Who can help me out with this question? The tutors haven’t been working for 3 days
Answers
Answer: Yes, the triangles are similar.
The triangles are similar due to the AAA similarity theorem.
=============================================================
Explanation:
Recall that for any triangle, the three inside angles must add to 180 degrees.
So for triangle ABC, this means that
A+B+C = 180
40+120+C = 180
160+C = 180
C = 180-160
C = 20
Similarly, we can find angle T by following these steps
R+S+T = 180
20+120+T = 180
140+T = 180
T = 180-140
T = 40
---------------------------
To summarize, we found angle C to be 20 degrees, and angle T is 40 degrees.
Now note these angle pairings in which they are the same measure
Angle A = Angle T = 40Angle B = Angle S = 120Angle C = Angle R = 20We have three pairs of corresponding angles that are congruent. By the AAA (angle angle angle) similarity theorem, this proves the triangles are similar. We can say triangle ABC is similar to triangle TSR. The order is important so we know how the angles pair up. For instance, A and T are the first letters of ABC and TSR respectively, helping us see that A and T pair up together.
Technically the minimum amount we need is only two pairs of corresponding angles, so some math textbooks use AA instead of AAA. It's the same idea though.
Unfortunately we don't have enough information to prove the triangles congruent or not. We would need to know some information about a pair of sides. Specifically, if we had one pair of congruent sides, then we could use either ASA or AAS.
Related Questions
The figure below shows an upside-down pyramid with a square base.
Which shape does the intersection of the horizontal plane with the pyramid look like?
Answers
Answer:
B
Step-by-step explanation:
A square pyramid is one with a square base. The correct option is B.
What is a square pyramid?A square pyramid is one with a square base. It is a right square pyramid with C4v symmetry if the top is perpendicular to the centre of the square. It is an equilateral square pyramid if all edge lengths are equal.
The place at which the up-side down pyramid will intersect with the plane will be a square.
Hence, the correct option is B.
The complete question is:
If a vertical plane cuts through a square pyramid down from the vertex, which of the following best describes the shape of the cross-section?
A. Pentagon
B. Square
C. Rectangle
D. Triangle
Learn more about Square Pyramid:
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Answer i will brainlist
Answers
Answer:
flour:
20
35
40
liquid:
12
21
24
Step-by-step explanation:
First blank is 12
second blank is 30
3rd blank is 40
Step-by-step explanation:
5 to 3 to get 12 you have to seee how many times you have to multiply 5 by to get 20 in this case it is 4. SO then you multiply 3 by 4 to 12 for liquid. Same steps to get the other answers.
Which value for w makes the equation TRUE? − 8 w + 2 = 3
A. -1/2
B. -1/8
C. 8
D. 9
Answers
Answer:
B. -1/8
Step-by-step explanation:
A. -8(-1/2) + 2 = 6 (incorrect answer)
B. -8(-1/8) +2 = 3 (correct answer)
C. -8(8) + 2 = -62 (incorrect answer)
D. -8(9) + 2 = -70 (incorrect answer)
I hope this helps :)
Patricia needs to save $20 for a new backpack. She has $5 saved in her bank.
Every week, she earns $2 for delivering the Sunday paper, and each week she
spends $0.50 of her pay on food.
Write an equation that represents the number of weeks it will take Patricia to
save $20.
Please hurry!!
Answers
Answer:
y=1.5x+5
Step-by-step explanation:
1.50•X=15
X=15/1.50
X=10
PLEASE HELP (LOOK AT THE PICTURE)
Which of the equations matches the line shown in the diagram?
A
B)
y=-x-1
C)
D)
Answers
Answer:
The answer should be D) y = 5/3x - 1/3
Step-by-step explanation: The slope is positive ruling out the negative slope answers leaving C and D, however D is the only answer to get the y intercept correct.
For the equation Y = 2x - 3, complete the table for the given values of X
X Y
-1
1
3
Answers
Given:
The equation is:
[tex]y=2x-3[/tex]
The x-values in the given table are -1, 1, 3.
To find:
The y-values for the given x-values in the table.
Solution:
We have,
[tex]y=2x-3[/tex]
At x=-1,
[tex]y=2(-1)-3[/tex]
[tex]y=-2-3[/tex]
[tex]y=-5[/tex]
At x=1,
[tex]y=2(1)-3[/tex]
[tex]y=2-3[/tex]
[tex]y=-1[/tex]
At x=3,
[tex]y=2(3)-3[/tex]
[tex]y6-3[/tex]
[tex]y=3[/tex]
Therefore the required table is:
x y
-1 -5
1 -1
3 3
Solve for X. Please help ASAP. I have no idea how to do this and it’s due really soon!!
Answers
Answer:
x=4
Step-by-step explanation:
14=3x+2
Move all terms that don't contain x to the right side and solve.
25 is what percent of 365?
I really need helpp
Answers
Answer:
7
Step-by-step explanation:
HELP DUE IN 10 MINS! Determine whether the triangle described is right, obtuse, or acute. Show work to justify your answer.
20, 21, 29
This triangle is a obtuse, acute, or right triangle, because blank is ,=, <, >, to blank?
Answers
Answer:
Right triangleStep-by-step explanation:
Given 3 side lengths of a triangle.
Let's test if this is right triangle by using Pythagorean theorem:
20² + 21² = 29²400 + 441 = 841841 = 841Yes, the triangle is right
answer in scientific notation.
4,672,000
Answers
Answer:
4.672 × 10⁶
Step-by-step explanation:
Is square root of 36 plus 3 a rational or irrational number?
Your answer:
Rational because the square root of 36 is a whole number, and all whole numbers are rational
Rational because the square root of 36 equals 6, 6+3=9, and 9 is a terminating decimal
Irrational because there is a square root symbol in the expression
Irrational because adding a whole number with a square root is impossible
Answers
Answer:
The answer is D
Step-by-step explanation:
D
Tavon has a gift card for $80 that loses $3.50 for each 30-day period it is not used. He has another gift card for $70 that loses $3 for each 30 day period it is not
used
aWrite and solve an equation for the number of 30-day periods until the value of the gift cards will be equal
b. What will the value of each card be when they have equal value?
a. If x is the number of 30-day periods, then the equation can be used to find the number of 30 day periods until the values of the gift cards will be equal.
(Type an equation. Use integers or decimals for any numbers in the equation.)
Answers
Answer:
(a). 20 ; (b). $10.00 ;
Step-by-step explanation:
(a). 70 - 3x = 80 - 3.50x
- 3x + 3.50x = 80 - 70
0.5x = 10
x = 10 ÷ 0.5
x = 20 ( 30-day periods )
(b). $70.00 - $3.00(20) = $10.00
The number of days will be 20 days. Then the values of the gift cards will be equal and will be $10.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Tavon has a gift card for $80 that loses $3.50 for each 30-day period it is not used. He has another gift card for $70 that loses $3 for each 30 days period it is not used.
Let y be the amount left of gift cards after x days and x be the number of days. Then the equation will be
y = 80 - 3.5x ...1
y = 70 - 3x ...2
From equations 1 and 2, we have
80 - 3.5x = 70 - 3x
0.5x = 10
x = 10 / 0.5
x = 20 days
The values of the gift cards will be equal and will be
y = 80 - 3.5(20)
y = 80 - 70
y = $10
The values of the gift cards will be equal and will be $10.
More about the solution of the equation link is given below.
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6. Jared has 18 pairs of white socks, 8 pairs of black socks and 14 pairs of grey socks. What percent of his socks are white?
Answers
Answer:
22
Step-by-step explanation:
First I add all of the numbers given and I get 40. Now 40 - 18= 22.
Answer:
22%
Step-by-step explanation:
Last week, Juliet ran 22 kilometers. This week, she plans to run 2\frac{2}{5}2 5 2 times as far as last week. How many kilometers does Juliet plan to run this week?
Answers
Answer: 52.8 kilometers
Step-by-step explanation:
This week she plans to run 2²/₅ times as much as last week.
If she ran 22 kilometers last week, then multiple 22 by 2²/₅ to find out the number of kilometers to run this week.
First convert the improper fraction to a proper one:
2²/₅ = 12/5
= 12/5 * 22
= 264/5
= 52.8 kilometers
Margie wants to collect 3600 cans of food to donate to the community food bank.She plans to collect equal number of can for 4 months how many cans she should collect
Answers
Answer:
If its per month then its 900
Step-by-step explanation:
3600/4 = 900
900*4 = 3600
Which of the following fractions is equivalent to 3/8
️ 6/14
️9/24
©️4/9
R 15/35
plzzz help I'm on a test I'll give u brainliest
Answers
Answer:
9/24
Step-by-step explanation:
This is because when we multiply 3/8 with 3 in both numerator and denominator we get,
[tex] \frac{3 \times 3}{8 \times 3} = \frac{9}{24} [/tex]
Hence, 9/24 is required answer.
Answer:
9/24
Step-by-step explanation:
Fraction Equivalent Fractions
3/8 6/16 9/24
Hi, can someone help me with my math homework? I just need help with B.
Answers
Answer:
8
Step-by-step explanation:
========================================================
Explanation:
Let's convert the mixed number 5 & 1/3 to an improper fraction.
The formula to use is
a & b/c = (a*c + b)/c
So,
a & b/c = (a*c + b)/c
5 & 1/3 = (5*3 + 1)/3
5 & 1/3 = 16/3
Imagine you had 16 pieces of candy, and imagine you wanted to divide that up amongst 3 friends. Each friend would get 15/3 = 5 whole pieces. There would be 1 candy left over. The 5 and 1 help then form the 5 & 1/3. So this is one way to visualize how 5 & 1/3 is the same as 16/3.
Another way to see why this works is to note how 16/3 = 5.333 approximately. The '5' before the decimal point is the whole part of the mixed number 5 & 1/3; the decimal portion 0.333 is the approximate value of the fractional part 1/3.
------------------
The total length of fencing needed is 16/3 yards. Each section is 2/3 of a yard long. Since both denominators are "thirds", we can ignore them. An equivalent problem is this: "He needs 16 yards of fencing and each section is 2 yards long"
Based on the new problem without fractions involved, we can see that he'll need 16/2 = 8 sections in total.
You should find that dividing (16/3) over (2/3) will lead to 8 as well. You could say this:
(16/3) divide (2/3) = (16/3)*(3/2) = (16*3)/(3*2) = 48/6 = 8
-------------------
An alternative method:
Let's start with 2/3 of a yard. That doubles to 4/3 which is the same as 1 & 1/3. Think of it as 4/3 = (3+1)/3 = 3/3+1/3 = 1+1/3 = 1 & 1/3.
Next, we'll double 1 & 1/3 to land on 2 & 2/3. You simply multiply each '1' by 2 to end up with those '2's shown.
Now we'll double 2 & 2/3 like so:
2*(2 & 2/3) = 2*(2 + 2/3) = 4 + 4/3 = 4 + (1+1/3) = 5 + 1/3 = 5 & 1/3
The act of doubling exactly three times leads to us ultimately multiplying by 2*2*2 = 8, so he needs 8 sections that are each 2/3 of a yard long.
-------------------
Whichever method you prefer, the final answer is 8 sections.
What is the size of ABC?
Answers
Calculate the value of each expression?.
Can someone help me please fast??
Answers
Answers:
a. -4/3 or -1 1/3
b. 4/3 or 1 1/3
c. -3
d. 3
Step-by-step explanation:
hope this helps!
Determine whether the following statement is true or false.
The graph of f(x) = (x + 2)2 + 4 has its vertex at (2,4).
Choose the correct answer below.
O True
0 False
Answers
Answer:
Step-by-step explanation:
No it doesn't. When you get stuck on a question like this one, you should go to Desmos and graph the equation. I've done that for you.
Correctly stated the equation should read f(x) = (x + 2)^2 + 4
As you can see from the graph the vertex is at -2,4. To find the x value of the vertex, create a small equation
x + 2 = 0
x = - 2
That will turn what is inside the brackets into 0. The value for x is always what will turn (x + a) to zero.
A train travels 1 kilometre in 1 minute 20 seconds. Picture of steam train Question prompt At this rate, how many kilometres will the train travel in 1 hour?
Answers
Answer:
45km
Step-by-step explanation:
Distance covered in 1min 20sec (80sec) = 1km
Distance covered in 1 min (60sec) = 1km/80sec
Distance covered in 1Hr (3600sec) = (1/80)*3600 = 45km.
The perimeter of a regular hexagon is 24x + 48. Which expression below can represent the
length of one side?
А 3x + 6
B 6x + 12
c 4x + 8
D 8x + 16
Answers
Answer:
I believe it would be D, sorry if I didn't get it right!
Step-by-step explanation:
PLS HELP I WILL GIVE BRAINLIEST
Answers
Answer:
I think it is the second one i am so so so sorry if it wrong
Step-by-step explanation:
Peter makes strawberry shakes for 6 people. He needs 15 strawberries for this. He has 4/5 of the strawberries. How many more strawberries does he need?
Answers
Answer: 3 strawberries
Explanation: 15/5 = 3
3*4=12
15-12=3
PLEASE HELP!! Which of the following are considered skew lines?
A- AC and CD
B- DH and BF
C- EG and FH
D- AE and GH
Answers
Answer:
A
Step-by-step explanation:
Hope this helps hope you get it right
For which value of theta is sine theta = negative 1?
A unit circle is shown. A radius with length 1 forms angle theta in the first quadrant.
StartFraction pi Over 2 EndFraction
Pi
StartFraction 3 pi Over 2 EndFraction
2 pi
Answers
Answer:
1) 270 degrees
2) pi/4 rad
Step-by-step explanation:
1.) For which value of theta is sine theta = negative 1?
Given
sintheta = -1
theta = arcsin(-1)
theta = -90degrees
Since sin is negative in the third and 4th quadrant
In the third quadrant, theta = 180 + 90 = 270degrees
In the fourth quadrant, theta = 360 - 90 = 270 degrees
Hence the required value of theta is 270degrees
2) Given the radius of the circle to be 1, the y axis value will also be 1 units
Opposite = 1
adjacent = 1
hyp = √1²+1²
hyp = √2
sin theta = opp/hyp
sin theta = 1/√2
theta = arccsin(1/√2)
theta = 45 degrees
Express in radians
45 degrees = pi/4 radians
Hence the required angle in the first quadrant is pi/4 rad
Answer:
3pi/2
Step-by-step explanation:
that is only one that makes sine negative. others make it 0 or positive
URGENT PLEASE !!! answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!
Answers
Answer:
B is (-2,-4)
Step-by-step explanation:
nb vjdbucvbdevohdbvhdqvhknabvjdnam
Answers
PLEASE HELP!!!! (exponential decay/growth) .
Answers
Answer:
B or 2nd answer.
20 POINTS ANSWER FAST
If two fractions are proportional, then the cross products are equal.
true or false?
Answers
Answer
False
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
u cannot cross multiply when ur adding