In the figure below, triangle ABC is similar to triangle PQR, as shown below.
What is the length of side PQ? (1 point)
a-33
b-34
c-35
d-36
Answer: 36
Step-by-step explanation:
As you can see, side AB is similar with side PQ.
Also, side BC is similar with side QR.
If you divide the length of side QR (34.5) by the length of side BC (11.5)
you get 3.
3 is the ratio that you will use to find the other side. The ratio of triangle ABC to PQR is 1:3
Multiply the side of AB (12) by 3 and you will get 36.
The measure of side PQ in triangle PQR is 35 units. Therefore, option D is the correct answer.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Given that, triangle ABC is similar to triangle PQR.
By similar triangles statement, we have
AB/PQ = BC/QR
12/PQ = 11.5/34.5
12×34.5=PQ×11.5
11.5PQ=414
PQ=414/11.5
PQ=36
Therefore, option D is the correct answer.
To learn more about the similar triangles visit:
https://brainly.com/question/25882965.
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A spotlight has a beam that travels 100 feet and covers an area intercepted by an 84°
angle, as shown
What is area covered by the beam to the nearest square foot?
31416 satt
184 sq.ft
7330 sq.ft
26389 sq.ft
Answer:
7330 sq.ft
Step-by-step explanation:
Area covered by the beam = Area of sector
Area of sector = [tex] \frac{\theta}{360} \times \pi r^2 [/tex]
Where,
[tex] \theta = 84° [/tex]
Radius (r) = 100 ft
Plug in the values into the formula
Area of sector = [tex] \frac{84}{360} \times \pi 100^2 [/tex]
Area of sector = [tex] \frac{84 \times \pi \times 10,000}{360} [/tex]
Area of sector = 7,330 ft² (nearest square foot)
Please answer give it too me now
Answer:
5/3
Step-by-step explanation:
HTH :)
How would you graph the solution set of x/1 ≤ -18?
Get a graphing calculator
Answer:
closed circle on 6 and shaded to the left
Step-by-step explanation:
determine if l || m based on the information given on the diagram. If yes, state the converse that proves the lines are parallel.
Answer/Step-by-step explanation:
1. YES.
Converse: If same side interior angles are supplementary, then l || m. (Same side interior angles)
Since the sum of the two same side interior angles, 65° and 115°, equals 180°, therefore, l || m.
2. YES.
Converse: if two angles angles are a linear pair, they are supplementary, therefore l || m. (Linear pair)
Thus,
128° + 53° = 180°.
3. YES.
Converse: if two angles are corresponding angles and congruent, therefore l || m. (Corresponding angles).
Thus,
The indicated angles which are equal to 90°, are corresponding angles therefore, l || m.
4. YES
Converse: if two alternate exterior angles are congruent, then l || m. (Alternate exterior angles)
Thus, the two exterior angles are congruent, therefore l || m.
The converse which would serve as prove that l is parallel to m are given in the answers below:
Considering the information in the given diagrams:
1. Yes, l is parallel to m.
The converse is: "If corresponding angles are equal, then l is parallel to m". One of the corresponding angles plus [tex]115^{o}[/tex] equals [tex]180^{o}[/tex].
Thus, l || m.
2. Yes, l is parallel to m.
The converse is: "if two angles are linear pair, then they sum up to [tex]180^{o}[/tex]".
So then, l || m.
3. Yes, l is parallel to m.
The converse is: "if two corresponding angles are right angles, then they are congruent".
Therefore, l || m.
4. Yes, l is parallel to m.
The converse is: :if two alternate exterior angles are congruent, then l is parallel to m".
Therefore, l || m.
Visit: https://brainly.com/question/19670823
m=n-x/5
m +x/5=n
x/5=n-m
x=5(n-m)
is this right?
Answer:
yeshhh doggo is bac from da weekend
Step-by-step explanation:
Answer:
1. B
2. A
3. 3
4. 2
5. 1
Step-by-step explanation:
Hope this helps!!
Love you all!!
A point on a graph is located at (0, -9). Which statement is true?
A -9 is the y-intercept.
B -9 is the x-intercept.
C 0 is the x-intercept.
D 0 is the y-intercept.
Answer:
A -9 is the y-intercept
Step-by-step explanation:
ANSWER :- OPTION A -9 IS THE Y-INTERCEPT
At what value of x do the graphs of the equations below intersect?
2x − y = 6
5x + 10y = −10
Answer:
x = 2
Step-by-step explanation:
You would find a value of y to plug into either of the equations. For example, I chose the equation 2x - y = 6. When I set it equal to y, I got y = 2x - 6Now that I know what y is equal to, I plugged it into the second equation to get 5x + 10 (2x - 6) = -10You then would calculate for x.Your end result should be x = 2, which is the point that the two equations intersectThis works because the two equations are set equal to each other, making them share a common value between them.
You can also plug both of these equations into a graphing calculator, and on the graph select the command to calculate the intersection.
Hope this helped!
Answer:
x = 2
Step-by-step explanation:
Given the 2 equations
2x - y = 6 → (1)
5x + 10y = - 10 → (2)
Multiplying (1) by 10 and adding to (2) eliminates the y- term.
20x - 10y = 60 → (3)
Add (2) and (3) term by term to eliminate y, that is
25x = 50 ( divide both sides by 25 )
x = 2
The value of x at the point of intersection is x = 2
A farmer is mapping out one of his fields and is placing markers to section off areas to use for different crops. He has placed marker 1 at the point (2, 1), marker 2 at the point (-3, 1), and marker 3 at the point (2, 5). If each unit on the grid is one kilometer, what's the distance between marker's 1 and 2?
Answer:
5km
Step-by-step explanation:
The distance between two coordinates is expressed as;
D = √(x2-x1)²+(y2-y1)²
Marker 1 is at coordinate (2,1) and marker 2 at (-3,1)
Substitute into the formula
D = √(-3-2)²+(1-1)²
D = √(-5)²
D = √25
D = 5
Hence the distance between marker one and two is 5km
Solve the simultaneous equations:
6x-4y=39
2x+y=6
Answer:
(9/2, -3)
Step-by-step explanation:
The length of a rectangle is 3 m longer than it’s with.if the perimeter of the rectangle is 50 m find the langth and the width
Answer:
2(3x+x)=50...4x=25...width is 6/25 meter and length is 18/75
Which of the binomials below is a factor of this trinomial?
+ 12x+32
O A. x-2
O B. x+ 2
O C. X-4
O D. X+4
PLEASE HELP!!
f(x) = 2x + 2; Find f(10)
Answer:
22
Step-by-step explanation:
f(10)=2(10)+2
20+2
22
10. What are the break-even points of the profit function (the values of x where profit equals 0)? Use the quadratic formula. (4 points: 2 points for each x-value)
Answer:
r = 50000
P (r) = 0.7r - 35000
Step-by-step explanation:
Given cost function is
C (r) = 0.85r + 35000
and revenue function is
R (r) = 1.55r
At break even point, revenue is equal to cost
R(x)= C(x)
1.55r = 0.85r+35000
Subtract 0.85 from both sides
0.7r = 35000
divide by 0.7 on both sides
r = 50000
Profit function
P(x)= R(x)- C(x)
P(r) = 1.55r - (0.85r+35000)
P(r) = 1.55r - 0.85r - 35000
P(r) = 0.7r - 35000
which set represents a Pythagorean triple?
1, 2, 4
2, 4, 6.
3, 4, 10.
5, 12, 13.
Plz help thank you
Help ASAP 27 points.
I'll mark you brainliest of you answer correctly.
Answer:
2nd one is the answer..
HELP PLEASE!!!
Sonia graphs the equation y=-x^2+4x and y=x-4 to solve the equation -x^2+4x=x-4. Her graph is shown below.
what are the solutions of -x^2+4x=x-4?
a)-5 and 0
b)-5 and -1
c)-1 and 4
d)0 and 4
Here is my math problem, thanks :) -8+16-9+1222-784
Answer:
437
Step-by-step explanation:
i just simplified it, but i hope this helps!
have a good day!
and mark me brainliest while your at it! ;D
Answer:
437
Step-by-step explanation:
Study the work shown to find the exact solutions of this trigonometric equation.
Solve: 2 cosine (x) minus StartRoot 3 EndRoot = 0 for 0 less-than-or-equal-to x less-than-or-equal-to 2 pi. 2 cosine (x) minus StartRoot 3 EndRoot = 0. 2 cosine (x) = StartRoot 3 EndRoot. Cosine (x) = StartFraction StartRoot 3 EndRoot Over 2 EndFraction. Cosine Superscript negative 1 Baseline (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) = x
Select all that are solutions of the equation over the specified domain.
Answer:
x=pi/6
and
x=11pi/6
Step-by-step explanation:
edge
Answer:
A & D are the answer
Step-by-step explanation:
PLS help with the question in the picture!
Answers:
y = 50
angle AOB = 100
=========================================
Explanation:
Angle x is an inscribed angle that subtends or cuts off minor arc AB. This is the shortest distance from A to B along the circle's edge.
Angle y is also an inscribed angle that cuts off the same minor arc AB. Therefore, it is the same measure as angle x. We can drag point D anywhere you want, and angle y will still be an inscribed angle and still be the same measure as x.
-------------------
Point O is the center of the circle. This is because "circle O" is named by its center point.
Angle AOB is considered a central angle as its vertex point is the center of the circle.
Because AOB cuts off minor arc AB, and it's a central angle, it must be twice that of the inscribed angle that cuts off the same arc.
This is the inscribed angle theorem.
Using this theorem, we can say the following
central angle = 2*(inscribed angle)
angle AOB = 2*(angle x)
angle AOB = 2*50
angle AOB = 100 degrees
k/2+1/2=3 find the k
Answer:
k = 5
Step-by-step explanation:
Given
[tex]\frac{k}{2}[/tex] + [tex]\frac{1}{2}[/tex] = 3 ( multiply through by 3 to clear the fractions )
k + 1 = 6 ( subtract 1 from both sides )
k = 5
Answer:
K=5
Step-by-step explanation:
K/2=3-1/2
k/2=2 1/2
k= 2 1/2 * 2
k=5
rs. Young is buying tshirts for her students in a class. There are 24 students in her class. Each student will pay $9.50 for their shirts. During the first week, 15 students paid. The remaining students paid the second week. How much money will be collected on the second week?
Answer:
The answer is $85.50
Step-by-step explanation:
You have to multiple the number of students that are paying on the second week, which is 9 by $9.50, then you'll get $85.50
WEEK ONE --
9.50 x 15 = $142.5 (15 out of 24 students)
--
WEEK TWO --
9 x 9.50 = $85.5 (9 out of 24 students)
--
$85.5 will be collected on the second week.
help and please explain
The points are basically numbers and use those points to help you figure out which equation is true or in you case best models the graph.
Answer:
Option (D) is correct
Step-by-step explanation:
Hope this helped if so please leave a rating! :)
THANKS
A graph shows time (minutes), numbered 2 to 18 on the horizontal axis (t), and altitude in feet, numbered 30 to 270 on the vertical axis (h). A solid circle appears at point (0, 210) and point (14, 0), and a line connects the 2 points.
What is the domain of the function represented in the graph?
{t| 0 ≤ t ≤ 14}
{h| 0 ≤ h ≤ 210}
{t | 0 ≤ t ≤ 210}
{h | 0 ≤ h ≤ 14}
Answer:
A. {t| 0< t < 14}
Step-by-step explanation:
got it right
Ansnwer
{t| 0 ≤ t ≤ 14}
Step-by-step explanation:
I got it right on edge 2020
Clare knows that Priya has a bunch of nickels and dimes in her pocket and that the total amount is $1.25. Find one possibility for the number of nickels and number of dimes that could be in Priya's pocket. Write an equation that describes the relationship between the number of dimes and the number of nickels in Priya's pocket. Explain what the point (13,6) means in this situation. Is the point (13,6) a solution to the equation you wrote? Explain your reasoning.
Answer:5x + 10y = 125
Step-by-step explanation
Number of nickel = x
Number of dime = y
Nickel = 5 cent
Dime = 10 cent
Total value = $1.25
Total value should be converted to cent since both dime and nickel are both in cent
= $1.25 * 100 = 125 cents
Therefore,
5x + 10y = 125 cents
if angle a = (7x-27) and angle b = (3x + 29) , then find the value of x.
Answer:
x = 14
Step-by-step explanation:
7x - 27 = 3x + 29
Subtract 3x from both sides;
4x - 27 = 29
Add 27 to both sides;
4x = 56
Divide both sides by 4;
x = 14
What does s=? In this equation
Answer:
s=11
Step-by-step explanation:
The opposite sides of a parallelogram are equal
So the equation is
5s=s+44
=>5s-s=44
=>4s=44
=>s=44/4
Therefore
s=11
If you find my answer helpful then please mark me as brainliest
-7 + 10y = 33 STEP BY STEP FULL ANSWER TO GET BRAINLIEST
Answer:
y = 4
Step-by-step explanation:
-7 + 10y = 33
10y = 33 +7
10y = 40
y = 40/10
y = 4
M<A=45
A. straight
B. obtuve
C. right
D. acute
Answer:
d. acute
Step-by-step explanation:
acute angles are anything less than 90 degrees :)
$22 skateboard; 25% discount
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▹ Answer
$16.50
▹ Step-by-Step Explanation
If you are trying to find the new price, we will deduct 25% from the original cost of $22.
To figure this out, you can multiply 0.25 * 22.
From there, you will get $5.50. This means there will be a $5.50 discount applied. To find the new cost, we will now subtract.
$22 - $5.50 = $16.50
The new cost of the skateboard is $16.50.
Hope this helps!
CloutAnswers ❁
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