Answers
Answer:
I hope this makes sense, sorry for the lack of proofs.
Step-by-step explanation:
It is given that S is the midpoint of line QT. The definition of a midpoint is that it bisects the line it is on. So, line QS and line TS are congruent, or the same.
Now, we also know that line QR and line TU are parallel. Because they are parallel, it means that they form congruent corners with lines QS and TS..I think the proof here is "angles opposite to congruent sides are congruent in a triangle." But I'm not sure if this is right. Anyways, this means angles RQS and UTS are congruent.
There's also some proof that when two lines cross, the opposite angles are congruent. This means that angles TSU and QSR are congruent.
Therefore, by ASA (angle-side-angle) ΔQRS ≅ ΔTUS.
Related Questions
If a scale factor of One-fifth is used to make a reduction, what is the base of the original triangle?
Original triangle
Reduced triangle
Height
3
Base
5
1
10
15
25
Answers
Answer: the answer is d
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
1. Which ratio is equivalent to 3:9?
24.54
18:54
36.81
Answers
Both 9/3 and 54/18 come out to 3, so your answer is:
18:54
Answer:
18:54
Step-by-step explanation:
We have to simplify these ratios.
If the most simplified form of the ratios are equal, they are equivalent
3:9
24:54
18:54
Same ratio as 3:9, so 18:54 is equivalent to 3:9
36:81
HELP PLEASE!!!!! ASAP
Answers
Answer:
I think it would be A
Step-by-step explanation:
3.2 less than a number m
Answers
Answer:
m-3.2
Step-by-step explanation:
Can someone please answer these there due today in math
1.)3c + 8= 29
2.)12/c - 6=78
3.) -20 = -4x - 6x
4.) -4 (3 + 4K) = 52
5.) -45 = -3(4x - 1)
Answers
2. c=1/7
3. x=2
4. K=-4
5. x=4
You bought 8 bags of dog food and 2 boxes of dog treats for a total of $135. Your friend bought 6 bags of dog food and 4 boxes of dog treats for a total of $110. Each bag of dog food costs the same amount. Each box of dog treats costs the same amount. Write a system of equations, then find the cost of one bag of dog food.
Answers
Answer:
8f + 2t = $135 - - (1)
6f + 4t = $110 - - (2)
$16
Step-by-step explanation:
Given that:
f = dog food
t = dog treat
8f + 2t = $135 - - (1)
6f + 4t = $110 - - (2)
From (1)
4f + t = 67.5
t = 67.5 - 4f
Put t = 67.5 - 4f in (2)
6f + 4(67.5 - 4f)= 110
6f + 270 - 16f = 110
-10f = 110 - 270
-10f = - 160
f = 16
One bag of dog food = $16
Joes family is planning a kayaking trip. Kayak Place charges a base fee of $15 plus $4.50 per hour. Kayak Store charges a base fee of $12.50 plus $5 per hour. Write an expression for each Kayak rental. Select all that apply.
Answers
Answer:
15+4.50x, 12.50+5x
Step-by-step explanation:
A boat is traveling at a constant speed. In 10 hours, the boat travels 160 miles. How many hours will it take the boat to travel 24 miles?
Answers
Answer:
1 hour and 30 minuets
Step-by-step explanation:
Complete the table to investigate dialations of exponential functions.
Answers
Answer:
a = 1, b = 3, c = 1, d = 2, e = 6, and f = 8
Step-by-step explanation:
The given exponential functions are;
2ˣ, 3·2ˣ, and [tex]2^{3 \cdot x}[/tex]
Let f(x) = 2ˣ, h(x) = 3·2ˣ, and g(x) = [tex]2^{3 \cdot x}[/tex]
From the table for investigating the dilations of exponential function, we have;
a = f(0) = 2⁰ = 1
b = h(0) = 3·2⁰ = 3 × 1 = 3
c = g(0) = [tex]2^{3 \times 0}[/tex] = 2⁰ = 1
d = f(1) = 2¹ = 2
e = h(1) = 3·2¹ = 3 × 2 = 6
f = g(1) = [tex]2^{3 \times 1}[/tex] = 2³ = 8.
30 points!
Either Table C or Table D shows a proportional relationship.
Plot all the points from the table that shows a proportional relationship.
Table C
x 3 4 5 6
y 1 2 3 4
Table D
x 2 4 8 10
y 1 2 4 5
Answers
Answer:
Its D
Step-by-step explanation:
Espero que tengas un gran día amigo
Please help! Due today!!
Answers
Answer:
l
Step-by-step explanation:
...sorry by any chance if the answer is wrong
Can you please help
Answers
Answer:
The answer to the question provided is
[tex] \frac{9}{5} [/tex]
Step-by-step explanation:
T
PLEASE HELP 30 POINTS
Solve the equation.
60% of 45 =
25% of 80 =
16% of 40 =
Answers
Answer:
60% of 45 = 0.6 × 45 = 27
25% of 80 = 0.25 × 80 = 20
16% of 40 = 0.16 × 40 = 6.4
2.20
3.6.4
hajahahahhah pls
function or not a function?
Answers
Answer:
Not a function
Step-by-step explanation:
You draw lines going down the graph and if any of those lines have more than one point then it is not a function.
What is the value of KL
Answers
Answer:
40.5
Step-by-step explanation:
Since the centroid (the point of concurrency of the sides of a triangle) divides the 3 medians into the ratios from the point to the centroid to the centroid to the side into the ratio of 2:1. To find PK divide 27 by 2
27/2=13.5
Then add 27 and 13.5 to get KL
27+13.5=40.5
10.5 x 2 and 2/3
can someone explain how to do this too?
Answers
10.5 X 2 = 21
2/3 = 0.666666667
Sid has £5 to buy apples and bananas.
He uses his money like this:
He buys 18 apples.
Then he buys as many bananas as possible.
With his change he buys more apples.
How many apples and bananas does he buy?
(Apples=6p Each)
(Bananas= 40p Each)
Answers
Bananas = 9 and Apples = 22
Explanation below -
Step-by-step explanation:
cost of 18 apples= 18x6p= 108p
£5-108p= x (will let it be x since i do not know the conversion)
maximum number of banana he can buy= x divide by 40p (rounded down to smallest whole number)= b
The change he have= x-(40×b) = y
apples bought with change= y divide by 6p= a
do the working above to find value for a and b, add a to the 18 apples bought initially and b is number of banana
easy brainliest 2+2/-2
Answers
Write the equation of the line that passes through the point (-9,10) and is parallel to the y axis
Answers
Answer:
y = 10Step-by-step explanation:
The equation of any line parallel to the y axis is y = y₀
where y₀ is the y-coordinate of any point from the line
(and the y-intercept of the line)
I need help with this please. :)
Answers
Answer:
64x³+4
-------------
2x-1
Step-by-step explanation:
I hope this helps. :)
On the swim team, for every 10 girls there are 7 boys. If there are 21 boys on the swim team, how many girls are there?
Answers
Answer:
30 girls
Step-by-step explanation:
Every 10 girls there are 7 boys.
So if there are 3 groups of 7 boys, there will be 30 girls.
Check:
10 girls: 7 boys
+10 girls: 7 boys
+10 girls: 7 boys
= 30 girls: 21 boys
Albert makes 20 kg of sweets in 5 weeks. If he continued to make sweets, how much would he have after 10 weeks?
Answers
Answer:
he will have 40 kg
Step-by-step explanation:
10:5=2
20 x 2 = 40
The length of a rectangle is 5 more than the side of a square, and the width of the rectangle is 5 less than the side of the square. If the area of he square is 45, what is the area of the rectangle
Answers
Answer:
20
Step-by-step explanation:
Given :
Length = l
Width = w
Area of square = 45
Let side of square = x
Area of square = x²
45 = x²
√45 = x
l of rectangle = x + 5 = √45 + 5
w of rectangle = x -5 = √45 -5
Area of rectangle= l * w
Area = (√45 + 5) * (√45 - 5)
Area = 45 - 5√45 + 5√45 -25
Area = 45 -25
Area of rectangle = 20
1) Supposed that you have an account with the overdraft
protection. Your account balance is $40.00, you spend
$85.00 at a grocery stores. The bank charge you $30.00
every time you overdraft the account. What is your
account balance after the overdraft and the bank fee?
A) -$60.00
B) -$75.00
C) -$80.00
D) -$70.00
Answers
Answer: B) -$75.00
========================================================
Explanation:
Draw a vertical number line. Plot 40 on this line. Then move down 85 units to arrive at 40-85 = -45. The negative indicates that you're in debt.
Then move down another 30 due to the overdraft fee and we have -45-30 = -75 as the bank balance.
-------------------
Put another way:
Start at $40. If you spend $40, then your balance is $0. You need to spend another $45 to get all of the groceries (since the grocery bill is 40+45 = 85 dollars). That's where the -45 comes from, to indicate you're 45 dollars in debt. This is before the overdraft fee kicks in. Adding on that fee gets a total debt of 45+30 = 75 dollars. So that's why the final balance is -75 dollars.
What is 30-20-65+10+4=
Answers
Answer:
-41
Step-by-step explanation:
Math help find the rise.
Answers
Answer:
-16
Step-by-step explanation:
The equation for a slope is rise/run. You know from the question that the slope is -4/5 in its simplest form. However, the run in its original form is 20.
So if the run is 5 in its simplest form, but 20 in its original form, then this means the slope must have been simplified by dividing both the original rise and the original run by 4, because 20/4 = 5.
That also means we can find out the original rise by doing the inverse of what we did above. We can multiply the rise in its simplest form by 4 to get the original. That gives us -16 (because -4*4 = -16).
write in word form 329.080 in word formwrite in word form 329.080 in word form
Answers
Answer:
Three Hundred Twenty-nine and Eighty Thousandths.
The area of a rectangular field is 5695 m².
If the width of the field is 67 m, what is its length?
Answers
Answer:
85 m
Step-by-step explanation:
5696/67=85
During a field trip, 60 students are put into equal-sized groups. Describe two ways to interpret 60÷5 60 ÷ 5 in this context. Find the quotient. Explain what the quotient would mean in each of the two interpretations you described. Consider the division expression 712÷2 7 1 2 ÷ 2 . Select all multiplication equations that correspond to this division expression. 2⋅?=712 2 ⋅ ? = 7 1 2 712⋅?=2 7 1 2 ⋅ ? = 2 2⋅712=? 2 ⋅ 7 1 2 = ? ?⋅712=2 ? ⋅ 7 1 2 = 2 ?⋅2=712
Answers
The second question:
Consider the division expression [tex]7\frac{1}{2} / 2[/tex]. Select all multiplication equations that correspond to this division expression.
[tex]2 * ? = 7\frac{1}{2}[/tex] [tex]7\frac{1}{2} * ?= 2[/tex] [tex]? * 2 = 7\frac{1}{2}[/tex]
[tex]2* 7\frac{1}{2} = ?[/tex] [tex]? * 7\frac{1}{2} = 2[/tex]
Answer:
1. See Explanation
2. [tex]2 * ? = 7\frac{1}{2}[/tex] and [tex]? * 2 = 7\frac{1}{2}[/tex]
Step-by-step explanation:
Solving (a):
Given
[tex]Students = 60[/tex]
[tex]Group = Equal\ Sized[/tex]
Required
Interpret [tex]\frac{60}{5}[/tex] in 2 ways
Interpretation 1: Number of groups if there are 5 students in each
Interpretation 2: Number of students in each group if there are 5 groups
Solving the quotient
[tex]Quotient = \frac{60}{5}[/tex]
[tex]Quotient = 12[/tex]
For Interpretation 1:
The quotient means: 12 groups
For Interpretation 2:
The quotient means: 12 students
Solving (b):
Given
[tex]7\frac{1}{2} / 2[/tex]
Required
Select all equivalent multiplication equations
Let ? be the quotient of t [tex]7\frac{1}{2} / 2[/tex]
So, we have:
[tex]7\frac{1}{2}/2 = ?[/tex]
Multiply through by 2
[tex]2 * 7\frac{1}{2}/2 = ? * 2[/tex]
[tex]7\frac{1}{2} = ? * 2[/tex]
Rewrite as:
[tex]? * 2 = 7\frac{1}{2}[/tex] --- This is 1 equivalent expression
Apply commutative law of addition:
[tex]2 * ? = 7\frac{1}{2}[/tex] --- This is another equivalent expression
Is the equation a function?
Answers
Answer:
I do so believe the equation is a function
Step-by-step explanation:
if im wrong im so sorry
:) hope this helps!!