) = (7/9)*(1/4) = (7*1)/(9*4) = 7/36
============================================================
Part B
Answer in fraction form: 1/36
Answer in decimal form: 0.0278 (which is approximate)
------------------
We have 2 white out of 9 total. So the probability of getting white the first time is 2/9
After we select and don't put that first selection back, we have 1 white out of 8 left over. The probability of getting white a second time is 1/8
Multiply the fractions:
(2/9)*(1/8) = (2*1)/(9*8) = 2/72 = 1/36
============================================================
Part C
Answer: There is a greater chance to get two purple in a row
Without doing any math, you can tell that purple is more likely simply because there are more purple than white. We have 7 purple and 2 white. For any given single selection, we have a greater chance of picking purple over white.
If you want do to the math, then the probability of selecting two white marbles in a row is 1/36 = 0.0278 which was found in part B above.
The probability of selecting two purple is (7/9)*(6/8) = (7/9)*(3/4) = (7*3)/(9*4) = 21/36 = 7/12 = 0.5833
In summary,
the probability of selecting two white marbles in a row is 0.0278
the probability of selecting two purple marbles in a row is 0.5833
we see that the probability for the two purple marbles is much greater
if you invest $100 a month into a retirement account paying 6% interest compounded monthly, how much will you have after 35 years?
Select from the drop-down menu to correctly compare the numbers.
50−−√ 6.237...
A ≤
B =
C ≥
Answer:the answer is c
Step-by-step explanation:
I just did the test I got at 100
Can someone answer a b and c. Will mark brainliest!!!!
Jackson flipped a coin ten times. He flipped heads 4 times and tails 6 times. What is the experimental probability that Jackson will flip heads on his next flip?
Answer:
1.5 i think
Step-by-step explanation:
6/4=1.5
Which of the following equations represents a line that is parallel to y=5x-4 and passes through the point, (3,4)?
Which equation has no solution?
4(x + 3) + 2x = 6(x + 2)
5 + 2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
4 + 6(2 + x) = 2(3x + 8)
Answer:
5+ 2(3+2x) = x + 3(x+1) or B
Step-by-step explanation:
correct on edge 2021
The Equation have No solution is 4(x + 3) + 2x = 6(x + 2).
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
First, 4(x + 3) + 2x = 6(x + 2)
4x + 12 + 2x = 6x + 12
6x + 12 = 6x+ 12
0 = 0
Thus, the equation have No solution.
Second, 5 + 2(3 + 2x) = x + 3(x + 1)
5 + 6 + 6x = x + 3x + 1
6x+ 11 = 4x+ 1
2x = -10
x= -5
Thus, the equation have one solution.
Third, 5(x + 3) + x = 4(x + 3) + 3
5x+ 15 +x = 4x + 12 + 3
6x +15 = 4x + 15
2x = 0
x= 0
Thus, the equation have one solution.
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HELP ME PLEASE 20 POINTS TO WHOEVER ANSWERS!
what is the difference between the greatest green bean weight and the least green bean weight
Explain why 0.77 > 0.077
Does 21.6,28.8,36 equal a right triangle
If a customer wants to cover an area 20ft wide by 57ft long with rock, how many square feet does he have to cover?
what is the solution to the linear equation? 2.8y+6+0.2y=5y-14
Answer:
Step-by-step explanation:
D)10