Answers
Answer:
1. Not similar
2. Similar, ABC is similar to FED by SSS
Step-by-step explanation:
1. Not similar.
The interior angles of a triangle always have to add up to 180, and since the first triangle has angles 30 degrees and 90 degrees, you know the third angle will have to be 180 - 30 - 90 = 60 degrees.
The second triangle's third angle will have to be 50 degrees because 180 - 90 - 40 = 50 degrees.
Since the three angles of the triangle are not the same, they are not similar.
2. Similar, ABC is similar to FED by the SSS triangle similarity postulate.
First, AB is similar to FE because AB = 15 and FE = 5, so the scale factor is 3
Next, BC is similar to ED because BC = 9 and ED = 3, so the scale factor for these sides is also 3
Lastly, CA is similar to DF because CA = 12 and DF = 4, so the scal factor for this is also 3.
Since the scale factor for all of the sides is 3, these two triangles are similar.
Related Questions
I need help with these questions. Please show workings.
Answers
Answer:
see explanation
Step-by-step explanation:
∠ AOB = 360° - 264° = 96°
The altitude OM bisects ∠ AOB and the base AB
(a)
∠ MOB = 0.5 × 96° = 48°
Using the cosine ratio in right triangle MOB
cos48° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{OM}{OB}[/tex] = [tex]\frac{18}{r}[/tex] ( OB is the radius r of the circle )
Multiply both sides by r
r × cos48° = 18 ( divide both sides by cos48° )
r = [tex]\frac{18}{cos48}[/tex] ≈ 27 cm ( to the nearest cm )
(b)
Using the tangent ratio in the right triangle MOB
tan48° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{MB}{OM}[/tex] = [tex]\frac{MB}{18}[/tex] ( multiply both sides by 18 )
18 × tan48° = MB then
AB = 2 × MB = 2 × 18 × tan48° = 36 × tan48° ≈ 40 cm ( to nearest cm )
Activity
Dylan, Alan, Bruce, and Cecil are brothers. Dylan weighs d pounds. Alan weighs 3 pounds more than twice what Dylan weighs. Bruce weighs 12
pounds less than three times what Dylan weighs. If Cecil weighs the same as the combined weight of Bruce and Alan, what is Cecil's welght in
terms of Dylan's weight (d)?
Complete the steps below to solve this problem and others like it.
Part A
Alan weighs 3 pounds more than twice what Dylan weighs. Write an explession to represent Alan's weight in terms of Dylan's weight.
Answers
Answer:
Step-by-step explanation:
a=2d+3
b=3d-12
c=a+b so
c=2d+3+3d-12
c=5d-9
Answer:
2d + 3
Step-by-step explanation:
Dylan’s weight is d.
Twice Dylan’s weight is 2d.
Three pounds more than twice Dylan’s weight is 2d + 3.
So, the expression for Alan’s weight in terms of Dylan’s weight is 2d + 3.
A group of students go to the store to buy school supplies. If they buy three
binders and four notebooks, the bill will be $4.85. If they buy three binders and
ten notebooks, the bill will be $8.75. What is the cost of each binder and
notebook?
Answers
Answer: Binder = 75c notebook = 65c
Step-by-step explanation:
3b + 10n = 875
3b + 4n = 485
Subtracting gives:
6n = 390
390/6 = 65
n = 65
Substitute 65 into 3b + 4n = 485
3b + 260 = 485
3b = 485 - 260
3b = 260
b = 75
Anybody good in geometry and know how to do this? Free Brainliest and points!
Answers
Answer:
Step-by-step explanation:
That is a horizontal reflection about the vertical line x=2.
Answer:
the answer is B. reflection over y = 4
Step-by-step explanation:
help 8+x2=−12..im confused
Answers
Answer:
Step-by-step explanation:
No real solutions exist. Subtract 8 on both sides to get:
[tex]x^2=-20[/tex]
You cannot take the square root of a negative number without involving imaginary numbers.
Answer and Explanation
__________________________________________________________
-10__________________________________________________________
The answer is -10 because...
You need to multiply 2 by "x," and to find out what "x" is, we need to add...
[tex]2+-12[/tex]
__________________________________________________________
And if we add [tex]2[/tex] by [tex]-12[/tex], we get [tex]-10[/tex], which is our answer.
__________________________________________________________
and now, if we add [tex]-20[/tex] by [tex]8[/tex], we get [tex]-12[/tex], which is what the equation equals, and this is how we know it is correct.
__________________________________________________________
Hope this helps! :)
PLEASE I need help ASAP dye tonight please show work if you answer thank you so much
15 points
Answers
sorry wrong answer input
Answer:
You have to work backwards
C= sin^-1(9/16) = 34.22 For angle COpposite over hypot= tan(theta) tan(34.22)= (x+2)/(2x+3) So X = -0.11Noah was doing some homework and answer the following question 5.5• - 3/5 =
Answers
Answer:
-33/10 or -3.3
Step-by-step explanation:
Hi can someone help me pls
Answers
Answer:
7a^2 b
Step-by-step explanation:
Which of the polygons can always be classified as a rhombus?
a) Quadrilateral
b) Trapezoid
c) Rectangle
d) Square
Answers
Answer:
c
Step-by-step explanation:
6th grade math help me plzzzz
Answers
Answer:
1
Step-by-step explanation: Ellen
Answer:
(4) 7x+21
Step-by-step explanation:
Using the distributive property, 7(x+3) equals 7(x)+7(3), which can be simplified to 7x+21.
if 4 books cost $52, how much will 2 books cost?
Answers
Answer: 2 books would cost $26.
Step-by-step explanation:
4 books : $52 You need to get down to 2 books. Divide 4 by 2 and .............................................52 by 2.
2 books : $26
At the zoo the ratio of monkeys to gorillas is 5:1 if there were 20 monkeys how many gorillas would there be?
Answers
Answer:
4
Step-by-step explanation:
To get to 20 you have to multiply 5 by 4 so do the same with the 1 and multiply by 4 to make it proportional. 1 x 4= 4. There would be 4 gorillas
can yall plz help and show work
Answers
Answer:
#4: ≤
Step-by-step explanation:
In 2011, 39 people died by being struck by lighting, and 24 people were injured. There were l 310,000,000 people in the United States. What is the probability of being one of the people struck by lighting
Answers
Answer: 0.0000203%
Step-by-step explanation:
The total number of people struck by lightning includes both those who died and those who were injured:
= 39 + 24
= 63 people
Probability of being struck is:
= People struck / U.S. Population
= 63 / 310,000,000
= 0.0000203%
7. (3y2 – 4y + 1) + (-y2 + y - 2)
Answers
Answer:
2y2−3y−1
Step-by-step explanation:
hope this helps
Solve x^2 + 2x - 48 = 0
Answers
Answer:
x = - 8, x = 6
Step-by-step explanation:
[tex] {x}^{2} + 2x - 48 = 0 \\ \\ {x}^{2} + 8x - 6x - 48 = 0 \\ \\ x(x + 8) - 6(x + 8) = 0 \\ \\ (x + 8)(x - 6) = 0 \\ \\ x + 8 = 0 \: \: or \: \: x - 6 = 0 \\ \\ x = - 8, \: \: \: \: x = 6 \\ [/tex]
In a lab, 700 cells are present at the beginning of an experiment. During the first 7 hours,
the number of cells increased by 12% each hour.
Estimate the time when the number of cells is 1735.
Round answer to nearest whole hour.
Answers
Answer:
2 hours
Step-by-step explanation:
1=700
x=1735
1735=700x
1735/700
x=2.47
Answer:
Step-by-step explanation:
This is an exponential equation of the form, A=ar^t, where a is the initial amount and r is the common ratio or rate of growth and t is time. In this case.
A=700(1.12)^t and we want to find when A=1735
1735=700(1.12)^t
1735/700=1.12^t
ln(1735/700)=t(ln(1.12))
t=(ln(1735/700))/(ln(1.12))
t=8 hours
HELP ME! im not sure !
Answers
Answer:
193.2
Step-by-step explanation:
The way you would find the volume to a rectangular prism, is multiplying your length x width x height.
Ken answered correctly 42 of a 50-question test. What percent of the test did he answer correctly? A. 16% B. 42% C. 50% D. 84%
Answers
42/50=84
The answer is d. 84%
whats 6 divided by 2/3
Answers
Step-by-step explanation:
6 divided by 2/3 is 9
HOPE IT HELPS U
explanation:
What is m∠1?....................
Answers
answer is 147
hope that helped
Answer:
m∠1 = 147°
Step-by-step explanation:
triangle = 180°
117 + 30 = 147
180 - 147 = 33
line = 180°
180 - 33 = 147
m∠1 = 147°
solve this and show work
Answers
Answer:
1.71
Step-by-step explanation:
x/4 = 3/7
4 * 3 = 12
12/7 = 1.714285714285714
Rounded to the nearest hundreths, the answer is 1.71
pls help me i only got 5 minutes left
Answers
Answer:
C. if not c D.
good luck, i hope this helps :)
(also you might get more help if you post in the english category not math)
Please help due today
Answers
PLS HELP I REALLY NEED IT
Answers
Answer:
A.)
Step-by-step explanation:
5.7^2+3.2^2=42.73
Sqrt of 42.73=6.5
Given :
Length of leg in a triangle = 3.2 cm
Length of leg of another triangle = 5.7 cm
We know that :
[tex]\color{hotpink}\tt {hypotenuse}^{2} \color{plum} = {base}^{2} + {height}^{2} [/tex]
Which means :
[tex] = \tt {3.2}^{2} + {5.7}^{2} = {h}^{2} [/tex]
[tex] =\tt 42.73 = {h}^{2} [/tex]
[tex] =\tt \sqrt{42.73} = h[/tex]
[tex]\hookrightarrow\color{plum} \tt6.5 \: cm= hypotenuse[/tex]
Thus, the hypotenuse of this triangle = 6.5 cm
Therefore, the correct option is (A) 6.5 cm
Which sides are congruent in the diagram below?
Answers
Answer: The first option (A)
Step-by-step explanation:
Answer:
It is A.
Step-by-step explanation:
AC=DF, AB=DE
5+4(2 + 4)2
6+ 12 : 3 - (6 x 2)
12 -
(4+8) : 2
(6 + 1)2 – 2(3+6)
(8 + 9) – 10+ (2 + 3)?
Answers
Answer:
−72x2+18?
Step-by-step explanation:
help with hw plz also I already found x
Answers
Step-by-step explanation:
If you found x already just look for the triangle that equals 180 or whatever the total angle is for problem.
4. Obtuse 5. Right 6. Acute
7. Acute 8. Obtuse 9. Right
The length of a ribbon is 5 6 meter. Sun Yi needs pieces measuring 1 5 meter for an art project. What is the greatest number of pieces measuring 1 5 meter that can be cut from the ribbon? How much ribbon will be left after Sun Yi cuts the ribbon?
Answers
Answer:
5
Step-by-step explanation:
Hope this helps
what percentage of this 100 square grid is shaded?
Answers
Answer:
80 percent
20 for the first shaded multiply with 4 and its 80
About 80% I’d say
There’s 20 white blank spaces
100-20=80