7. Are the two triangles similar? How do you know? I need this answered quick plz
Answers
Answer:
Yes, by the angle angle rule.
Step-by-step explanation:
In the first triangle,
m<C=60 degrees, and m< D=53 degrees. You know that the sum of angles in a triangle add up to 180 degrees, so solve for E. m<E= 67 degrees.
In the second triangle,
m<F=60 degrees and m<H=67 degrees.
Since both triangle have two congruent angles, you can say that the two triangles are similiar by the AA rule.
Both triangle CDE and triangle FGH are similar to each other.
Similar figures
Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. All the corresponding angles of similar figures are congruent.
∠C + ∠D + ∠E = 180° (angles in a triangle)
60 + 53 + ∠E = 180
∠E = 67°
∠C = ∠F, ∠D = ∠G, ∠E = ∠H, hence both triangles are similar.
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Related Questions
Using the distributive property what is 5(2y +1) in simplest form?
Answers
Answer:
5(2y +1)
Step-by-step explanation:
simplest form =10y+5
Marta practices the long jump. She jumps the same distance on her first four jumps. Her last two jumps are 1 1/2 feet longer than her first four jumps. Her average jumps distance is 16 feet. The equation below represents the situation, where j is the distance of each of Marta's first four jumps.
4j + 2(j+ 1.5)=16
-----------------
6
What is the distance of each of Marta's first four jumps? show work plz.
Answers
Answer:
The distance of each of Marta's first four jumps is of 15.5 feet.
Step-by-step explanation:
Average:
The average of a data set is given by the sum of all elements of the data set divided by the number of elements in the data set.
Marta's jumps:
First four of j.
Lax six are 1 1/2 feet longer = 1.5 feet longer, so j + 1.5.
Six jumps, average of 16.
What is the distance of each of Marta's first four jumps?
This is j. So
[tex]\frac{4j + 2(j + 1.5)}{6} = 16[/tex]
[tex]4j + 2j + 3 = 96[/tex]
[tex]6j = 93[/tex]
[tex]j = \frac{93}{6}[/tex]
[tex]j = 15.5[/tex]
The distance of each of Marta's first four jumps is of 15.5 feet.
Philip runs at an average speed of 4 m/s.
How long will it take Philip to complete a 10 kilometre race? Give your answer in minutes and seconds.
Answers
Answer:
41 minutes 40 seconds
Step-by-step explanation:
10km = 10000m
10000/4 = 2500 seconds
2500/60 = 41.6666...
Hence, 41 minutes 40 seconds.
To solve such type of problems in math's we must know the formula related to motion specifically speed. The time taken for Cameron to complete the race is 2500s
What is time of motion?When any object cover a particular distance with particular speed then it takes a particular time and this time is called time of motion. The unit of time can be seconds, minutes or hours.
The time of motion is calculated as follows;
time = distance/speed
As distance is given in kilometer so we need to convert kilometer to meter as our speed is in meter per second, so to cancel out the units we must do the conversion and the substituting the values in the above formula
time = 10000/4
time = 2500s
Thus, the time taken for Cameron to complete the race is 2500s when average speed is 4 m/s
Learn more about time of motion, here:
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drag and drop the unit rate for each size of peanut butter into the correct box to complete the statements
Answers
Answer:
A regular one costs $0.27 and family costs $0.13.
Step-by-step explanation:
Just divide $2.43 with 9 and then do the same with the family one.
Answer:
Reg- 0.27 Family-0.13
Step-by-step explanation:
A chef is preparing food for a group of 21 people. He uses a recipe that calls for 4 tomatoes
to serve six people. Since the number of tomatoes is directly proportional to the number of
people being served, how many tomatoes would he need to serve this group?
A 4
B5
C 12
D 14
Answers
Answer:
D: 14
Step-by-step explanation:
since the proportion is already 4:6, so you want to divided it by 2, so it will become 2:3, then multiply it by 7, so thats how i got 14 tomatoes for 21 people
Please help, you get 20 points for this!
Answers
Answer:
2.15 times or 215%
Step-by-step explanation:
V(Luxor) = (646)² · 350/3
V(Tower) = 290 x 125 x 622
V(Luxor) ÷ V(Tower) = 2.15
pls help :(
more than one answer btw
Answers
Answer:
A, C, E
Step-by-step explanation:
hope this helps!
Answer:
I think it is A, C, E
Step-by-step explanation:
I don’t understand, help me out
Answers
Answer:
a. 76 b. 52
Step-by-step explanation:
The perimeter of a rectangle is the sum of its four sides.
Now all rectangles have a width and a length.
To find the perimeter it is 2 width + 2 length or 2W +2L.
So if the Perimeter P = 344 and Width W = 76 and P = 2W + 2L
Then...
2(76) + 2L = 344 multiply 2 and 76
2L + 152 = 344 subtract 152 from both sides
2L = 192 divide both sides by 2
L = 96
The length is 96.
The equation of an area of a rectangle is A or area = width x length or W x L
So the equation is A = W x L
If the area is 4732 and the length is 91 then
91W = 4732 divide both sides by 91
W = 52
The width is 52.
Hope that helps, good luck with your homework!
The measure of one angle is 80 degrees. What is the measure of its supplement? A 80 degrees B 100 degrees C 10 degrees D I don't know
Answers
Answer:
B. 100 degrees
Step-by-step explanation:
do yall know what 81 ➗ 918 =
if yall know ill give brainleist
Answers
A study found that 52% of people
chose pepperoni as one of their top
three pizza toppings. Of 846
people, about how many would
choose pepperoni as a favorite
pizza topping?
A. 440
C. 452
B. 450
D. 458
PLEASE HELP THIS IS WORTH 40 POINTS
Answers
Answer:
439.32 (so 440)
Step-by-step explanation:
52% of people, and there are 846 people. what is 52% of 846? 439.32 and you round up.
A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as retention incentive and guaranteed placement programs) and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 92.4% for the medical students admitted through special programs.
Required:
a. If 12 of the students from the special programs are randomly selected, find the probability that at least 11 of them graduated.
b. If 12 of the students from the special programs are randomly selected, find the probability that exactly 9 of them graduated.
c. Would it be unusual to randomly select 12 students from the special programs and get exactly 9 that graduate?
Answers
Answer:
a) 0.7696 = 76.96% probability that at least 11 of them graduated.
b) 0.0474 = 4.74% probability that exactly 9 of them graduated.
c) Since 9 is less than 2.5 standard deviations from the mean, it would not be unusual.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they graduated, or they did not. Each student is independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Unusual outcome:
An outcome in the binomial distribution is unusual if it is more than 2.5 standard deviations from the mean.
92.4% for the medical students admitted through special programs.
This means that [tex]p = 0.924[/tex]
a. If 12 of the students from the special programs are randomly selected, find the probability that at least 11 of them graduated.
This is [tex]P(X \geq 11)[/tex] when [tex]n = 12[/tex]. So
[tex]P(X \geq 11) = P(X = 11) + P(X = 12)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 11) = C_{12,11}.(0.924)^{11}.(0.076)^{1} = 0.3823[/tex]
[tex]P(X = 12) = C_{12,12}.(0.924)^{12}.(0.076)^{0} = 0.3873[/tex]
[tex]P(X \geq 11) = P(X = 11) + P(X = 12) = 0.3823 + 0.3873 = 0.7696[/tex]
0.7696 = 76.96% probability that at least 11 of them graduated.
b. If 12 of the students from the special programs are randomly selected, find the probability that exactly 9 of them graduated.
This is P(X = 9). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 9) = C_{12,9}.(0.924)^{9}.(0.076)^{3} = 0.0474[/tex]
0.0474 = 4.74% probability that exactly 9 of them graduated.
c. Would it be unusual to randomly select 12 students from the special programs and get exactly 9 that graduate?
The mean number of students expected to graduate is:
[tex]E(X) = np = 12*0.924 = 11.09[/tex]
The standard deviation is
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{12*0.924*0.076} = 0.92[/tex]
11.09 - 2.5*0.92 = 8.79
This means that anything below 8.79 is unusual, so, since 9 is less than 2.5 standard deviations from the mean, it would not be unusual.
Find the opposite, or additive inverse of 3.7
Answers
Answer:
-3.7
Hope that helps!
Step-by-step explanation:
Expiation!
8(x - 1) - 4 = 4(2x - 3)
Answers
Answer:
All real numbers.
Step-by-step explanation:
8x-8-4=8x-12
8x-12=8x-12
All real numbers
I need help please help me solve the the table
Answers
Answer:
cool
Step-by-step explanation:
Ahmed uses the greatest common factor and the distributive property to rewrite this sum:
99 + 66
Answers
Answer:
165
Step-by-step explanation:and if u add them together and line them up correctly you will get the answer
11(9 + 6) will be the greatest common factor and the distributive property to rewrite this sum as 99 + 66.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given that,
⇒ 99 + 66
The highest common factor among both is 15
⇒ 11(9 + 6)
Hence " 11(9 + 6) will be the greatest common factor and the distributive property to rewrite this sum as 99 + 66".
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Solve.
The number line shows xx
3
ODIO
AN
1
a.
Each fourth on the number line is divided into
how many equal parts?
b. Each of these parts is what fraction of the whole?
C.
How many eighths of the whole are shaded?
d. -
X
Answers
Step-by-step explanation:
answer for d is 3 over 8....
that's all I know from the qn and can help u... sorry
Need help with this
Answers
Answer:
A
Step-by-step explanation:
3.
What is the area of a circle with a circumference of 100.48 yd? Use 3.14 for n.
O 32.0 yd2
200.96 yd2
O 100.48 yd2
803.84 yd2
Answers
Answer:
032.0 yd2 de nada corona por favor
Solve 4x+x+4 = 8x -3x + 4
Answers
Answer:
x ∈ R
Step-by-step explanation:
4x+x+4=8x−3x+4
Combine 4x and x to get 5x.
5x+4=8x−3x+4
Combine 8x and −3x to get 5x.
5x+4=5x+4
Subtract 5x from both sides.
5x+4−5x=4
Combine 5x and −5x to get 0.
4=4
Compare 4 and 4.
True
This is true for any x.
x ∈ R
This month you make $3,881 from liquor salesfrom food, and from your gift shop. your monthly sales goal is $25,000, did you meet your goal?
Answers
Answer:
No
Step-by-step explanation:
If you add all the sales you do not meet your goal of $25,000
If the measures of two angles of a triangle are 96 and 17°, what is the measure of the third angle
Answers
96+17=113
180-113=67
A company has to buy computers and printers. Each computer, x, costs $560 and each printer, y, costs $340. If the company spends $6,540 and buys a total of 16 machines, how many of each did it buy?
Enter a system of equations to represent the situation, then solve the system.
The system of equations is __________ and ____________.
The company bought __________computers and _________printers.
Answers
Answer:
yrsdhhdjdbzbdvbs. Es 560
A bakery bakes small, medium and large pies the ratio small medium large 3:5:2 one day 460 medium pies are baked work out how many small pies are baked
Answers
Answer:276
Step-by-step explanation:cba
n/8 = 11/5 what is n?
Answers
Answer:
n = 88/5
Step-by-step explanation:
Clear out the fractions by multiplying both sides by 8:
n = 88/5
a wagon is pulled at speed of 40.0 m/s by a horse exerting 1800 newton horizonal force what is the power of horse
Answers
Answer:
The power of horse is: P = 72000 W
Step-by-step explanation:
Given
F = 1800 Nv = 40.0 m/sTo determine
P = ?
Using the formula
[tex]\:\:\:P=\overrightarrow{F\cdot }\overrightarrow{v}[/tex]
The ⋅ in the formula represents a scalar product, defined by:
[tex]\overrightarrow{v\cdot }\overrightarrow{w}=|v||w|cos\:\theta[/tex]
The angle Ф is zero because F and v are are parallel.
Thus the cosine is 1.
Therefore,
P = (1800) (40.0)
P = 72000 W
Hence, the power of horse is: P = 72000 W
what does N represent in 25% of n =3
Answers
Answer:
hello! :) have a good day!
N = 12
(9/8) to the power of 2; can some give me the answer quick please.
Answers
Answer:
(9/8)²=
81/64.
...........................
Identify the graph of f(x) = 4^x
Answers
Answer:
its the first one/top left
Step-by-step explanation:
PLEASE HELP ASAP
The perimeter of a playing field for a certain sport is 304 ft. The length is 50 ft longer than the width. Find the dimensions.
The width of the playing field is
ft.
Answers
Answer:
Width = 51 ft
Step-by-step explanation:
Use the perimeter formula and add on additional information. Use a variable to form the equation.
P = 2L + 2W
304 = 2(x+50) + 2(x)
Then, simplify the expression.
304 = 2x + 100 + 2x
304 = 4x + 100
204 = 4x
51 = x
This means that the length is 101 ft and the width is 51 ft.
Answer:
P = 2 l + 2 w
304 ft = 2 x 50 ft + 2 w
= 100 ft + 2w
2w = 204 ft
w = 102 ft
ANSWER: width is 102 ft