Find measure of angles B, E, D and C and the length of BC.
Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.
Answers
Answer:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
Answer:
<D = 30
< C = 65
<B = <E = 85
16 = BC
Step-by-step explanation:
ABC ~ Triangle DEF
<A = <D = 30
< C = <F = 65
Since they are similar triangles
A+ C + B = 180 since the angles of a triangle = 180
30+65+B =180
95+ B = 180
<B = 180 -95 = 85
<B = <E = 85
The triangles are similar so the sides are proportional
AB BC
---- = ---------
DE EF
20 BC
---- = ---------
35 28
Using cross products
20*28 = 35 BC
Divide each side by 35
20*28/35 = 35/35 BC
16 = BC
Related Questions
A booth at the mall sells Insulated
mugs and tumblers. The booth
made $880 by selling 8 mugs and
17 tumblers yesterday. If the price
of a tumbler is $15 more than the
price of a mug, what is the price of
each item?
Answers
Answer:
25 (price of 1 mug)
40 ( price of 1 tumbler)
Step-by-step explanation:
15 x 17 = 255
880 - 255 = 625
625 ÷ (17+8) = 25 (price of 1 mug)
25+15 = 40 ( price of 1 tumbler)
The heights of male students are normally distributed with a mean of 158 cm and a
standard deviation of 5 cm.
Find the percentage of male students who are between 145 cm and 170 cm.
Round your
answers to the nearest hundredths.
Answers
Answer: The percentage of male students who are between 145 cm and 170 cm = 98.71%
Step-by-step explanation:
Let x denotes the height of male students.
As per given,
[tex]\mu=158,\sigma=5[/tex]
The probability of male students who are between 145 cm and 170 cm
= [tex]P(145<X<170)[/tex]
[tex]=P(\dfrac{145-158}{5}<\dfrac{X-\mu}{\sigma}<\dfrac{170-158}{5})\\\\=P(-2.6<Z<2.4)\\\\=P(Z<2.4)-P(Z<-2.6)\\\\=P(Z<2.4)-(1-P(2.6))\\\\=0.9918-(1-0.9953)\\\\= $$0.9871[/tex]
Hence, the percentage of male students who are between 145 cm and 170 cm = 98.71%
41. Suppose a laboratory has a 60 g sample of polonium-210. The half-life of polonium-210 is about 138 days.
a. How many half-lives of polonium-210 occur in 828 days?
b. How much polonium is in the sample 828 days later?
a. 6; 0.94 g
c. 6; 10 g
b. 7;0.47 g
d. 6; 4,140 g
ettings
Answers
828 / 138 = 6
60 x 0.5^6 = 0.9375
Carlos drove 8x + 13 miles in two
days. If he drove 3x + 5 miles on the
first day, how many miles did he drive
on the second day?
Answers
Answer:
5x+8
Step-by-step explanation:
Answer:5x+8
Step-by-step explanation:
8x+13
-3x
5x+13
-5
5x+8
f^3+11g-4hf 3 +11g−4hf, cubed, plus, 11, g, minus, 4, h when f=3f=3f, equals, 3, g=2g=2g, equals, 2 and h=7h=7h, equals, 7.
Answers
Given:
The expression is:
[tex]f^3+11g-4h[/tex]
The given values are [tex]f=3,\ g=2,\ h=7[/tex].
To find:
The value of the given expression for the given values.
Solution:
We have,
[tex]f^3+11g-4h[/tex]
After substituting [tex]f=3,\ g=2,\ h=7[/tex], we get
[tex]f^3+11g-4h=(3)^3+11(2)-4(7)[/tex]
[tex]f^3+11g-4h=27+22-28[/tex]
[tex]f^3+11g-4h=49-28[/tex]
[tex]f^3+11g-4h=21[/tex]
Therefore, the value of the given expression is 21.
The three straight paths, AB,BC,AC, meet each other at three points, A,B, and C. How do these points of intersection differ from each other?
Answers
Answer:
See Explanation
Step-by-step explanation:
The Three Straight paths intersect at different angles or we can say that, the amount required to turn one path onto the other path is different for each vertex. Thus, the largest angle is opposite to the longest side and the smallest angle is opposite to the shortest side.And if all the three points of intersection look the same, the result is a triangle with three equal angles and three equal sides.multiply the following using the vertical multiplication method: 3x^2+5x+1×x^2-2x+4
Answers
__________________________
Step 1: Combine 3x² and 1x² to get 4x²
Step 2: Combine 5x and -2x to get 3x
3x² + 5x + 1 × x² - 2x + 4
= 4x² + 5x - 2x + 4= 4x² + 3x + 4___________________________
Can someone explain how this is wrong? i just dont get it.
Answers
Reason: Abby started at 4y (which is the offset) So you do is 22-4 and it gives 18. So abby climbed 18 feet
Which is a quadratic equation?
a. y=x+9
b. y=2x-15
c. y=x^2+2x-7
d. y=x^3-x^2
Answers
Answer:
c. y=x^2+2x-7
Step-by-step explanation:
A linear function has the highest power of 1 (x)
A quadratic has the highest power of 2 (x^2)
A cubic has the highest power of 3 ( x^2)
a. y=x+9 linear
b. y=2x-15 linear
c. y=x^2+2x-7 quadratic
d. y=x^3-x^2 cubic
Quadratic Function is the equation that takes form of:
[tex] \large \boxed{y = a {x}^{2} + bx + c}[/tex]
where a, b and c both are real number and a ≠ 0.
The first and second choices are linear equation because it's in the form of y = mx+b.
The last choice is a cubic equation since it has the third degree x³.
Remember that the quadratic equation can be ax²+bx+c = 0 or y = ax²+bx+c only.
Answer
y = x²+2x-7Which outcome is most likely after a die is rolled?
A.
B.
A number greater than 6
A number less than 6
A number less than 3
A number less than 2
C.
D.
Answers
Answer:
a number less then 6 is the anser so the 1st one
Which number is a composite number?
A:17
B:37
C:13
D:63
Answers
Answer:
D. 63
Step-by-step explanation:
It has more than two factors. (composite)
Answer:
D. 63
Step-by-step explanation:
17 = 1 × 17
37 = 1 × 37
13 = 1 × 13
63 = 3 × 3 × 7
Which of these tables represents a function?
(Pleasee it's urgent!!!!)))
Answers
Answer:
laaa umm la w..............
pleaseeee helpp mee!!!!!
Answers
If I roll 3 Dice .. What is the probability that I roll, a Even Number, and Odd Number, and a number bigger than 3. (P even, odd and >3)
Answers
I need help with this question please
Answers
Answer:
angel BAC=CBD
BAC=43°because CBD also 43°
PLEASE HELP I REALLY NEED THIS ANSWERED, I NEED THE VOLUME OF BOTH CYLINDERS PLZ DONT USE AN ONLINE CALCULATOR THEY GIVE THE WRONG ANSWER
Answers
Answer:
[tex]\large\fbox{\green{\underline{Cylinder P :- \blue{ 794.0275 in ³}}}}[/tex]
[tex]\large\fbox{\green{\underline{Cylinder Q :- \blue{1,307.81 in³}}}}[/tex]
Step-by-step explanation:
Volume of cylinder = π × ( radius ) ² × h
1.) Here, radius = 4.25 in and height = 14 in.
Volume of cylinder = π × ( radius ) ² × height
substitute the values
Volume of cylinder P = 3.14 × ( 4.25 in ) ²×14 in.
now, simplify
= 3.14 × 18.0625 in²× 14 in.
= 3.14 × 252.875 in³
multiplying the value
= 794.0275 in³
[tex] \small \: \: \sf \: \fbox{ cirumference \: of \: cylinder \: P \: = {794.0275 in³}}[/tex]
2.) Here, radius = 7 in. and height = 8.5 in.
Volume of cylinder Q = π × ( radius ) ² × height
substitute the values
Volume of cylinder Q = 3.14 × ( 7 in )² × 8.5 in.
Simplify
= 3.14 × 49 in² × 8.5 in.
multiply the values
= 3.14 × 416.5 in³
[tex] \small \sf \fbox{Volume of cylinder Q = 1,307.81 in ³}[/tex]
Can someone help me out
Answers
Answer:
4 (100-250 words with a 100-word minimum)
You own a house with an appraised value of $300,000. Your equity in the home is $125,000. What is your mortgage balance?
Answers
Answer:
The mortgage balance is $175,000
Step-by-step explanation:
Remember: House value = equity + mortgage. Therefore,
$300,000 = $125,000 + mortgage balance
The mortgage balance is $175,000.
You might need:
Calculator
Kenji runs a channel where he uploads and shares videos that he makes. He noticed an exponential
relationship between how long his videos have been posted and the number of times each video has been
viewed.
Kenji took the natural logarithm for the numbers of views only, and he noticed a linear relationship
between the how long his videos have been posted and the transformed numbers of views
Here's the least-squares regression equation for the transformed data, where "time" represents days since
posting, and "views" is the number of views
In(views) = 0.81(time) + 3.15
According to this model, what is the predicted number of views on a video that's been posted for 3 days?
You may round your answer to the nearest whole number.
views
Show Calculator
Answers
Using the logarithmic function, it is found that the predicted number of views of the video after 3 days is of 57.
The function that represented the relationship between the time in days and the number of views is given by:
[tex]\ln{v} = 0.81\ln{t} + 3.15[/tex]
We want the number of views after 3 days, thus, [tex]t = 3[/tex], and we have to solve for v.
[tex]\ln{v} = 0.81\ln{3} + 3.15[/tex]
[tex]\ln{v} = 0.89 + 3.15[/tex]
[tex]\ln{v} = 4.04[/tex]
[tex]e^{\ln{v}} = e^{4.04}[/tex]
[tex]v = 57[/tex]
57 views.
A similar problem is given at https://brainly.com/question/24286043
Dan earns $9.50 per hour as a dishwasher. Determine the fewest number of hours he must work to earn
more than $408.
Answers
Answer:
43 hours
Step-by-step explanation:
[tex]\frac{y}{1} :\frac{408}{9.5}[/tex]
y × 9.5 = 408 × 1
9.5y = 408
9.5y ÷ 9.5 = 408 ÷ 9.5
[tex]y=42\frac{18}{19}[/tex]
43 hours
____ ___
9.50 9.50
X> = 42.9 or 43
So 43 hours
Leo is visiting New York City to see the Empire State building. He knows that the Empire State building is 1,484 feet tall. When he spots it, he stops and has to look up at an angle of 84.7 degrees to see the top. How far away from the base of the Empire State building is he?
Answers
find the measure of arc AC
Answers
Answer:
Step-by-step explanation:
Angle ABC is an inscribed angle intercepting arc AC. The rule is that the intercepted arc is twice the measure of the angle that intercepts it, so arc AC = 2(65) which is 130
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
77 - 2n
Step-by-step explanation:
77 is being subtracted by a number doubled. Therefore, 77 - 2n is the expression.
Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/4635862-77-decreased-by-twice-of-a-number.html
Judging by appearance, classify the figure in as many ways as possible.
Answers
Answer:
A. Quadrilateral, kite
Leo designs the skateboard ramp shown in the diagram. Type the height of the ramp (h), in inches. Round your answer to the nearest whole inch.
Answers
Answer:
h = 50 inches
Step-by-step explanation:
To find the value of h, we are to use the appropriate trigonometric ratio
The given angle faces the unknown length and that makes the unknown length the opposite side
The given side faces the right angle and that makes it the hypotenuse
The trigonometric ratio that connects the opposite and the hypotenuse is the sine
The sine of an angle is the ratio of the opposite side to the hypotenuse
Thus, we have it that;
sin 23 = h/129
h = 129 * sin 23
h = 50 inches
Margo borrows $200, agreeing to pay it back with 2% annual interest after 16 months. How much interest will she pay?
Answers
Answer:
$4
Step-by-step explanation:
2/100 x 200 = 4
Find the angle for this problem?
Answers
m(MLK)=130
m(MLK)=m(ZLK)+m(MLZ)
-> x+86+x+66=130
2x+152=130
2x = -22
x = -11
m(ZLK)=86-11=75
CAN SOMEONE GIVE A ANSWER ON THIS THE REAL ANSWER PLEASE THANK YOUUU ILL ADD DOUBLE THE POINTS
Answers
Answer:
138 degrees
Step-by-step explanation:
A straight line/angle is 180 degrees so subtract 42 degrees from that to get 138 degrees.
I explained as best and simple as I could, I hope I helped!!!
It is a supplementary angle which has a total of 180 degrees so if you take the given angle (42) and do 180-42 you get 138
find distance between (0,6) and (8,0)
with process.......
Answers
Answer:
answer to the question is 10 units..
Answer:
10 units
Step-by-step explanation:
(0 , 6) = (x1 , y1)
(8 , 0) = (x2 , y2)
distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
=[tex]\sqrt{(8 - 0)^2 + (0 - 6)^2}[/tex]
=[tex]\sqrt{8^2 + (-6)^2}[/tex]
=[tex]\sqrt{64 + 36}[/tex]
=[tex]\sqrt{100}[/tex]
=10 units
What is the slope of the line
Answers
Answer:
m = -1
Step-by-step explanation:
One can tell directly from the graph that the slope is negative.
Moving from (-2, 0) to (0, -2), we see x increasing by 2 units (this is the run) and y decreasing by 2 units (this is the 'rise'). The slope is m = -2/2, or m = -1.