Review: Angle Bisectors
A
Directions: Label the diagram with the
proper congruence markings and known
measurements.
Answers
Answer:
m∠AOC = 15°m∠BOC = 15°Step-by-step explanation:
Given the angle ∠AOB
It is stated that CO is the angle bisector of ∠AOB.
Given that ∠AOB = 30°
As we know that the angle bisector bisects the angle into two equal angles.
Thus, the angle bisector CO bisects the angle ∠AOB into two equal angles, which are:
m∠AOCm∠BOCas
∠AOB = 30°
Thus, the two formed angles i.e m∠AOC and m∠BOC by the angle bisector would be half of the angle bisector as the angle bisector bisects the angle ∠AOB into two equal angles.
Therefore,
m∠AOC = 15°m∠BOC = 15°Related Questions
Marvin is making lemon bread and pumpkin bread for a school bake sale. he needs 4 and 1/2 cups of flour for the lemon bread and 1 and 1/2 times as much flour for the pumpkin bread. he only has 2 and 1/8 cups of flour left in his pantry, so he buys a new bag from the grocery store. how much flour will marvin use from the new bag? write your answer as a whole number, fraction, or mixed number. simplify any fractions.
Answers
[tex]\frac{73}{8}[/tex] cups or [tex]9\frac{1}{8}[/tex] cups or 9.125 cups of flour will be used from new bag.
Flour required for lemon bread = [tex]4\frac{1}{2}[/tex] cups
Flour required for lemon bread = [tex]\frac{(4*2)+1}{2}[/tex]
Flour required for lemon bread = [tex]\frac{9}{2}[/tex] cups
Flour required for pumpkin bread = [tex]1\frac{1}{2} * \frac{9}{2}[/tex]
Flour required for pumpkin bread = [tex]\frac{(2*2)+1}{2}* \frac{9}{2}[/tex]
Flour required for pumpkin bread = [tex]\frac{5}{2}*\frac{9}{2}[/tex]
Flour required for pumpkin bread = [tex]\frac{45}{4}[/tex] cups
Now, the amount of flour Marvin already has = [tex]2\frac{1}{8}[/tex]
The amount of flour Marvin already has = [tex]\frac{(2*8)+1}{8}[/tex]
The amount of flour Marvin already has =[tex]\frac{17}{8}[/tex] cups
The amount of flour needed from new bag = [tex]\frac{45}{4}-\frac{17}{8}[/tex]
Taking LCM, we get 8
The amount of flour needed from new bag = [tex]\frac{(45*2)-17}{8}[/tex]
The amount of flour needed from new bag = [tex]\frac{90-17}{8}[/tex]
The amount of flour needed from new bag = [tex]\frac{73}{8}[/tex] cups
Hence, the amount of flour that will be used from new bag is [tex]\frac{73}{8}[/tex] cups or [tex]9\frac{1}{8}[/tex] cups or 9.125 cups.
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Please helpppp!
Find the measure of central angle YZU
Thank you!
Answers
Meghan reduced the size of a rectangle to a height of 2 inches. What is the new width if it was originally 24 inches wide and 12 inches tall?
Answers
Answer:
Step-by-step explanation:
2/12 = 1/6
24 * 1/6 = 4
or
12/24 = 2/x
12 x = 48
x = 4
or the original width was twice the length
twice 2 is 4
The three line segments dividing the two sides of the triangle shown are parallel to the base of the triangle.
Answers
WILL GIVE BRaINLISt!!
2. Draw the following lines and then write an equation for each
a. Slope is 0, y-interceptis 5
b. Slope is 2, y intercept is -1
c. Slope is -2, y-intercept is 1
d. Slope is }, y-intercept is -1
Answers
Answer:
b
Step-by-step explanation:
Landon left his house at time zero and drove to the store, which is 6 blocks away, at a speed of 3 blocks per minute. Then he stopped and went into the store for 7 minutes. From there, he drove in the same direction at a speed of 2 blocks per minute until he got to the bank, which is 4 blocks away from the store. He stopped at the bank for 5 minutes. Then he drove home at a speed of 5 blocks every minute. Make a graph of showing the number of blocks away from home that Landon is xx minutes after he leaves his house, until he gets back home.
Answers
Answer:
Step-by-step explanation:
The route Landon took starting at time t = 0 is
Home ⇒ Store ⇒ Bank ⇒ Home
Let's compute cumulative distances(in terms of blocks) and cumulative time using Landon's speed and stay at various places in order to plot a graph. (Note: cumulative means total so far; we add current value to previous total)
The graph will have cumulative time t (in minutes) on the X-axis and cumulative distance d (in terms of blocks) on the Y-axis. We will indicate Landon's position at any time with the coordinates (t, d)
At time t=0 Landon is at home so d = 0Landon's position at time t=0 is (0, 0) Home ⇒ Store
Total distance traveled = 6 blocks at a speed of 3 blocks per minute
Time taken to reach store = 6/3 = 2 minutes.
Cumulative time t = 0 + 2 = 2 minutes
Cumulative distance = 0 + 6 = 6 blocks
Landon's position is (2, 6)
Landon stayed at the store for 7 minutes. So between t=2 and t=2+7 distance remains unchanged
Cumulative time = 2 + 7 = 9 minutes
Cumulative distance = 6 + 0 = 6 blocks
Landon's position at t = 9 is (9, 6)
Store ⇒ Bank
Speed was 2 blocks per minute and covered 4 blocks
So time taken = 2 minutes
Cumulative time t = 9 + 2 = 11 minutes
Cumulative distance d = 6 + 4 = 10 blocks.
So Landon's position is (11 , 10)
Bank Stop : 5 minutes
Cumulative Time t = 11 + 5 16 minutes
Cumulative distance d = 10 + 0 = 10 blocks (distance unchanged)
Landon's position: (16, 10)
Bank ⇒ Home
Total distance covered = 10 blocks at a speed of 5 blocks per minute
Time taken = 10/5 = 2 minutes
Cumulative time t = 16 + 2 = 18 minutes
Distance from home is 0
Landon's position is (18, 0)
Plot these boldfaced values on a graph and connect them with line segments to get the graph
An employee receives a 2% raise once per year. If the employee's initial salary is $52,400.00, What will the employee's salary be after 16 years?
Answers
The employee will receive a percentage raise after 16 years is $69,168
How to calculate the employee salary after 16 years ?The first step is to calculate the percentage raise of the salary per year
= 2/100 × 52,400
= 0.02 × 52,400
= 1,048
The next step is to multiply 1,048 by the number of years
= 1048 × 16
= 16,768
The salary after 16 years can be calculated as follows
= 52,400 + 16,768
= 69,168
Hence the employee salary after 16 years is $69,168
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What is the answer to (3-4i)(5+6i)
Answers
15+18i-20i-24i^2
15+18i-20i+24=
39-2i
Answer:
39 - 2i
Step-by-step explanation:
First, you need to FOIL the equation:
[tex](3 - 4i)(5 + 6i) \\15 + 18i - 20i - 24i^2\\15 - 2i - 24(-1)\\15 - 2i + 24\\39 - 2i\\[/tex]
Remember that [tex]i^2[/tex] equals -1.
Therefore, the answer to this question is 39 - 2i
I hope this helps!!
- Kay :)
can someone help, and explain how to do this, it would be greatly appreciated
Answers
Answer:
14
Step-by-step explanation:
EG is the full segment and is is stated that F is the midpoint which means it divides the full segment into two equal parts.
So the value of the full segment is given as 28 then the half of the segment, from E to F, would be 14.
Three partners x,y and z contribute an amount of ksh 1400000 for an investment .The profit from the investment is to be shared based on the contribution of each.A profit of ksh 250000 after one month.If x got sh 60000, y got 110000 and the remainder was Z .Calculate the ratio of the contribution
Answers
Answer:
The ratio of the contribution x:y:z is 6:8:11
Step-by-step explanation:
Firstly, we need to know the amount in which Z got
That will be 250,000-x-y
= 250,000- 60,000 - 110,000 = 80,000
So the ratio of the contribution in x:y:z will be;
60,000:110,000:80,000
= 6:11:8
Elena gets a base pay of $1,500 per month. She also earns a commission of 8% of the total sale dollars that she sells. What is Elena's earnings for a month in which she has sales of $32,000?
Answers
Answer:
4060
Step-by-step explanation:
because 8 percent of 32000 is 2560.
then you add 2560 and 1500 and you get 4060!
hope this helps!!
Which of the k values are solutions to the following equation?
k2 = 0.49
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but because there no answer which contains both i think u should mark E
9. What is the Greatest Common Factor (GCF) of 9 and 12? *
108
о
O 36
o
9
3
Answers
Answer:
3
Step-by-step explanation:
We found the factors and prime factorization of 9 and 12. The biggest common factor number is the GCF number. So the greatest common factor 9 and 12 is 3.
Hope this helps!
soo like anybody up still?
orrrr..
Answers
Answer:
yes we chilling hbu gee
Answer:
hello
I am Shashwat
thanks for free point
Maria solved an equation as shown below.
3 (x + 6) = 5 (x minus 4). 3 x + 18 = 5 x minus 20. 38 = 2 x. 19 = x.
What is the solution to Maria’s equation?
19
38
no solution
infinitely many solutions
Answers
Answer:
19
Step-by-step explanation:
3 (x + 6) = 5 (x - 4).
3x + 18 = 5x - 20.
38 = 2 x.
19 = x.
Answer:
19
Step-by-step explanation:
A student's grade in a Psychology course is comprised of tests (40%), quizzes
(20%), papers (20%), and a final project (20%). His scores for each of the
categories are 85 (tests), 100 (quizzes), 92 (papers) and 84 (final project).
Calculate his overall grade.
Answers
9 pounds of kitty litter cost $8.64. What is the price per ounce?
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Answer:
the litter costs $0.06 per ounce, since there is 16 ounces in a pound and 9 pounds meaning g there is 144 ounces 8.64 ÷ 144
Can someone please help me
Answers
Help ill give brainlist
Answers
A= 2x10=20
20-16=4
Ratio is 1:3
So 12divided by 3 = 4
In triangle ABC, AC = 8 cm, BC = 5 cm, and mZACB = 30°.
Exactly how long is AB ?
Answers
(3, 6) and (-2,5)
find the slope
Answers
Slope = 1/5 = 0.2.
You're welcome
PLS, I NEED HELP!!! 7TH GRADE MATH
Answers
Answer:
A. TRUE
B. FALSE
C. TRUE
D. TRUE
Lily wants to buy a cow but can't afford the $25 it costs. Later in the year it is at an affordable $15 and Lily can buy it. What percentage of a
discount was on the cow? Please explain :)
Answers
Answer:
There was 60% discount on the cow.
Step-by-step explanation:
Cost of cow = $25Latest price = $15Discount can be calculated by dividing the latest price by the original price and multiplying by 100.
Thus,
percentage discount = 15/25 × 100
= 0.6 × 100
= 60%
Thus, there was 60% discount on the cow.
which statements describe transformations performed in f (x) = x^2 to create g (x) = 2x^2 + 5? select all that apply.
a. a vertical stretch with a scale factor of .5
b. a translation of 5 units to the right.
c. a translation of 5 units up.
d. a vertical stretch with a scale factor of 2.
Answers
Answer:
The statements describe transformations performed in f(x) to create g(x) are:
a translation of 5 units up ⇒ c
a vertical stretch with a scale factor of 2 ⇒ d
Step-by-step explanation:
If f(x) stretched vertically by a scale factor m, then its image g(x) = m·f(x)If f(x) translated vertically k units, then its image h(x) = f(x) + kLet us use these rule to solve the question
∵ f(x) = x²
∵ g(x) is created from f(x) by some transformation
∵ g(x) = 2x² + 5
→ Substitute x² by f(x) in g(x)
∴ g(x) = 2f(x) + 5
→ Compare it with the rules above
∴ m = 2 and k = 5
→ That means f(x) is stretched vertically and translated up
∴ f(x) is stretched vertically by scal factor 2
∴ f(x) is translated 5 uints up
The statements describe transformations performed in f(x) to create g(x) are:
a translation of 5 units upa vertical stretch with a scale factor of 2can anyone help on this?
Answers
Answer: A
Step-by-step explanation:
Q6: Women's heights have a mean of 63.6 inches and a standard deviation
of 2.5 inches. What is the z-score corresponding to a woman with a height
of 70 inches? Is this usual or unusual?
A. Z-score is 2.56 and is usual. B. Z-score is 2.56 and is unusual
C. Z-score is -2.56 and is usual D. Z-score is -2.56 and is unusual
Answers
Answer:
A
Step-by-step explanation:
Hopefully this helps
Which equation has no solution?
O l-2x + 81 = 0
O [3x + 61 = 6
o 14x - 2) = -6
O 1-2 - x| = 9
Answers
Answer: |4x-2|=-6
Step-by-step explanation:
This has no solution
The equation that has no solution is | 4x - 2 | = -6.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
| -2x + 8 | = 0: This equation has only one solution, which is x = 4. When we take the absolute value of any number, the result is always non-negative (i.e., greater than or equal to zero).
Therefore, the absolute value of -2x + 8 can only be zero if -2x + 8 itself is zero. Solving for x, we get x = 4.
| 3x + 6 | = 6: This equation has two possible solutions, which are x = 0 and x = -4. When we take the absolute value of 3x + 6, the result can be either positive or negative, depending on the value of x.
Therefore, we need to solve two separate equations: 3x + 6 = 6 and 3x + 6 = -6. Solving for x in each case, we get x = 0 and x = -4.
| 4x - 2 | = -6: As I mentioned in my previous answer, this equation has no solutions.
An absolute value cannot be negative or equal to a negative number, so there is no value of x that would make the left-hand side of the equation equal to -6.
| -2 - x | = 9: This equation has two possible solutions, which are x = -11 and x = 7. When we take the absolute value of -2 - x, the result can be either positive or negative, depending on the value of x.
Therefore, we need to solve two separate equations: -2 - x = 9 and -2 - x = -9. Solving for x in each case, we get x = -11 and x = 7.
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3. Which of the following are equivalent to the ratio 2:3? (select all that apply)
a. 3:4.5
b. 6.5:9.75
C. ½ : ½
d. ¾:1
e. 10:12
Answers
So multiplied by 2 is 2:3.
Use Pythagorean Theorem to solve for D. Round your answer to the nearest tenth
A. 12.6
B. 18.9
C. 13.2
D. 19.1
Answers
Answer:
18.9
Step-by-step explanation:
hope this helps
Can someone help me this math question
Answers
but i’m not sure about the rest sorry !