Answers
Answer:
AE = 43.2 units
Step-by-step explanation:
As per the given question image, it can be seen that in the [tex]\triangle ADC \text { and }\triangle AEB :[/tex]
1. [tex]\angle B = \angle C = 90^\circ[/tex]
2. [tex]\angle A[/tex] is common to both the triangles.
3. Two angles are common, so the third angle [tex]\angle E[/tex] is also equal to [tex]\angle D[/tex].
All the three angles in the [tex]\triangle ADC \text { and }\triangle AEB[/tex] are equal to each other, hence the triangles are similar.
As per the property of similar triangles, the ratio of their sides will be equal.
AB : AC = AE : AD
AC = 88 units
BC = 55 units
AB = AC - AB = 33 units
Let side AE = [tex]x[/tex] units
Side AD = AE + ED
So, AD = [tex]x + 72[/tex]
Using the ratio:
[tex]\dfrac{AB}{AC} = \dfrac{AE}{AD}\\\Rightarrow \dfrac{33}{55} = \dfrac{x}{x+72}\\\Rightarrow 55x = 33 \times 72\\\Rightarrow x = \dfrac{3\times 72}{5}\\\Rightarrow x = 43.2\ units[/tex]
So, AE = 43.2 units
Related Questions
(0,0) is the coordinates of
Answers
Step-by-step explanation:
it's called the origin.
hope this helps :))
Simplify the expression below.
x4 • x4 • x4
Answers
Answer:
Step-by-step explanation:
Answer is x^12
first law of indices
Answer:
x4^3
Step-by-step explanation:
the answer would be cubed so x4 cubed
Please answer correctly !!!!! Will mark brainliest !!!!!!!
Answers
Answer: (1 + x) (1 - x)
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula a^2 + b^2 = (a+b)(a-b) where a = 1 and b = x (1 + x) (1 - x)
please help with slope question fast
Answers
Answer:
C
Step-by-step explanation:
this is because perpendicular lines have the opposite reciprocal slopes. So, 3/2 is the opposite reciprocal of -2/3 since it is negative and that is the opposite sign. Then, it is the reciprocal of the fraction since the numerator and the denominator are switched. If you check the other answer options, you will see that none of the slopes are the exact opposite reciprocal.
A way to remember if a pair of lines are perpendicular or not is by looking at the two slopes of the equation. In both of those equations, we see that 3/2 and -2/3 are negative reciprocals. Perpendicular slopes are always negative reciprocals meaning that only answer C is the correct one.
Find the value of the expression 4a^4 − 2b^2 + 40 when a = 2 and b = 7
Answers
Answer:6
Step-by-step explanation:
4(2)^4 − 2(7)^2 + 40
4(16)-2(7)^2+40
64-2(49)+40
64-98+40
-34+40
6
Answer:
6
Step-by-step explanation:
4a^4 - 2b^2 + 40
Put a = 2 and b = 7
4(2)^4 - 2(7)^2 + 40
Solve the powers first.
4(16) - 2(49) + 40
Multiply.
64 - 98 + 40
Add and subtract.
= 6
Rectangle 1 and Rectangle 2 are similar. Rectangle 2 is three times as long as Rectangle 1. If Rectangle 2 is 18 inches wide, how wide is Rectangle 1?
3 inches
6 inches
9 inches
54 inches
Answers
Answer: 6 inches
Step-by-step explanation:
If rectangle 2 is 3 times as long as rectangle 1, then all we hae to do is divide the width by 3 (The width is 18)
18 ÷ 3 = 6
Answer:
6 trust me i had this on my assignment...
Step-by-step explanation:
The angles of a quadrilateral are in the ratio 2: 3: 5: 8. Find the measure of each angles.
Answers
Answer:
see below
Step-by-step explanation:
Let's call the angles 2x, 3x, 5x and 8x and since the sum of angles in a quadrilateral is 360 degrees we can write:
2x + 3x + 5x + 8x = 360
18x = 360
x = 20 which means the angle measures are 40°, 60°, 100° and 160°
Answer:
40°,60°,100° and 160°
Step-by-step explanation:
First add all the ratio's together
2 + 3 + 5 + 8 = 5 + 13 = 18
Now we utilise the fact that angles in quadrilaterals add up to 360. We form an equation like this 18x = 360 to find the value of x and then substitute back into the ratio's
18x = 360
→ Divide both sides by 18 to isolate x
x = 20
Multiply 20 by each of the ratio's to find the angles of this quadrilateral
2 × 20 = 40
3 × 20 = 60
5 × 20 = 100
8 × 20 = 160
So the angles of a quadrilateral with the ratio of 2: 3 : 5 : 8 is 40,60,100 and 160
Find the area of the figure. If you need to use Pi in your computation, approximate its value as 3.14.
Rectangle topped by a semicircle
a.
130.24 sq. in.
b.
105.12 sq. in.
c.
83.14 sq. in.
d.
180.48 sq. in.
Answers
Answer:
b. 105.12 in²
Step-by-step explanation:
A= 1/2 πr² +ab
a= 8 inb= 10 inr=8/2= 4 inA= 1/2*3.14*4² + 8*10= 105.12 in²GET EASY POINTS AND BRAINLIEST IF YOU ANSWER!!!!!!!!!!! 1)There were 50 people in the Cross Country race: 10% wore red socks 16% wore blue socks 40% wore white socks How many people wore red, blue, and white socks? 2) Six shoes were in a basket: 2 running shoes, 3 fancy shoes, and 1 pair of flip flops. How many different outcomes are there if you randomly choose 2 shoes? How many of those outcomes will include at least 1 fancy shoe? How many of those outcomes include choosing both pairs of running shoes? How many outcomes include the pair of flip flops?
Answers
Answer:
1. 5 wore red, 8 wore blue, and 20 wore white.
2. I'm not sure how this question is meant to be looked at. Are the running shoes and fancy shoes in pairs?
Step-by-step explanation:
For the first question, you simply convert the fractions to decimals, then multiply those decimals by 50 (the amount of people). To do this, just move the decimal place back two. EX: 10% -> 0.10.
6) Work out 4 x 10-5 x 6 x 1012
Give your answer in standard form.
Answers
Answer:
4 × 5 × 6 × 1012 = 121440
= 1.2 × 10⁵
PLZ HELP STUCK ON THIS QUESTION
4a + 6b = 24
6a - 12b = -6
Given the equations what is the value of a+b?
PLZ HELP WILL MARK BRAINLIEST
Answers
Answer:
5
Step-by-step explanation:
4a + 6b = 24
6a - 12b = -6
Rewrite the first equation below. Divide both sides of the second equation by 2 and write below the first equation. Then add the equations.
4a + 6b = 24
+ 3a - 6b = -3
----------------------------
7a = 21
Divide both sides by 7.
a = 3
Now substitute 3 for a in the first equation and solve for b.
4a + 6b = 24
4(3) + 6b = 24
12 + 6b = 24
6b = 12
b = 2
a = 3, and b = 2
a + b = 3 + 2 = 5
Answer: 5
What is the sum of the interior angles of a polygon that has 9 sides?
Answers
Answer:
1260 degrees
Step-by-step explanation:
What is the y-value of the solution to the system of equations?
3x + 5y = 1
7x + 4y = -13
-3
-1
2
5
Answers
Answer:
So the answer is the third one,y=2
Answer:
3rd option: 2
Step-by-step explanation:
edgen2020
The total length of a beach is 13.2 kilometers. If lifeguards are stationed every 0.06 kilometers, including one at the end of the beach, how many lifeguards will there be on the beach?
Answers
Answer:
220 lifeguards
Step-by-step explanation:
We have to divide the length of the beach by the interval of the stationed lifeguards.
13.2 / 0.06 = 220 lifeguards
There are 220 lifeguards.
please help will mark brainliest
Answers
Answer:
20 ft² - 4ft² = 16 ft²
Step-by-step explanation:
First we solve for the whole rectangle:
Formula: A = ab
side length a = 5 in
side length b = 4 in
diagonal p = q = 6.4031242374328 in
perimeter P = 18 in
area A = 20 in²
Second we deduct the Area of the cutout of the Square
side length a = 2 ft
Area = a² = 4 ft²
If you borrow $5.93 for nine years at an interest rate of 6%, how much interest will you pay?
Answers
By using the simple interest formula
Simple interest = principal x rate x time (years) all divided by 100
A display case has room for 10 statues. Find the number of ways you can line up the statues if you have 5 statues
Answers
(Just and Example so it'll kinda explain it.)
Example A
How many ways can 5 students sit in a row?
Solution: If we consider the students sitting in one of five seats, then we have 5 students to choose from for the first seat, four remaining to choose from for the second seat and so on until all the seats are filled.
5–×4–×3–×2–×1–=120 So there are 120 ways to seat the students.
More Guidance
The way we just wrote out 5–×4–×3–×2–×1– can also be expressed as a factorial. A factorial is the product of a number with each number less than itself. We use the notation, 5!, which is read as “five factorial” to represent the expression 5–×4–×3–×2–×1–. It is important to note that 0!=1!=1. Students are often perplexed that both zero and one factorial are equal to one but think back to the context for illustration. If you want to arrange zero items, how many ways can you do it? If you want to arrange one item, how many ways can you do it? There is only one way to “arrange” zero or one item.
To evaluate a factorial on the TI-83 or 84 graphing calculator, type in the number, then press MATH→NUM, 4!. Press ENTER to evaluate.
Joan draws a bar chart to show the temperatures at midday on March 1st in five cities. Joan has made four mistakes in her diagram. Write down any three of them.
Answers
Answer:
Step-by-step explanation:
Properties of a bar graph:
1). There should be equal space between the bars or the columns.
2). Width of each bar or columns should be same.
3). All bars should have same base.
4). Height of each bar will show the value of the data.
By these properties,
- Space between London-Paris, Rome-Oslo are not equal.
- Width of Munich bar is different from other bars.
Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost? What equation would you use to solve this problem?
Answers
Answer:
$2
Step-by-step explanation:
24-10=14
14/7=2
Answer:
Each pencil costed $2
Step-by-step explanation:
She bought 7 pencils at $2 7x2=14
24-14=10
which number is an interger
Answers
Answer:
Any number that is a whole number not a fraction or decimal
Step-by-step explanation:
Solve each equation (steps as to how appreciated)
Answers
Answer:
{10, -8} (A)
Step-by-step explanation:
Since it is absolute value, n-1 can equal both 9 or -9.
First you solve for n-1=9. That would make n=10
Then you solve for n-1= -9 .That would make n=-8
Answer:
A) {10, -8}
Step-by-step explanation:
Since it is absolute value, you must split it into two equations:
n-1=9
n-1=-9
Now solve for n in both equations
n=10
n=-8
Therefore, the answer is A
Please help me Solve -x/3 >5
Answers
Answer:
I think its D. im not sure.
2 - Integrated Math 1 - 2019
euseneck in
Space is a way of joining together points, lines, and
A. more space
B. planes
C. symbols
D. thickness
Please select the best answer from the choices provided
СА
B
С
D
Answers
How many milliliters are 30 teaspoons? 1 tsp=5mL
Answers
Answer:
Step-by-step explanation:
1 ts = 5 ml
5*30 =150
30 ts=150 ml
Write an inequality that compares 3 and 5
Answers
Answer:
3 < 5
Step-by-step explanation:
3 < 5
We can write this inequality, because three is less than five, and < means less than.
An inequality is a mathematical sentence which
states that two expressions are not equal.
The "<" symbol means less than.
Since 3 is less than 5, we can write this as 3 < 5.
Take a look below I have attached the same problem
and an additional one to show you.
What is the difference between the highest and lowest points in a data set?
the mean
the median
the mode
the range
Answers
Answer:
range
Step-by-step explanation:
difference between the highest and lowest points in a data set = range
The mean is the average of all the points
The median is the middle of all the points
The mode is the point the appears the most often
"Hey diddle diddle the medians the middle you add and divide for the mean the mode is the one that you see the most and the range is the difference between"
Online song that's helped me remember the difference between median, mode, mean and range for years!
Mark has 1/2 pound of chocolate chips to make chocolate chip cookies. He needs 1/6 pound chocolate chips for one batch of cookies. How many batches of cookies can he make?
Answers
Answer:
3 batches
Step-by-step explanation:
First simplify 1/2 into 3/6
which into 1/6 makes three which means Mark can make 3 batches of cookies.
(If Mark had a full pound he could make 6 batches of cookies)*
Have a good day. :)
Hope this helps!
(brainliest would be appreciated)
Answer:
3 batches
Step-by-step explanation:
An architect is making a plan for a new circular playground. If the picture below is the playground, how much fencing needs to go up to keep the kids in the circle? ⬇⬇⬇
Answers
Answer:
Length of the fencing required = 201.06 meters
Step-by-step explanation:
Architect is planning a circular playground with diameter = 64 m
We have to calculate the fencing required to cover this playground.
Length of fencing = circumference of the playground
Since circumference of a circle = π × (Diameter)
= 64π
= 201.06 meters
Therefore, length of fencing required to keep the kids in a circle will be 201.06 meters.
What is the equation of the line with a slope of –3 and a y-intercept of 4?
Answers
Answer:
y=-3x+4
y=mx+b
m is the slope
b is the yint
Answer:
y= -3x+4
Step-by-step explanation:
Please answer correctly !!!!! Will mark brianliest !!! And click on the photo to answer the question !!!
Answers
Answer:
36
Step-by-step explanation:
Let Brandon's age be b. We can write 4b = b + 27 which gives us b = 9. Because Michael is 4 times as old as Brandon, he is 9 * 4 = 36 years old.
Answer:
36
Step-by-step explanation:
Micheal is 4 times as old as Brandon.
y = 4x
Micheal is also 27 years older than Brandon.
y = x +27
Y represents Micheal's age, and x represents Brandon's age.
Since both equations above are equal to the same value, y, you can set the two equations equal to each other. Solve for x.
4x = x + 27
3x = 27
x = 9
Brandon is 9 years old.
Plug Brandon's age into one of the equation to solve for Micheal's age.
y = x + 27
y = 9 + 27
y = 36
Micheal is 36 years old.