Can someone please help me with this question they are 2 different questions, separate them please I need them right now ):
Answers
7.- BC = 22
8.- EF= 8
Explanation
I don’t really now how to explain this in English but I’ll try.
Since both triangles are congruent, you just have to take the similar segments. For question 7, BC and EF are similar, so you write it down as a division, then you have to equally to the adjacent segments, in this case will be AB/ DE
BC/EF = AB/DE
Then you only have to multiply them in cross, so it would be
BC*DE = EF*AB
U will have function and now u have to find x (cabin this case represents the length of the BC segment)
x*5 = 10*11
Now u clear the x, and it gonna look like
x= 10*11/5
U solve that and the answer is 22
I’ll attach some images in case u don’t understand
Answer:
7. [tex]BC=22[/tex]
8. [tex]EF=8[/tex]
Step-by-step explanation:
7.
It is given that triangle (ABC) is similar to triangle (DEF). This means that triangle (DEF) is a scaled version of the triangle (ABC). Between these two triangles, there is a ratio. This ratio referred to as the ratio of similitude, is a factor that one multiplies a side of the triangle by, to get the length of the corresponding side in the other triangle. This number can be found by dividing the corresponding sides in the triangle.
As per the given picture, side (AB) corresponds to side (DE). Therefore divide side (AB) by (DE) to find the ratio of similitude,
[tex]\frac{AB}{DE}=\frac{10}{5}=2[/tex]
Multiply side (EF) by the ratio of similitude to find the length of its corresponding side (BC).
[tex]2(EF) = 2(11) = 22[/tex]
[tex]BC=22[/tex]
8.
The triangles (ABC) and (DEF) are similar. One can use the same logic applied to the last problem to solve this problem. For further reference, read the intro written to explain the process used to solve the problem (7).
One can see that sides (AB) and (DE) are corresponding sides, divide (DE) by (AB) to find the ratio of similitude;
[tex]\frac{DE}{AB}=\frac{4}{6}=\frac{2}{3}[/tex]
Now multiply this number by side (BC) to find the length of the corresponding side (EF);
[tex](BC)*\frac{2}{3}=EF\\12*\frac{2}{3}=EF\\8=EF[/tex]
Related Questions
The random variable X is normally distributed with mean of 80 and variance of 36. The 67th percentile of the distribution is
Answers
Answer:
82.64
Step-by-step explanation:
Mean = 80 ; σ² = 36 ; σ = √36 = 6
Using the relation :
P(Z < x) = (x - mean) / standard deviation
P(Z < x) = 0.67
Z = invNorm(0.67) = 0.44
Hence,
0.44 = (x - 80) / 6
Cross multiply :
6 * 0.44 = x - 80
2.64 = x - 80
2.64 + 80 = x
82.64 = x
Hence, X = 82.64
Find the slope of the line passing through the points (3,16) (8,18)
A) 2/5
B)-5/2
C)5/2
D)-2/5
Answers
Answer:
2/5
Step-by-step explanation:
Slope of line is also called the gradient of line.
The formula of gradient of a straight line is always (y1-y2)/(x1-x2)
Lisa rectangular living room is 20 feet wide if the length is 6 feet less than twice the width what is the area of a living room
Answers
Answer:
Step-by-step explanation:
20 * ((2*20)-6)
20*34
680
Aryav has 3,974 baseball cards. He wants to put them in collector sheets that hold 32 cards per sheet. How many sheets does Aryav need for his entire collection?
What can they do with the remainder?
Pls try to answer both questions.
Answers
Answer:
he will need 125 college tor sheets
3,974 / 32 =124.1875
I'm not sure about the second part its a little unclear.
Answer:
Step-by-step explanation:
3,974 / 32 = 124 R 6
I think they should give the remainder (6) away to other people or keep it and put it somewhere...
Product of [x y] [1 2] is
Answers
Answer:
12xy
Step-by-step explanation:
Product of [x y] [1 2] is
(xy)×(12)=12xy
Write the equation of the ellipse 4x^2+9y^2+72x+108y+612=0 in standard form.
Answers
Answer:
(x+9)^2 + (y+6)^2
9 4 =1
Step-by-step explanation:
I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.
ayudaaaaa por favor
Answers
Answer:
La respuesta es treinta coma seis.
Espero que esto ayude.
On a map of a campground, the distance between the general store and the highway is 5 cm. If 1cm = 500m on a map, what is the actual distance in kilometers between the general store and the highway?
Answers
Answer:2500
Step-by-step explanation:5 x 500 = 2500
When reaching mile marker 6 on the trail, Randy uses his GPS to find that his current elevation is 6220 feet. If he follows the trail until its end at mile marker 13, his elevation will be 8390 feet. What is the average change in elevation of Randy's position from mile marker 6 to mile marker 13, in feet per mile marker?
Answers
Answer:
310 feet per mile marker
Step-by-step explanation:
The average change will be the difference in elevation over the difference in mile markers. Randy’s elevation changed from 6220 feet to 8390 feet, which is a difference of
8390-6220=2170 feet. He started tracking at mile markers 6 to mile markers 13, which is a difference of
13-6=7 miles markers. The average change in elevation is 2170 feet / 7 mile markers = 310 feet per mile marker.
- Mona Allen wants to buy a bed that costs $695. The city sales tax rate is 7%. In a nearby city the sales tax rate is 4%. How much less would the bed cost if Mona bought it in the nearby city?
Answers
Answer:
$20.85 less.
Step-by-step explanation:
City sales:
7% tax = 48.65
total bed cost = $743.65
Nearby City:
4% tax = 27.8
total bed cost = $722.8
city sale - nearby city
743.65 - 722.8
=20.85
Graph the slope Y=1/7x+1
Answers
The 1 in y = 1/7x+1, is the y-intercept. Its coordinates are (0,1). 1/7 means you are going up 1 and to the right 7, since it's positive.
On a graph, it looks like the graph above.
Convert 8 1/6 into an improper fraction
Answers
Answer:
49/6
Step-by-step explanation:
8×6= 48
+ the numerator
The mixed fraction number in the form of an improper fraction will be 49/6.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The mixed fraction number is given below.
⇒ 8 ¹/₆
Convert the mixed fraction number into an improper fraction. Then we have
⇒ 8 ¹/₆
⇒ 8 + 1/6
⇒ (48 + 1) / 6
⇒ 49 / 6
The mixed fraction number in the form of an improper fraction will be 49/6.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
PLEASEEEE HELPPP IM BEING TIMEDDD WILL GIVE BRAINLIEST AND POINTS
Choose the polynomial written in standard form.
xy2 + 4x4y + 10x2
x4y2 + 4x3y + 10x
x4y2 + 4x3y5 + 10x2
x6y2 + 4x3y8 + 10x
Answers
Answer:
Can you please organize them so that the exponents are marked as x^2?
Step-by-step explanation:
To me, none of this is in standard form because the numbers are before the variables.
In a given triangle, side "a" is 7 inches long and side "b" is 24 inches long. The length of side "c" is
Answers
Answer:
25
Step-by-step explanation:
the formula for the hypotenuse of a triangle is
a^2+b^2=c^2
plug in what we know
7^2+24^2=c^2
49+576=c^2
625=c^2
c=25
hope this helps
The perimeter of a square piece of gold is 28 millimeters. How long is each side?
Answers
Answer:
7 millimeters
Step-by-step explanation:
Perimeter is the distance around an object.
The object is a square so all sides are equal. This means that we can do 28mm / 4 and get our answer of 7 millimeters.
1. If segments MN, NO, and MO are tangent to circle P, find x.
70
x
•Р
2 m
M
N
-10 m
2 m
5 m
6 m
8 m
Answers
Answer:
Step-by-step explanation:
8m
The quality assurance engineer of a receiving-sets manufacturer inspects receiving-sets in lots of 50. He selects 4 of the 50 receiving-sets at random and inspects them thoroughly. Assuming that 5 of the 50 receiving-sets in the current lot are defective, find the probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.
Answers
Answer:
0.0430 = 4.30% probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.
Step-by-step explanation:
Sets are chosen from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[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]
In this question:
Lots of 50 means that [tex]N = 50[/tex]
5 are defective, which means that [tex]k = 5[/tex]
4 are selected, which means that [tex]n = 4[/tex]
Find the probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.
This is [tex]P(X = 2)[/tex]. So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,50,4,5) = \frac{C_{5,2}*C_{45,2}}{C_{50,4}} = 0.0430[/tex]
0.0430 = 4.30% probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.
-7 2/3 + ( -5 1/2) + 8 3/4 =
Answers
Answer:
- 53/12
Step-by-step explanation:
See the image below:)
Solve the equation 18 = 3 + 5x for x.
OA) 1
OB) 2
O C) 3
OD 4
Answers
Step-by-step explanation:
18 = 3 + 5x
15=5x
x=15/5
x=3
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C) \:x\:=\:3}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]18 = 3 + 5x[/tex]
➺[tex] \: 5x = 18 - 3[/tex]
➺[tex] \: 5x = 15[/tex]
➺[tex] \: x = \frac{15}{5} [/tex]
➺[tex] \: x = 3[/tex]
[tex]\sf \bf {\boxed {\mathbb {To\:verify:}}}[/tex]
[tex]18 = 3 + 5x[/tex]
➺[tex] \: 18 = 3 + 5 \times 3[/tex]
➺[tex] \: 18 = 3 + 15[/tex]
➺[tex] \: 18 = 18[/tex]
➺[tex] \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Lexie started her homework at 4:30 P.M. She finished at 5:05 P.M. How many seconds did it take her to finish her homework?
Answers
Answer:
2100 seconds
Step-by-step explanation:
4:30 P.M. → 5:05 P.M. there are 35 minutes in between.
1 minute = 60 seconds
35 minutes × 60 seconds = 2100 seconds
Determine whether the given description corresponds to an observational study or an experiment.
A quality control specialist compares the output from a machine with a new lubricant to the output of machines with the old lubricant.
Answers
Answer:Good luck hopefully somebody answer your question
Step-by-step explanation:
The numbers 24, 22, 34, 28, 29, 24, 25 29, a and b have a median of 27 and a mode of 29. Given that a
Answers
Answer: Median is 26,5 and modes are 24 and 29
Step-by-step explanation: In increasing order numbers are
22, 24 24, 25 , 28, 29 , 29 , 34. Because amount of number is even
median is (25 + 28) / 2 = 26,5 and modes are 24 and 29 because both
numbers exist twice
Which expression is equivalent to square root 8x^7y^8?
Answers
Answer: 2x^3y^4 sqrt 2x or C on edge
Step-by-step explanation:
If taina makes 5 dollars a hour for babysitting, and babysat for 5 hours on monday how much money did she make?
Answers
Answer:
25
Step-by-step explanation:
Take the amount earned per hour and multiply by the number of hours to determine the total amount earned
5 * 5 = 25
Answer:
25 dollars on monday
Step-by-step explanation:
5 dollars an hour times 5 hours
5x5=25
y=3x+2
y=3x−6
how many solutions does the system have
Answers
Answer:
no solutions
Step-by-step explanation:
The lines are parallel since they have the same slope
y = mx+b where m is the slope
They have different y intercepts (b)
The will never intersect so they have no solutions
f(x) = 2x^2 – 3x - 9
g(x) = 4x^2 – 9
Find (f/g)(x)
Answers
Answer:
i dont get it sorry
Step-by-step explanation:
How many lines intersect at point O?
A.2
B.1
C.4
D.3
Answers
Answer:
C. 4 because line o serve as the vertex for each angle there.
If you know how to solve this, Please answer it. Thank You
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
Answers
Answer:
48
Step-by-step explanation:
x1 = 20 ; y1 = 12
x2 = ? ; y2 = 5
[tex]\frac{x_{1}}{x_{2}}=\frac{y_{2}}{y_{1}}\\\\\frac{20}{x_{2}}=\frac{5}{12}\\\\20 *12 = x_{2}*5\\\\\frac{20*12}{5}=x_{2}\\\\4*12=x_{2}\\\\x_{2}=48[/tex]
What is the percent change from 40 to 55? Show calculations and final answer. Round to the nearest percent.
Answers
Answer:
73%
Step-by-step explanation:
40/55 x 100
= 72.72727273
Rounded = 73%
Hope this helps!
You roll a standard number cube. Find P (number greater than 5)
Answers
Answer:
1/6
Step-by-step explanation: