In the diagram, m∠3 = 120° and m∠12 = 80°. Which angle measures are correct?Check all that apply.m∠1 = 60°m∠13 = 80°m∠6 = 80°m∠5 = 60°m∠10 = 120°m∠ 14 = 100°
Answers
we are given
m∠3 = 120° and m∠12 = 80°
we will check all
Calculation of m∠1:
we can see that angles 1 and 3 are linear
so, their sum must be 180
m∠1+m∠3 = 180°
now, we can plug values
m∠1+ 120°= 180°
m∠1=60°
Calculation of m∠13:
we know that
angles 12 and 13 are alternate angles
so, they must be equal
m∠13=m∠12 = 80°
m∠13= 80°
Calculation of m∠6:
we know that
angles 3 and 6 are alternate angles
so, they must be equal
m∠3=m∠6 = 120°
m∠6= 120°
Calculation of m∠5:
we know that
angles 1 and 5 are corresponding angles
so, they must be equal
m∠1=m∠5 = 60°
m∠5= 60°
Calculation of m∠10:
we can see that angles 10 and 12 are linear
so, their sum must be 180
m∠10+m∠12 = 180°
now, we can plug values
m∠10+ 80°= 180°
m∠10=100°
Calculation of m∠14:
we know that
angles 10 and 14 are corresponding angles
so, they must be equal
m∠10=m∠14 = 100°
m∠14= 100°
Answer:
A, B, D, F
Step-by-step explanation:
Well to summarize what the previous person mentioned:
1 = 60
13 = 80
6 = 120
5 = 60
10 = 100
14 = 100
So given that information the correct answers are:
A, B, D, F
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the measure of angle ∅=7*pi/6
the measure of its reference angle is?
remember that pi=180°
then
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What is the area of this trapezoid? 96 in² 132 in² 168 in² 1344 in² Trapezoid A B C D with parallel sides D C and A B. Points F and E are between D and C. F E B A form a rectangle with 4 right angles. D F is 3 inches, F E is 8 inches., E C is 3 inches., E B is 12 inches., and A B is 8 inches.
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132 〖in〗^2
Explanation
Although the diagram was not given, I was able to get it in the internet.
The area of a trapezium is found by the use of the following formula:
Area =1/2 h(a+b)
Where h is perpendicular distance between the two parallel lines, while a and b is are the lengths of the parallel lines.
In this question;
h=12 in
a=8 in
b=3+8+3=14 in
Area =1/2×12(8+14)
=6×22
132 〖in〗^2
Answer:
Option B. 132 inch²
Step-by-step explanation:
Since we know the formula to calculate the area of trapezoid is = [tex]\frac{1}{2}(height)(base)[/tex]
where height of the given trapezoid ABCD is side BE and two parallel sides are AB and DC.
It's given in the question
Side BE = 12 inches
AB = 8 inches
DC = (DF + FE + EC) = (3 + 8 + 3) = 14 inches
Now we put these values in the formula
Area of trapezoid ABCD = [tex]\frac{1}{2}(AB+CD).(BE) = \frac{1}{2}(8 + 14).(12)=\frac{1}{2}(22)(12)=(11).(12)=132[/tex]
Therefore answer is Option B. 132 inch²
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what is the volume of a cube with a side length of 5/6 cm
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because his goal is to bike 65 miles over the four days what equation can be used to find the number of miles he should bike on the first day
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Answer: 16.25
[tex]y = 65 \div 4[/tex]
The radius of a circle is 4 millimeters. What is the circle's circumference? r=4 mm Use 3.14 for .
Answers
The circumference of the circle is: 25.12 mm.
The Circumference of a CircleCircumference of a circle = 2πrGiven:
radius of circle = 4 mm
π = 3.14
Required:
Circumference of the circle
Thus:
Circumference of the circle = 2×3.14×4
Circumference = 25.12 mm
Therefore, the circumference of the circle is: 25.12 mm.
Learn more about circumference of a circle on:
https://brainly.com/question/20489969
The correct answer is the circle's circumference is approximately 25.12 millimeters.
To find the circumference of a circle, one can use the formula:
[tex]\[ C = 2\pi r \][/tex]
where [tex]\( C \)[/tex] is the circumference, [tex]\( \pi \) (pi)[/tex] is a mathematical constant approximately equal to 3.14, and [tex]\( r \)[/tex] is the radius of the circle.
Given that the radius [tex]\( r \)[/tex] is 4 millimeters, we can substitute the values into the formula:
[tex]\[ C = 2 \times 3.14 \times 4 \text{ mm} \][/tex]
Now, we perform the multiplication:
[tex]\[ C = 2 \times 3.14 \times 4 = 25.12 \][/tex]
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Answers
7[tex] x^{2} [/tex]+3 x - 16 + 88 ÷ 8 + [tex] 3^{2} [/tex]
49 + 3 x -16 + 88 ÷ 8 + [tex] 3^{2} [/tex]
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49 - 48 + 88 ÷ 8 + 9
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Your answer is 21.
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A marker is randomly selected from a drawer that contains 20 green, 44 orange, and 30 blue markers.Which statement is true?
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Draw three dimes 1 nickel and 2 pennies. Describe how to count on to find the total value of this group of coins
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6.
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8.
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A=[(6x)^2+7(6x)-120]/6
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Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Hence, the trucker traveled for 12 hours.
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Answers
To solve this problem, we need to simplify.
15 + w - 12 = 15 - 12 + w
3 + w = 3 + w
w = w
So, the answer is undefined, since w is not given.
Hope this helps!
Janice has car insurance that she must pay four times a year. If each payment is $156, how much money should she set aside each month to cover her car insurance? $13 $26 $39 $52
Answers
[tex]\left[\begin{array}{ccc}A&13&-\\B&26&-\\C&39&-\\D&52&Correct\end{array}\right][/tex]
you have a piggy bank containing a total of 93 coins in dimes and quarters. If the piggy bank contains $14.85, how many dimes are there in piggy bank
Answers
Let q = number of quarters.
The total number of coins is 93, so the first equation is
d + q = 93
The value of 1 dime is $0.10. The value of 1 quarter is $0.25.
d dimes are worth 0.1d, and q quarters are worth 0.25q.
The total value of the coins is $14.85, so that gives us our second equation.
0.1d + 0.25q = 14.85
Now we have a system of two equations in two unknowns.
d + q = 93
0.1d + 0.25q = 14.85
Rewrite the first equation. Then multiply both sides of the second equation by -10, and write it underneath. Then add the equations.
d + q = 93
-d - 2.5q = -148.5
------------------------
-1.5q = -55.5
Divide both sides by -1.5.
q = 37
Now substitute 37 for q in the first original equation and solve for d.
d + q = 93
d + 37 = 93
Subtract 37 from both sides.
d = 56
Answer: There are 56 dimes in the piggy bank.
It costs $7.00 to play a very simple game in which a dealer gives you one card from a deck of 52 cards. if the card is a heart, spade, or diamond, you lose. if the card is a club other than the queen of clubs, you win $11.50. if the card is the queen of clubs, you win $50.00. the random variable x represents your net gain from playing this game once, or your winnings minus the cost to play. what is the mean of x, rounded to the nearest penny?
a. $3.38
b. −$3.62
c. −$3.38
d. $3.62
Answers
If the card is a heart, spade, or diamond, you lose.
If the card is a club other than the queen of clubs, you win $11.50.
If the card is the queen of clubs, you win $50.00.
The random variable x represents your net gain from playing this game once, or your winnings minus the cost to play. What is the mean of x, rounded to the nearest penny?
------
Random "winnings"::.....-7.......4.50......43
Probabilities::........ 39/52....12/52....1/52
------------------------------------------------------
u(x) = [39*-7 + 12*4.5 + 43]/52 = -$3.38
What is the greatest fraction you can make using the digits 4, 7, and 9?
Answers
Answer:
(7^9)/4 = 40,353,607/4
Step-by-step explanation:
Assuming each digit is used once and exponentiation is allowed, the largest numerator and smallest denominator will result in the largest fraction.
__
If other functions, such as factorial are allowed, then there might need to be a limit on the number of times they are applied. For example,
(7!)^(9!)/4 has about 1 million digits
something like ...
((7!)^(9!))!/4 has many more digits than that
and you can keep piling on the factorial symbols to any desired depth.
if you live 1 mile from work and can walk 4mph how long will it take you to get to work
Answers
1 mile = 1/4 hour
1/4 hour = 15 mins
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Answer: It takes you 15 mins to walk to work
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