1. If m28 = 23°, find the measure of each missing angle. Give your reasoning.
a. m21 =
b. m 2 =
c. mZ3 =
d. m24 =
e. m25 =
f. m26 =
g. m27 =
Answers
Answer/explanation:
Given:
m<8 = 23°
a. m<1 = 180° - m<8 (corresponding angles theorem and supplementary angles theorem)
m<1 = 180 - 23 = 157°
b. m<2 + m<1 = 180° (linear pair)
m<2 + 157° = 180°
m<2 = 180° - 153° = 23°
c. m<3 = m<1 (vertical angles are congruent)
m<3 = 157°
d. m<4 = m<2 (vertical angles are congruent)
m<4 = 23°
e. m<5 = m<1 (corresponding angles)
m<5 = 157°
f. m<6 = m<8 (vertical angles are congruent)
m<6 = 23°
g. m<7 = m<5 (vertical angles are congruent)
m<7 = 157°
Related Questions
Mr. Jones and Mr. Smith both plan to retire in 5 years. Mr. Jones has invested $250 per
month in a 401k retirement account for 20 years, and Mr. Smith has invested $500 a month
in a 401k retirement account for 10 years. Mr. Jones and Mr. Smith invested in the same
accounts yielding the same interest rate. Which statement about the retirement investments
of Mr. Jones and Mr. Smith is most likely to be true?
Mr.Smith will have more money saved because he invested more money each month.
Mr. Smith and Mr. Jones will have the same amount in their retirement funds.
Mr. Jones will have more money because he invested for a longer period of time.
cannot determine
Answers
Answer:
i don't know, i just want to know if you got it right
Step-by-step explanation:
The correct statement (C) "Mr. Jones will have more money because he invested for a longer period of time" is correct.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
It is given that:
Mr. Jones and Mr. Smith both plan to retire in 5 years.
From the formula:
The rate of interest is the same for both cases.
The duration for Mr. Jones is 20 years
The Initial investment amount for Mr. Jones = $250
The duration for Mr. Smith is 10 years
The initial investment amount for Mr. Smith = $500
Mr. Jones will have more money because he invested for a longer period of time.
Thus, the correct statement (C) "Mr. Jones will have more money because he invested for a longer period of time" is correct.
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Isaaq put 2b + 3 dollars in the bank in the first week. The following week he doubled the first week’s savings and put that amount in the bank. The next week he doubled what was in the bank and put that amount in the bank. If he now has $477 in the bank, how much did he put in the bank the first week? Please add an numerical explanation
Answers
Answer:
The answer is $159
Step-by-step explanation:
2b + 3 - Day 1
4b + 6 - Day 2
6b + 9 - Day 3
477=6b+9
-9 -9
468=6b
78=b
(2x78) + 3 = 159
The answer is $159
plz help ASAP please please
Answers
Answer:
9030.75
Step-by-step explanation:
5039.16/.558=9030.752688
round to the nearest hundredth
9030.75
i think
What is the QUOTIENT of 16.8 and 4.4 ?
Answers
Answer:
3.81
Step-by-step explanation:
There could be ___ solutions to an inequality.
three
common
infinitely many
two
Answers
Inequality has a set of solutions there could be infinitely many solutions to inequality.
What is inequality?A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
Let's consider inequality,
n > 3 where n is the natural number.
Now 4,5,6,7.... up infinite will be the solution of the inequality.
Therefore, inequality consists of infinitely many solutions.
Hence "Inequality has a set of solutions there could be infinitely many solutions to inequality".
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please help this is very urgent!!! :((((
Answers
Answer:
7
Step-by-step explanation:
x = 2
3x/2+4
3(2)/2 + 4
3+4
7
We went to the market to buy some fruit. We decided to buy some apples, strawberries, and oranges. If we buy 2 apples, 3 boxes of strawberry, and 4 oranges, the fruit would cost $15.30. If we buy 1 box of strawberry, 4 apples, and 2 oranges, the fruit would cost $10.90. If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70. Use the Gaussian Elimination Method to solve for the price of each fruit.
Answers
Step-by-step explanation:
Let the amount of apples bought be x
Amount of strawberries bought be y and;
amount of oranges bought be z
If we buy 2 apples, 3 boxes of strawberry, and 4 oranges, the fruit would cost $15.30, then this will be expressed as;
2x+3y+4z = 15.30 ........... 1
If we buy 1 box of strawberry, 4 apples, and 2 oranges, the fruit would cost $10.90, this will be expressed as:
4x+y+2z = 10.90 ......... 2
If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70, this is expressed as:
5x+2y+x = 13.70 .......... 3
Solving the three equations simultaneously:
2x+3y+4z = 15.30 ........... 1
4x+y+2z = 10.90 ......... 2
5x+2y+z = 13.70 .......... 3
Reduce the number of equations
multiply equation 1 by 2 and subtract from equation 2
equation 1 * 2 will give:
4x+6y+8z = 30.6 ........... 4
eqn (4)-eqn(2)
6y-y + 8z-2z = 30.6-10.90
5y+6z = 19.7 ......... 5
Also multiply equation 2 by 5 and eqn 5 by 4 and subtract from each other.
eqn(2)* 5 will give:
20x+5y+10z = 54.5 .......... *
eqn(3) * 4 will give
20x+8y+4z = 54.8.......**
Subtsrct ** from *
8y-3y+(4z-10z)= 54.8-54.5
5y-6z = 0.3 .................. 6
Equate 5 and 6 and solve:
5y+6z = 19.7 ......... 5
5y-6z = 0.3 .................. 6
subtract:
6z+6z = 19.7+0.3
12z = 20
z = 20/12
z = 1.67
Substitute z = 1.67 into eqn 6
5y-6(1.67) = 0.3
5y - 10 = 0.3
5y = 10.3
y = 10.3/5
y = 2.06
Substitute z = 1.67 and y = 2.06 into equation 1
From 1:
2x+3y+4z = 15.30
2x+3(2.06)+4(1.67) = 15.30
2x+6.18+6.68 = 15.30
2x+12.86 = 15.30
2x = 15.30-12.86
2x = 2.44
x = 2.44/2
x = 1.22
Therefore 1 apple costs $1.22, 1 strawberry costs $2.06 and 1 orange costs $1.67
What would be the first step you would take in simplifying 6 - 3 + 5 x 2 ?
Answers
Answer: multiply 5x2 first
Step-by-step explanation:
Answer:
5 × 2
Step-by-step explanation:
PEMDAS:
P: Parethises
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction
Since multiplying is before adding and subtracting you multiply first.
Answer:
5 × 2
How many quarts are in 583.7 liters?
Answers
Answer:
616.788
OR
616.79 (rounded answer)
Step-by-step explanation:
Answer:
616.78891
Step-by-step explanation:
1 liter is 1.05669 quarts
Good luck!
Which of the following is true about the function above? - Apex
Answers
Answer:
The answer is B, The domain is (-4, infinite) and it's range is (0, infinite)
Step-by-step explanation:
If we graph this equation, we can see that x=-4 is the ascending point on the graph, infinitely continuing upwards, giving us -4, infinite. The range, however is found with infinitely continuing off the graph to the right, making it a positive infinitely for the y value as it is NOT a steady straight line.
Find the slope help plz
Answers
Answer:
The slope would be 10/15 or 2/3 in simplest form.
The function y = $14.99 + $1.25x represents the price y for a pizza with x toppings. Which is not a reasonable range value for this function?
A. $18.25
B.$21.24
C.$17.49
D.$14.99
Answers
Consider the complex number i 6.
What is the real part?
Answers
Answer:
For example, 2 + 3i is a complex number. ... The real number a is called the real part of the complex number a + bi; the real number b is called its imaginary part. To emphasize, the imaginary part does not include a factor i; that is, the imaginary part is b, not bi.
Fabio is driving west away from Albany and towards buffalo along interstate 90 at a constant rate of speed of 62 miles per hour. After driving for 1.5 hours Fabio is 221 miles from Albany
Answers
Answer:
The distance between Albany and Buffalo along the I90 is 288.8 mi.
The speed of Fabio is 62 mph.
After 1.5 hours, he is 221 miles from Albany.
Things we can calculate here:
Using the relation:
Distance = time*speed.
We can calculate the number of miles that he moved in that 1.5 hours.
D = 62mph*1.5h = 93mi.
If after 1.5 hours, he was 221 miles Albany, then before that he was 93 miles closer to Albany.
His initial position was:
221 - 93 = 128 miles away from Albany.
Now we also can calculate the time left to arrive at Buffalo.
We know that the distance between Albany and Buffalo is 288.8 mi
And he is 221 mi away from Albany.
Then the distance left to Buffalo is:
288.8mi - 221mi = 67.8mi
And the time left will be:
Distance/speed = time
67.8mi/62mph = 1.1 hours.
He needs to drive for another 1.1 hours to get to Buffalo.
The ratio of basketballs to volleyball in the gym is 3 to 5. If there are 60 volleyball in the gym, how many basketballs are there?
Answers
I need Your help plish
Answers
Answer:
5
Step-by-step explanation:
Because there is zones
Point P'(-3, 2) is the image of point P(3, 8) under a translation. What is the image of (0, -6) under the
same translation?
Answers
Answer:
The image of the point (0, -6) under the same translation is (-6, -12)
Step-by-step explanation:
Let us revise the rules of translation
If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)∵ The coordinate of point P are (3, 8)
∵ The coordinates of its image P' are (-3, 2)
→ The x-coordinate is changed from 3 to -3, that means the point
translated to the left by h units
∵ h = -3 - 3
∴ h = -6
→ The y-coordinate is changed from 8 to 2, that means the point
translated down by k units
∵ k = 2 - 8
∴ k = -6
→ By using the rule above
∴ The rule of translation is (x, y) → (x - 6, y - 6)
∵ The coordinates of the point are (0, -6)
∴ The coordinates of its image are (0 - 6, -6 - 6)
∴ The coordinates of its image are (-6, -12)
Which of the following is equivalent to 5x-6y=20?
A y=5/6x
B y=5/6x-10/3
C y=6/5x+4
D y=-5/6x
Answers
Answer:
y = [tex]\frac{5}{6}[/tex]x - [tex]\frac{10}{3}[/tex]
Step-by-step explanation:
Given expression:
5x - 6y = 20
To solve this problem, we make y the subject of the expression:
Solution
5x - 6y = 20
Add -5x to both sides of the expression;
-5x + 5x - 6y = 20 + (-5x)
-6y = 20 - 5x
Now, multiply both sides by [tex]-\frac{1}{6}[/tex] ;
[tex]-\frac{1}{6}[/tex] x (-6y) = [tex]-\frac{1}{6}[/tex] (20 - 5x )
y = [tex]-\frac{20}{6}[/tex] + [tex]\frac{5}{6}[/tex]x
y = [tex]\frac{5}{6}[/tex]x - [tex]\frac{10}{3}[/tex]
The cost of Veronica's dinner is $13.75 she leaves a tip that is 18% of the cost of dinner how much tip did she leave for her server?
Answers
Answer:
2.48$
Step-by-step explanation:
You can say that the tip is ? of of 13.75 and written as
[tex]\frac{?}{13.75}[/tex] and .18 is [tex]\frac{18}{100}[/tex] cross multiply these so
13.75 x 18 = 100?
247.5 = 100?
2.475 = ?
then round up
Rewrite the equation in proper standard form equation 1/4x- 3/4y = -3
Answers
A marathon is 26.2 miles long. There is a water station every 114 miles along the race route. How many water stations are needed for this marathon? here is the "answer" aka the options you have. 12,16,21,26. Please help me!!!!!!!!
Answers
Answer:
I think 21
Step-by-step explanation:
At SMS, students were encouraged to wear school colors of blue and white. 900 Students wore their school colors while 300 students did not. What percent of the school population did not wear school colors?
Answers
Answer:
audududheyeheheh gay
-2x+5<11
someone help asap
Answers
Answer:
x > - 3
Step-by-step explanation:
Given
- 2x + 5 < 11 ( subtract 5 from both sides )
- 2x < 6
Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.
x > - 3
150 ml of orange juice has a mass of 200g. What is the density?
Answers
idkkk what it is I accidentally pressed a
Answers
The inequality will be x ≥ 2.
What is an inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given is an inequality, 4x - 3 ≥ 5,
We need to solve for x,
4x - 3 ≥ 5
Add 3 to both sides,
4x - 3 + 3 ≥ 5 + 3
4x ≥ 8
Divide the inequality by 4,
4x / 4 ≥ 8 / 4
x ≥ 2
Hence the inequality will be x ≥ 2.
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Help help me plsssssSss
Answers
Answer:
Step-by-step explanation:
it is that because it equalls with positives numbers and if u do your calculation maybe youll undestand
3(3x - 1) + 2(3 - x) = 0
Answers
Answer:
-3/7
Step-by-step explanation:
set up proportion and solve
Answers
Answer:
A.
Step-by-step explanation:
The Answer is A
HELP!! Check the following sets that are closed under the given operations!!!!
Answers
Answer:
DONDODA
Step-by-step explanation:
3.4 x 10^3 in standard notation
Answers
Answer:3400
Step-by-step explanation:
Answer:
3240
Step-by-step explanation:
3.24
×
10
3
=
3.24
×
1000
This means you move the decimal spot 3 digit spaces to the right.
Count 3 spaces:
3.2.4.0 →
3240
So then your number becomes
3240