A. Explain how you know that Triangle ABC is similar to Triangle A'B'C'. (use complete sentences and show all your work to get full credit)
B. If AC = 8, A'C' = 12, and AB = 20 what is the length of A'B'?
Answers
Answer:
A. Since the 3 angles in ∆ABC are congruent to the corresponding 3 angles in ∆A'B'C', therefore, ∆ABC is similar to ∆A'B'C'.
B. A'B' = 30
Step-by-step explanation:
A. Two triangles are said to be similar if their corresponding angles are congruent to each other.
To know whether ∆ABC and ∆A'B'C' are similar, let's find the measure of their angles each, and see if their corresponding angles are congruent to each other.
∆ABC:
m<A = 59°
m<B = 37°
m<C = 180 - (37 + 59) = 84°
∆A'B'C':
m<A' = 59°
m<B' = 180 - (59 + 84) = 37°
m<C' = 84°
As we can see,
Angle A is congruent to Angle A'
Angle B is congruent to Angle B'
Angle C is congruent to Angle C'
Therefore, since the 3 angles in ∆ABC are congruent to the corresponding 3 angles in ∆A'B'C', therefore, ∆ABC is similar to ∆A'B'C'.
B. AC = 8; A'C' = 12; AB = 20
Since ∆ABC is similar to ∆A'B'C', the ratio of their corresponding sides would be equal.
Therefore:
AC/A'C' = AB/A'B'
Plug in the values into the equation
8/12 = 20/A'B'
Cross multiply
A'B'*8 = 20*12
A'B'*8= 240
Divide both sides by 8
A'B' = 240/8
A'B' = 30
Related Questions
x·6−14=46
Answer asap!!!! thank you!!
Answers
Answer:
x=10
Step-by-step explanation:
[tex]6x-14=46\\6x=60\\x=10[/tex]
What is the slope and y-intercept of x/3= -y+2 and how?????
Answers
then you get -y equals 1/3x -2 so you have to flip the sign of the entire equation because you can’t have a negative line
so you get y = -1/3x + 2
the y-intercept is (0,2)
the slope is -1/3x (aka -x/3)
What is the dollar value of 2 pennies and 3 dimes? What is the dollar value of p
Dennies and d dimes?
Answers
Answer:
32 cents? This is a weird phrased question!
Step-by-step explanation:
(70 points) please answer this question and explain how you get the answer!!
Answers
Answer: -0.10
Step-by-step explanation:
there is a pattern because 2014 0.45, 2015 0.20, 2016 0.35, 2016 0.10.
Answer: -0.10
Step-by-step explanation:
because of the down fall
3(10 - x) = 21
30 -
21
30 - 3x
= 21
- 3x
- 3x
-9
=
X =
Answers
Answer:
x=3
hope this answers is ok na
Step-by-step explanation:
I am answering blanks left to right and top to bottom.
3x
30 30
-9
-3 -3
x = 3
You were billed $28.50 for additional data usage on your cell phone at a rate of $9 per gigabyte. Three choices are correct ways to calculate the additional gigabytes, g, that you used. Which choice is NOT?
Answers
Answer:
b.) 9/g = 28.5
Step-by-step explanation:
a.) 9g = 28.5
b.) 9/g = 28.5
c.) 28.5 = 9 x g
d.) 28.5/9 = g
Total billing = $28.50
Rate = $9 per gigabyte
Calculate the additional gigabytes, g, that you used.
Additional gigabyte used, g = Total billing / Rate
g = $28.50 / $9
9g = 28.50
28.50 = 9 × g
g = 28.50 / 9
Option b.) 9/g = 28.5 is the incorrect way to calculate the additional gigabytes, g, that you used.
Answer:
9/g = 28.5
Step-by-step explanation:
It's attached to the image to show proof it's right
How many boxes should be shaded on the grid to show 3/8 x 3/4
Answers
Answer:
9 boxes
Step-by-step explanation:
Solve for x
-22=2(x-10)
Answers
Answer:
−
2
2
=
2
(
−
1
0
)
x-22={\color{#c92786}{2(x-10)}}
x−22=2(x−10)
−
2
2
=
2
−
2
0
Step-by-step explanation:
Answer:
x=-21
Step-by-step explanation:
first expand the brackets
-22=2x-20
then make x on its own
-42=2x
then dived by 2
-21=x
The smallest cube has a length of 6 inches.What are the edge lengths of the other cubes if the ratios of similarity to the smallest cube are 1.25, 4/3, 1.5, 7/4 and 2 respectively
Answers
Ans is in the attachment
hope it helps :)
plz mark as brainliest
Use the figure to find the measure of angle 1. *
Answers
Answer: angle 1 = 110 degrees
This is because angle 1 and the red 110 degree angle are corresponding angles.
They correspond to one another due to the fact they are both in the southwest corner of each 4-corner angle configuration (which is the result of crossing two lines)
Corresponding angles are congruent only when we have parallel lines like this.
State if the two triangles are congruent, if they are state how you know.
A. SSS
B. HL
C. LL
Answers
Answer:
I belive it would be HL because its defenitly not SSS
Step-by-step explanation:
HL Postulate is if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
Graph the equation y= -1/2x
Answers
First make a graph that has a y and x axis with 4 numbers going up, down, left, right. At intervals of 1. Plot a dot at 0 or the center, and then move one up and two to the left, then plot a dot there. Repeat that one more time if you made a graph like I explained. Then, on the other side of the graph do the same thing except instead of 1 up, two to the left, it’s one down two to the right. Repeat that one more time and that should be your graph.
The graph of equation y = - 1/2x is shown in attached image.
We have to given that,
Equation is,
⇒ y = - 1/2x
Since, The equation of line in slope intercept form is,
y = mx + c
Where, m is slope and c in y - intercept.
Here, equation is,
y = - 1/2x
Hence, It is passes through origin.
Therefore, The graph of equation y = - 1/2x is shown in attached image.
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ6
Johnny is given 18 bottles of beer and he drinks 6 of them. How much beer does Johnny have left?
Answers
Answer: 12 bottles left
Step-by-step explanation:
18-6=12 bottles
Answer:
Johnny will have 7 beer bottles left.
Step-by-step explanation:
Q
H.
The two-column proof below describes the statements and reasons for proving that corresponding angles are congruent:
Step
Statements
Reasons
1
UV || WZ
Given
2
Points S. Q, R, and T all lie on the same line.
Given
3
mZSQT = 180°
Definition of a Straight Angle
Angle Addition Postulate
4
m2SQV + m2VQT = m_SQT
5
Substitution Property of Equality
6
m2VQT + mZZRS = 180°
Same-Side Interior Angles Theorem
Substitution Property of Equality
7
m2SQV+mZVQT = m2VQT + mZZRS
Answers
Answer:
i can't understnd it at all i mean you organized it but what does those mean??
Step-by-step explanation:
A penguin walks 10 feet in 6 seconds. At this speed how far does the penguin walk in 45 seconds?
Answers
10/6 * 45 = 75 feet
spimplyfy 2x+4-3x+2+3x2 x + 4 − 3 x + 2 + 3 x
Answers
Answer:
12x + 12
Step-by-step explanation:
2x+4-3x+2+3x(2)+x+ 4 − 3 x + 2 + 3 x
Solve 3x(2) = 6x
Next combine like terms
Like terms:
2x + 3x + 6x + 1x + (-3x) + 3x = 12x
4 + 2 + 4 + 2 = 12
Rewrite simplified
12x + 12
^^This is the correct answer assuming that 3x2 x is 3x(2) + x
Patrick spent a total of $29.82 for 14 paintbrushes, $31.84 for 16 drywall anchor screws, $27.15 for 12 light bulbs, and $36.54 for 18 pieces of sandpaper at his local hardware store. Which purchase had the highest per item cost?
A.
paintbrushes
B.
light bulbs
C.
sandpaper
D.
drywall anchor screws
Answers
Answer: Light bulbs.
Step-by-step explanation:
Paint Brushes: 29.82 ÷ 14 = $2.13 per brush.
Drywall Screws : 31.84 ÷ 16 = $1.99 per anchor screw.
Light Bulbs: 27.15 ÷ 12 = $2.26 per light bulb.
Sandpaper: 36.54 ÷ 18 = $2.06 per piece of sandpaper.
Evaluate each value expression for the given valueof x: 20-3x, x=5
Answers
Answer:
= 5
Step-by-step explanation:
20 - 3(5)
20 - 15
= 5
Pls help i reall need help with this
Simplify Each
1. 3 - {7 - [8 + (7 - 3)] }
2. 12 - ( 3 - 4) - [8 - 6] + 5
3. - {2 - [7 - 8] + 2 - (1 - 3)}
4. 6 + 3
2 + 3
5. 4+5
- [ 8 - (245)]
1 - 4
Answers
Answer:
1.8
2.16
3.-7
5.-702
I didn't understand the 4th one
Answer:
1) 8
2) 16
3) -7
4) 14
5) 243
Step-by-step explanation:
For number 4 i just assumed you meant 6 + 3 + 2 + 3
For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy???
Answers
Answer: 4 and a half
Step-by-step explanation:
4/5x - 1/10 = 3/10 what is the value of x
Answers
Answer:
x=1/2 or 0.5
Step-by-step explanation:
Hope this helps and have a great day :)a number with a negative exponent can always be written using positive exponents in fraction form. the numerator will always be ___
please finish the sentence
Answers
Answer:
1
Step-by-step explanation:
i did this in 8th grade so last year. trust me
can i get brainlest
HELP IDK WHAT TO DOOO
Answers
Answer:
yes shes correct
Step-by-step explanation:
she is correct because 4 and 4 equal 8 which means each tree coat 10 each which is 80$
Answer:
hint find the diference
Step-by-step explanation:
Solve 2c − 8f = 24 for f. Show your work.
Answers
Answer:
f=2 c=4
Step-by-step explanation:
8 times 2 equals 16 plus 2 times 4 equals 24 in total.
Help!!!
By rounding each number to 1sf. Estimate the answer to 7.238 × 125.5413
Answers
Answer:
909
Step-by-step explanation:
I'm not sure if I'm right plz tell me if I'm wrong
What is the y-intercept of y=
-3x
Answers
The question is in the image! Please help if u can its due really soon
Answers
Answer:
Angle STR = 78°
Step-by-step explanation:
So, since line QS is a straight line, we know that it's 180°. We also know that angles QTR and STR both add up to 180°. That gives us an equation:
20x + 12 + 10x + 33 = 180
Combine like terms
30x + 45 = 180
Subtract 45 from both sides
30x = 135
Divide both sides by 30
x = 4.5
Now we know the value of x. We just need to plug it into angle STR's given value:
10(4.5) + 33 = angle STR
45 + 33 = angle STR
78° = angle STR
Math is the only place where is not questionable as to why someone has 83.
Answers
Answer:
true
Step-by-step explanation:
i need elp ill give a brainly to whoever helps me
Answers
Answer:
x=3
Step-by-step explanation:
cross multiply
12.5*2=30
10*x=10x
10x=30
/10
x=3
Answer:
30
Step-by-step explanation:
2.5X12=30
Find the interest on an investment of $45,000
compound annually at 5.25% for 6 years
A = P(1 + r)t
Answers
Answer:
The interest on the investment is $16,170.93811
Step-by-step explanation:
The rule of the compound interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex], where
A is the new valueP is the initial valuer is the rate in decimaln is the number of periods in timet is the time∵ The investment is $45,000
∴ P = 45,000
∵ The interest on the investment is compounded annually at 5.25%
∴ r = 5.25% = 5.25 ÷ 100
∴ r = 0.0525
∴ n = 1 ⇒ compound annually
∵ It is for 6 years
∴ t = 6
→ Substitute them in the rule above
∵ [tex]A=45,000(1+\frac{0.0525}{1})^{1(6)}[/tex]
∴ [tex]A=45,000(1.0525)^{6}[/tex]
∴ A = 61,170.93811
∵ I = A - P, where I is the interest
∴ I = 61,170.93811 - 45,000
∴ I = 16,170.93811
∴ The interest on the investment is $16,170.93811