====================================================
Explanation:
Check out the diagram below. I recreated the diagram in your textbook, but I added on a few other points and segments.
Point E is the midpoint of segment AB. Segment OE is perpendicular to AB.
Point F is the midpoint of CD. Segment OF is perpendicular to CD.
Right triangle AOE forms with OA = 10 as the hypotenuse (radius of the circle) and AE = 8, since E cuts AB in half.
Use the pythagorean theorem to find that...
a^2+b^2 = c^2
(AE)^2 + (OE)^2 = (OA)^2
8^2 + (OE)^2 = 10^2
64 + (OE)^2 = 100
(OE)^2 = 100-64
(OE)^2 = 36
OE = sqrt(36)
OE = 6
--------------------
Because chord CD is the same length as chord AB, this means the chords are the same distance from the center point O.
So, OE = OF = 6
Since we have rectangle OEPF, the opposite sides are congruent and we can say OF = EP = 6
Now focus on right triangle OEP. Use the pythagorean theorem again
a^2+b^2 = c^2
(OE)^2 + (EP)^2 = (OP)^2
(6)^2 + (6)^2 = (OP)^2
72 = (OP)^2
(OP)^2 = 72
OP = sqrt(72)
OP = sqrt(36*2)
OP = sqrt(36)*sqrt(2)
OP = 6*sqrt(2)
Solve problem-4/9 - 8/9 =?
The store clerk has 21 mugs to display on shelves. She wants to display a equal number of mugs on each shelf with no mugs left over. Which problem below shows a way she can do this? A. 21 DIVIDED BY 2 B. 21 DIVIDED BY 5 C. 21 DIVIDED BY 7 D. 21 DIVIDED BY 10
−7+3(−4e−3) equivalent expression
Dina wrote the expression 65 + 45. Chung used the greatest common factor of those two numbers to write an equivalent expression. Which expression did Chung write?
5(13 + 9)
13(5 + 2)
5(13 + 3)
15(5 + 3)
18x (14 - 9) ÷[12 - (19 - 13)] = what is the answer
Answer:
15
Step-by-step explanation:
18 . ( 14 - 9 ) ÷ [ 12 - ( 19 - 13 ) ]
18 . ( 5 ) ÷ [ 12 - 6 ]
90 ÷ 6
15
Need help quick please need it really bad
[tex]7x + 3 = 4x + 15[/tex]
Both sides minus 3
[tex]7x = 4x + 15 - 3[/tex]
[tex]7x = 4x + 12[/tex]
Both sides minus 4x
[tex]7x - 4x = 12[/tex]
[tex]3x = 12[/tex]
Divided both sides by 3
[tex]x = \frac{12}{3} \\ [/tex]
[tex]x = 4[/tex]
Write the equation of the line that passes through the following two points (2, 7) and (0, 1)
Answer:
F(X)= 3x + 1
Step-by-step explanation:
Simplify the following expression:
2x − 2y + 5z − 2x − y + 3z NEED HELP PLZ :(
A x − 3y + 8z
B 2x − 2y + 8z
C 3y + 8z
D−3y + 8z
Answer:
D) -3y + 8z
Step-by-step explanation:
2x - 2y + 5z - 2x - y + 3z
first, group the same variables together.
2x - 2x - 2y - y + 5z + 3z
then, this step which I don't have a name for.
2x - 2x = 0x.
-2y - y = -3y
5z + 3z = 8z
0x - 3y + 8z
or, -3y + 8z
i don’t understand the process to get the answer:(
Answer:
D
Step-by-step explanation:
Need help don't know what to do!
Answer:
1) 15x+10=130 (corresponding angles)
15x=120
x=120/15
x=8
2) 60+128+x=180 (angle to straight line)
188+x=180
x=180-188
x=-8
3) 12x+8=13x+2
12x-13x=2-8
-x=-6
x=6
4) 115+16x+1=180 (co interior angles)
116+16x=180
16x=180-116
16x=64
x=64/16
x=4
HELP! I CANT GET ANY WRONG
Landrie is selling bracelets and earrings to make money for a SUP (Standup Paddle Board) has a goal to earn $500. She plans on selling the bracelets for $2 and the earrings for $3. If she has the materials to make a total of 190 items, how many of each item must she make to accomplish her earning goals?
Answer:
120 earrings and 70
Step-by-step explanation:
Answer:120,70
Step-by-step explanation:
120 and 70
2). Bill has twice as many candies as Fred. Tim has 3 fewer than 3 times as many candles as Fred.
In all, they have 177 candies. How many do they each have?
Step-by-step explanation:
Answer:-[tex]\tt{Let \ the \ candies \ taken \ by \ Fred \ be \ x.}[/tex]
Now, let's Solve!
So, according to Question,
Bill = 2x
Tim = 3x-3
Total Candies = 177.
[tex]\bf{x+2x+3x-3=177}[/tex]
Totalling x,
[tex]\bf{6x-3=177}[/tex]
[tex]\bf{6x=177+3}[/tex]
[tex]\bf{6x = 180}[/tex]
[tex]\boxed{\sf{x = 30}}[/tex]
So, Fred has 30 candies.
Bill's Candies = 2×30 = 60 Candies
Tim's Candies = 3×30-3 = 90-3 = 87 Candies.
Hope it helps :)
The area of a square ice rink is 400 yd.². What is the perimeter of the rink in yards
Answer:
80 yd^2
Step-by-step explanation:
Since the formula for squares is s^2, we can use this to set up an equation, which is
s^2=400
If we square root this, we get
s=20
The perimeter formula for a square is 4s, so if we plug in, we end up with 80 yd^2
Convert these please
Answer:
22.18mL147.42kg---637.14 lbs15.22mL--104 oz.12 g45.44 lbs3.59 pt43,000 mg105 tsp2,271.25 mL18tsp4 pt244.71 lbs219.99 kgs3.79 L3.96 g2,608.16 g145.4 tbsp99.22 g4.38 g10.57 pts135.26 oz1.73 LHow can you use the graph of a quadratic equation to determine the number of real solutions of the equation?
Answer:
Step-by-step explanation:
The number of real solution of a quadratic equation can be found from the number of x-intercepts on the graph. If the curve passes through the x-axis twice, (2 x-intercepts), then the equation has two real solutions.
If it passes through once, (the vertex is on x-axis), then there is one real solution, and if it does not touch the x-axis at all (floating above it or below it), then it has no real solutions.
Hope this helped!
PLZ HALP!!!!
You earned $96 babysitting for 12 hours last weekend. Write and solve a proportion to find how much you earned per hour?
Answer:
$8 per hr
Step-by-step explanation:
divide $96 by 12 hrs
Answer:
$20
Hope this helps! :)
Roberto deposited 860 in a new account that earns 6.5% simple interest. after 6 months, how much interest will he have earned?
Answer: $335.40
.....................................
Mrs. Coners grades 120 math tests in 3
hours. Mrs. Bing grades 100 math tests in
2 hours. Who grades math tests at a
quicker rate?
Answer: The answer is Mrs. Coners.
Explain: It is Mrs. Coners because she graded 60 math test pages 2 hours,
it would be 40 math test pages per 1 hour each. <-- (3 hours)
Mrs. Bing graded 50 math test pages 1 hour each. 50 times 2 = 100.
Therefore, your answer is Mrs. Coners.
#LearnWithBrainly!
A vertical line has points C, E, F from top to bottom. 2 lines extend from point E. One line extends to point A and another extends to point B. Angle A E C is 90 degrees.
Given that Ray E B bisects ∠CEA, which statements must be true? Select three options.
m∠CEA = 90°
m∠CEF = m∠CEA + m∠BEF
m∠CEB = 2(m∠CEA)
∠CEF is a straight angle.
∠AEF is a right angle.
Answer:
A, D, E
Step-by-step explanation:
Answer:
A. m ∠CEA = 90°
D. ∠CEF is a straight angle.
E. ∠AEF is a right angle.
Explanation: This is the correct answer on Edge 2021, just took the unit test. Hope this helps ^-^.
find the slope
!! help pls
Answer: 3
Step-by-step explanation:
Answer:
Rise 3
Run 1
Step-by-step explanation:
Rosa bought some notebooks that cost $2 each. She also bought a compass that cost $3. She spent a total of $25. How many notebooks did she buy.
Answer:
10 notebooks
Step-by-step explanation:
Answer:
7 notebooks
Step-by-step explanation:
6 x 87 is greater than 5 x 87. How much greater? Explain how you know without multiplying.
Answer:
6 is 1 bigger than 5
Step-by-step explanation:
Answer:
oasdkopdpoasdkpoadkaopsdkposposdadas
Step-by-step explanation:
75.64 rounded to the nearest 10th
Answer:
75.6
Step-by-step explanation:
75.64 rounded to the nearest 10th is 75.6.
The tenths place is 0.6, and since the next number is not larger than 5, the number is rounded to 75.6.
Answer:
75.6
Step-by-step explanation:
75.64
The 6 is in the tenths place.
Drop all digits to the right of the 6.
75.6
Since the leftmost digit you dropped is a 4, the 6 does not go up 1 to 7, so the answer is
75.6
Rewrite the equation below so that it does not have fractions.
4 - 2/3x = 5/6
Answer:
I think it's 19/4 because I looked it up and that's what it said
Identify decimals that round to either 22.7 or 22.8 when rounded to the nearest tenth. Drag all possible decimals to the correct location. Some decimals may not be used.
22.72 22.85 22.81 22.65 22.75 22.68 Rounds to 22.7
or Rounds to 22.8
Answer:
dk
Step-by-step explanation:
A bag with quarters and nickels contains 87 coins.The total amount is $7.35. How many quarter and nickels are in the bag
Answer: 72 nickels and 15 quarters
Step-by-step explanation:
72 times .05 = 3.6 or $3.60
15 times .25 = $3.75
Total = $7.35
.05 is representing the nickels and .25 is representing the quarters and if you take a calculator and do 87-72 you get 15 and you can set it up yourself to double check. But I wouldn't recommend doing it with pennies that's how I got confused so many times and you can also give yourself a similar problem if you want to make sure you know how to do it. Sorry if this was confusing.
WILL GIVE BRAINLIEST
Which mathematical property is illustrated? ab + c = c + ab
Answer:
Distributive Property
Step-by-step explanation:
a(b + c) = ab + ac
Answer:
Commutative property
Step-by-step explanation:
plz give brainliest lol
Polygon ABCD is reflected across line L to form ALBLCLDL. What is the relationship between line L and CCL?
Answer:
can you come help me with the top two questions on my profile
Step-by-step explanation:
Answer:
C) Line L is the perpendicular bisector of CCL
Step-by-step explanation: