The figure shows the construction of a line tangent to a circle from a point on the circle. From the diagram, which statement is true?
1. OP ≈ QR
2. P is the midpoint of OR
3. OQ+QP=QP + PR
4. PQ≈ PR
The required statement that is true for the given circle is PQ = PR. Option D is correct.
What is a circle?A circle is a closed shape consisting of all points in a plane that are at a constant distance from a single fixed point called the center. The distance between the center and any point on the circle is called the radius, and the distance across the circle, passing through the center, is called the diameter.
Here,
From the figure,
QP = PR,
So P is the midpoint of QR,
Thus, the required statement that is true is PQ = PR. Option D is correct.
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A random survey of 75 seventh graders at Cedar Middle School showed that 37 of them do volunteer work. Use these results to predict the approximate number of students who do volunteer work out of the 500 seventh graders at the school. Round to the nearest whole number.
Answer:
247 students
Step-by-step explanation:
37/75 = .49333...
so you multiply the 500 by .49333... and get
246.666
round up and get 247
The recipe calls for 1/4 cups of cream.
What is the fraction of a pint do u need?
Answer:
Your answer is 1/8 pint.
Step-by-step explanation:
Since there are two cups for every one pint, this means that 1/4 a cup would equal 1/8 pint.
Cereal is on sale this week. Is it a better buy to get the 10-ounce box for $1.86 or the 14-ounce box for $2.61?
A. 10-oz. box
B. 14-oz. box
Answer:
b 14oz .box
Step-by-step explanation:
10 oz cost 1.86
1 oz is .19 cents
14 oz cost 2.61
1 oz is .19 cents
so the for one oz is .19 cents for both of them
so chose 14 oz for 2.61 because it gives you more cereal for the same price per oz
can someone help me with this question, please?
Answer:
which question?
Step-by-step explanation:
I'm confused on what your trying to solve
A carpenter makes $24/hour and works a 40 hour week. The employer withholds $83 federa
tax, $74 FICA, and $41 state tax. The carpenter's take-home pay is
Answer:
762
Step-by-step explanation:
Since he makes 24 dollars a hour and he worked for a total of 40 hours that'll equal to 960 and when you subtract all the taxes away from his payment it'll equal to 762
The net income of the carpenter will be $762.
What is net income?
The amount paid by any company or industry to the employees after deductions of the several taxes is the net income.
Given that:-
A carpenter makes $24/hour and works a 40 hour week.The deductions are $83 federal tax, $74 FICA, and $41 state tax.So the net income of the carpenter will be calculated as:-
Gross pay will be = 24 x 40 = $960
Net income = 960 - ( 83 + 74 + 41 ) = $762
Hence the net income of the carpenter will be $762.
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need help with the problem.
a school principal of 790 students needs to determine what percent of students passed and did not pass a state wide examination.Round to the nearest percent.
a. if 570 students pass the exam, what percent passed the test?
B. what percent didn't pass the test?
Answer 40% passed
and 50% failed
Step-by-step explanation:
-
3/1
213
- 3)
-
Simplify the expression
properties of operations used.
Cite the
5
(please help if you can and thank you so much!) hurry
Answer:
7/10 or 0.7
Step-by-step explanation:
-3/2 (1/3 - 4/5)
(-3/2) (1/3 + -4/5)
(-3/2)(1/3) + (-3/2)(-4/5)
-1/2 + 6/5
7/10
I think this PDF should assist you in the property of operations for fractions and also help you in solving future problems.
What is the volume of this sphere?
Use a 3.14 and round your answer to the nearest hundredth.
10 yd
[tex]=Solution,\\\\Diameter(d)=10yd\\\\Radius(r)=10yd/2=5yd\\\\Now,\\\\Volume=\frac{4}{3} \pi r^{3} \\\\Volume=\frac{4}{3} *\pi*(5yd)^{3} \\\\Volume=\frac{4}{3}*3.14*125yd^{3} \\\\Volume=523.33yd^{3}[/tex]
Plss help i need it!
Answer:
A
Hope this helps!
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Because a line segment does not have two arrows on the end and it does not have one arrow and it does not have nothing some the correct answer is A
What is the measure of QS?
Check the picture below.
HELPPPPPPPPUJJJJ
PLEASEEEEEE
Answer (Left to right per row):
-1, 2, 4, 6, 6.9, 6.99, 6.999
Step-by-step explanation:
y is anything less than 7
consider the equation 36+ =6(6+5)
Answer:
36+30 = 6(6+5)
Step-by-step explanation:
We just simply expand the brackets:
6×6=36
6×5=30
30+36=76
so 76-36=30
So the missing number was 30
I need help asap please!!! "Find the measure of Arc AC in the figure below. Explain your answer by showing your steps or explain by writing 2-3 sentences. "
The angle measure of arc AC at the center of the circle is; 21°
Circle theoremsFrom the task content;
The angle subtended by the arc at the center of the circle is; (3x +9)°The angle subtended by the arc on the circumference of the circle is; (3x -1.5)°It follows that from circle theorems that; The angle subtended by an arc at the center of a circle is twice that which it subtends at the circumference.
Hence;
(3x +9)° = 2(3x -1.5)°3x +9 = 6x -33x = 12x = 4.
By substituting x= 4 into the expression; (3x +9)°
Hence, the angle subtended at the center of the circle is; 12+9 = 21°.
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Add 1/6 +3/4 + 2/3. Simplify the answer and write it as a mixed number, if possible.
Answer:
1 7/12
Step-by-step explanation:
Answer:
1 7/12
Step-by-step explanation:
Firstly, I'm not a native speaker, nor do we do mathematics in English but I'll explain it as I could possibly
Let all the denominators be 12, so multiplying 1/6 with 2, becomes 2/12
3/4 becomes 9/12 (multiplying with 3)
2/3 becomes 8/12
Adding them you get 19/12,
after you divide 19 by 12, the remaining is 7,
so as in mixed numbers, it's 1 7/12.
use data to create a scatter plot 100 points
Answer:
Look at attached image
Step-by-step explanation:
Graph using (X, Y)
Hope this helps!
PLS MARK BRAINLIEST!!!
Function of the
graph
SOMEONE HELP ME PLEASE AND THANK YOU!!!!! :D :"(
Answer:
what are the drop down words.
PLEASE HELP ME
Jane and Eric are helping their teacher buy supplies for a research project. Every student will get a bag with 2 pencils and 30 index cards.
The teacher gave Jane $17 to buy pencils from the school store. The pencils come in boxes of 12 and cost $1.69 per box.
Eric was given $19 to buy index cards at an office supply store. Index cards are sold in packs of 150 cards and cost $2.99 per pack.
Jane buys as many boxes of pencils as she can afford. Eric buys as many packages of index cards as he can afford. How many complete bags of supplies can they make?
Answer:
They can make 30 Bags total.
Step-by-step explanation:
Jane has $17. There are 12 pencils in each pack for $1.60.
Jane can bay 10 packs of 12 pencils for $16.9 or else she will go over the amount of money she has.
1.69 x 10 = 16.9
Eric has $19. There are 150 cards in one pack for $2.99.
Eric can bay 6 packs of 150 cards for $17.94 or he ill go over the amount of money he has.
2.99 x 6 = 17.94
Eric.
150^6 = 900
900/30 = 30
Jane.
12^10 = 120
120/2 = 60
60/2 = 30
Together.
30 cards can go into 30 bags, and 2 pencils can go into 30 bags
Help me please I beg if you can
Answer: The mean is 3780
Step-by-step explanation:
Mean is found by adding all values and dividing the sum by how many values were added.
4250+4019+3895+3739+3401+3376=22680
22680/6=3780
PLEASE HELP ME FIND THE CORRECT ANSWERS FOR QUESTIONS 2 AND 3!!!
I WILL MARK BRAINLIEST!!
Answer:
top one is a
Step-by-step explanation:
bottom is d
Given f(x) = 4x - 6 and g(x) = f(2x), write an equation for g.
f(x)=4x-6
g(x) = f(2x)
Substitute 2x into the first equation, which you get
f(2x)=8x-6
So, g(x)=8x-6What is the solution to the equation below?
-3 + square root 3x - 11 = 5
Answer:
25 is correct answer try it
Step-by-step explanation:
Answer:
25 is correct answer try it
squareroot (3x-11)^2=(5+3)^2
3x-11=64
3x=64+11
3x=75
x=25
a sprinter running in the olympics starts at the 0 meter mark and ends at the 400 meter mark. it took him 65 seconds to run this distance what is his velocity?
Answer:
I am not too sure but I think the answer would be 6
Step-by-step explanation:
What is correct answer for this question?
Answer:
0.47 dollars per kilogram and 2.14 kilograms per dollar should be it.
Please help! I will mark Brainliest.
Part A: Write an algebraic expression for 4 more than 3 times a number.
Part B: Write a verbal expression for 2(n + 9).
The line L1 is defined Ax + By = 3. The line L2 is defined by the equation Ax + By = 2. The line
L3 is defined by Bx − Ay = 1. Determine whether L1, L2 and L3 are parallel or perpendicular to each other.
Step-by-step explanation:
Line 1: Ax+By=3
By=-Ax+3
-> slope is -A/B
Line 2: Ax+By=2
By=-Ax+2
-> slope is -A/B
Line 3: Bx-Ay=1
Ay=Bx-1
-> slope is B/A
So lines 1,2 are parallel, and lines 1,3 and 2,3 are perpendicular
On many cell phones with GPS, an approximate location can be given before the GPS signal is received. This is done by a process called triangulation, which works by using the distance from two known points. Suppose there are two cell phone towers within range of you, located 6000 feet apart along a straight highway that runs east to west, and you know you are north of the highway. Based on the signal delay, it can be determined you are 5050 feet from the first tower, and 2420 feet from the second. Determine the angle, , between your line of sight to the first tower and the highway to the nearest tenth of a degree. (A calculator is needed for this question)
Answer:
it is A?? I'm not sure but Stan nct.....
how do you calculate percentile in excel? How many students scored lower than 490?
Mean 540
2.5% Bound 400
97.5% Bound 680
Student's Score 490
Write the ratio statement as a fraction and reduce to lowest te
20 pounds to 45 ounces
Answer:
5/9
Step-by-step explanation:
fraction: 20/45
lcd of 25 and 45 is 5
25 ÷ 5 = 5
45 ÷ 5 = 9
therefore; 5/9