Which pair of angles are interior angles?
A. 1 and 8
B. 3 and 6
C. 3 and 4
D. 3 and 5
Answers
3 & 5 are the interior angles
Answer is D
Related Questions
A recipe calls for 2 1/4 cups of sugar. You want to make only 1/3 of the recipe. how much sugar will you need?
Answers
Convert 2 1/4 to single fraction first
9/4 * 1/3 = 9/12 = 3/4 cup sugar
Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value of each. If a statements truth value is false, give a counterexample
Answers
and read "if p then q"
Let p be the proposition: Triangle ABC is a right triangle with m(C)=90°.
Let q be the proposition: The sides of triangle ABC are such that
[tex]|AB|^2=|BC|^2+|AC|^2[/tex].
An example of a conditional statement is : p⇒q, that is:
if Triangle ABC is a right triangle with m(C)=90° then The sides of triangle ABC are such that [tex]|AB|^2=|BC|^2+|AC|^2[/tex]
This compound proposition (compound because we formed it using 2 other propositions) is true. So the truth value is True,
the converse, inverse and contrapositive of p⇒q are defined as follows:
converse: q⇒p
inverse: ¬p⇒¬q (if [not p] then [not q])
contrapositive: ¬q⇒¬p
Converse of our statement:
if The sides of triangle ABC are such that [tex]|AB|^2=|BC|^2+|AC|^2[/tex]
then Triangle ABC is a right triangle with m(C)=90°
True
Inverse of the statement:
if Triangle ABC is not a right triangle with m(C) not =90° then The sides of triangle ABC are not such that [tex]|AB|^2=|BC|^2+|AC|^2[/tex]
True
Contrapositive statement:
if The sides of triangle ABC are not such that [tex]|AB|^2=|BC|^2+|AC|^2[/tex] then Triangle ABC is not a right triangle with m(C)=90°
True
Answer:
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Step-by-step explanation:
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kawawi ka naman
Rewrite 56 + 32 as the product of the GCF and a sum.
Answers
hope it helps
Final answer:
To rewrite 56 + 32 as the product of the GCF and a sum, calculate the GCF, which is 8. Then, express the sum as 8 times the sum of the numbers obtained by dividing 56 and 32 with the GCF. The rewritten expression is 8 × 11.
Explanation:
To rewrite the expression 56 + 32 as the product of their greatest common factor (GCF) and a sum, we first need to find the GCF of 56 and 32. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56. The factors of 32 are 1, 2, 4, 8, 16, and 32. The common factors are 1, 2, 4, and 8. The largest common factor is 8, which is the GCF.
Next, we divide both 56 and 32 by the GCF to find the other factor:
56 ÷ 8 = 7
32 ÷ 8 = 4
Now, we represent the original sum as the product of the GCF and the sum of the results from the division:
56 + 32 = 8 × (7 + 4)
When we simplify the sum inside the parentheses, we get:
8 × 11
Therefore, the expression rewritten as the product of the GCF and a sum is 8 × 11.
Divide 3x2 + 6 by 3x – 3.
Which expression represents the quotient and remainder?
x + 3x/3x - 3
x + 1 + 9/ 3x - 3
x - 9x/ 3x - 3
Answers
[tex] \frac{3 x^{2}+6}{3x-3}= x + 1 + \frac{9}{3x-3} [/tex]
The requried value of the given expression is (x² + 2)/x - 1.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
= 3x² + 6 / 3x - 3
= 3 [x² + 2] / 3 [x - 1]
= x² + 2 / x - 1
Thus, the requried value of the given expression is (x² + 2)/x - 1.
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convert the 5th root of x^3 into a rational expression and explain the steps
Answers
fifth root of n is;
n^(1/5)
And when there is x^3, the fifth root is multiply 1/5 with 3
x^3(1/5)
= x^(3/5)
So, this is the rational expression to write x^3.
Bill, bob, and barry are hired to paint signs. in 8 hours bill can paint 1 sign, bob can paint 2 signs, and barry can paint 1 and 1 / 3 signs. they all come to work the first day, but barry doesn't like the job and quits after 3 hours. bob works half an hour longer than barry and quits. how long will it take bill to finish 2 signs they were supposed to paint?
Answers
Bill: x = 1/8 signs/h
Bob: y = (2 signs)/(8 h) = 1/4 signs/h
Barry: z = (4/3 signs)/(8 h) = 1/6 signs/h
The job is to paint 2 signs, working together.
In the first 3 hours, the amount painted is
(x+y+z signs/h)*(3 h) = (1/8 + 1/4 + 1/6)*3 = 13/8 signs
Remaining: 2 - 13/8 = 3/8 signs
Barry quits.
In the next 1/2 hour (30 minutes), the amount painted is
(x + y signs/h)*(0.5 h) = (1/8 + 1/4)*0.5 = 3/16 signs
Remaining: 3/8 - 3/16 = 3/16 signs
Now Bob quits.
The time for Bill to finish the job is
(3/16 signs)/(1/8 signs/h) = 3/2 h
Answer: Bill finishes the job in 1.5 hours (or 1 hour, 30 minutes)
It will indeed take Bill 1.5 hours to finish the remaining [tex]\( \frac{3}{16} \)[/tex] signs.
Work done by Bill, Bob, and Barry collectively take the working efficiency in a defined time interval.
Barry's work in 3 hours:
[tex]\(3 \times \frac{1}{6} = \frac{3}{6} = \frac{1}{2} \text{ sign}\)[/tex]
Bob's work in 3.5 hours:
[tex]\(3.5 \times \frac{1}{4} = \frac{7}{8} \text{ sign}\)[/tex]
Bill's work for the same time until Bob leaves (3.5 hours):
[tex]\(3.5 \times \frac{1}{8} = \frac{3.5}{8} = \frac{7}{16} \text{ sign}\)[/tex]
Total work done by all three in the first 3.5 hours:
[tex]\[ = \frac{1}{2} + \frac{7}{8} + \frac{7}{16}\\= \frac{8}{16} + \frac{14}{16} + \frac{7}{16} \\= \frac{29}{16} \text{ signs} \][/tex]
Remaining work to be done:
[tex]\[ = 2 - \frac{29}{16} \\= \frac{32}{16} - \frac{29}{16} = \frac{3}{16} \text{ signs} \][/tex]
Time for Bill to complete remaining work:
Bill’s rate: [tex]\( \frac{1}{8} \text{ signs per hour}\)[/tex]
Time to paint [tex]\( \frac{3}{16} \text{ signs}\):[/tex]
[tex]\[ =\frac{\frac{3}{16}}{\frac{1}{8}} \\= \frac{3}{16} \times 8 = \frac{24}{16} = 1.5 \text{ hours} \][/tex]
Thus, It will indeed take Bill 1.5 hours to finish the remaining [tex]\( \frac{3}{16} \)[/tex] signs. This confirms that the correct answer is 1.5 hours.
simplify (8x3-5x-1)-(7x2+6x-10)
Answers
(19x-1)-(8x-10)
19x1-8x+10
11x+9
Which fraction has a value that's equal to 7/8
Answers
multiply both numbers by the same number
so multiply by 2 you get 14/16
multiply by 3 you get 21/24
and so on
what are the new coordinates for (1,4) when rotated 180 degrees and 90 degrees counterclockwise, and 90 degrees clockwise?
Answers
Hope I helped :)
If x , y and z Are whole numbers greater than 2 and If xyz2 = 735 What is the value of x+ y+z
Answers
735 = 3×5×7²
x= 3 and y= 5 and z= 7
or : x = 5 or y = 3 and z=7
x+y = 8
so : x+y +z = 8+7 =15
The value of x + y +z is 15.
A type of number that includes the natural number and zero.
It does not include fractions and decimals.
Odd numbers are those real numbers that are not divisible by 2.
The variables x, y, and z are whole numbers.
The value of x, y, and z is greater than 2
xyz² = 735
The value of x + y +z has to be determined.
Let x = 3 ,then by the given statement y = 5 and z = 7
These are odd numbers , greater than 2 and they hav a difference of 2 amongst them.
To check, they should satisfy xyz² = 735
= 3 * 5 * 7²
= 735
So these are the values of the variables and so,
The value of x + y +z is
= 3 + 5 + 7
= 15
It seems that your question is incomplete, the complete question is :
If x , y and z Are whole odd numbers, greater than 2 and the difference between each number is 2. If xyz2 = 735 What is the value of x+ y+z.
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List the sides of each triangle from shortest to greatest
Answers
Also, the smallest side, is opposite the smallest angle.
a.[tex]70^o\ \textgreater \ 60^o\ \textgreater \ 50^o[/tex] so [tex]|RQ|\ \textgreater \ |PR|\ \textgreater \ |PQ|[/tex],
because RQ is opposite angle P, the largest,
PR is opposite angle Q , the middle
and PQ is opposite angle R, the smallest.
Greatest side: RQ
b. The sum of the measures of the interior angles of any triangle is 180°,
so
[tex]m(A)+m(B)+m(C)=180^o\\\\50^o+45^o+x=180^o\\\\x=180^o-50^o-45^o=85^o[/tex]
thus, m(C) is the largest angle. This means the largest side is the side AB.
Answers:
a) RQ
b)AB
What is 1/4 (5y-3)+1/16 (12y+17
Answers
What is the question? If you are only trying to expand the expression then the answer would be:
1/4 (5y-3)+ 1/16 (12y+17)
(5y/4) – (3/4) + (12y/16) + (17/16)
1.25y – 0.75 + 0.75y + 1.0625
2y + 0.3125
If you are trying to find for y, then you forgot to equate it to 0, that is:
2y + 0.3125 = 0
2y = -0.3125
y = 0.15625
What is the area of this shape ?
Answers
12 *16 = 192
1/2 *20*10 = 100
192 +100 = 292 square units
Consider the trinomial below x^2-20x+91 The factors of the given trinomial are
Answers
x -13
x -7
your answer is (x - 13) (x - 7)
hope this helps
hope it helps
I can't do this and it's urgent
Answers
(for the second one) False; not all numbers ending in 3 are prime since some numbers like 63 have factors of 3 and 21.
R is the midpoint of QS, if QR=2x and RS=x+3, what is RS?
Answers
suppose this is your line,
R is the mid point
and it's given that
QR = 2x
and
RS = x+3
as R is the mid point of QS
so,
QR = RS
then,
2x = x + 3
2x - x =3
x = 3
as,
it's given that RS = x + 3
then,
RS = 3 + 3
= 6 units.
R is the midpoint of QS, if QR=2x and RS=x+3, then, the value of RS is:
RS is 6 units.
Here, we have that, R is the midpoint of QS, if QR=2x and RS=x+3.
Since R is the midpoint of QS, we know that QR is equal to RS.
Given that,
QR = 2x, and RS = x + 3,
we can set them equal to each other:
2x = x + 3
Now, let's solve for x:
2x - x = 3
x = 3
Now that we have the value of x, we can find RS:
RS = x + 3
RS = 3 + 3
RS = 6
So, RS is 6 units.
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Which of the following statements is not true?
The sum of two positive numbers is always positive.
The product of two negative numbers is always positive.
The sum of two negative numbers is always negative.
The quotient of two negative numbers is always negative.
Answers
Answer:
The false statement is d; the quotient of two negative numbers is always negative.
The false statement is The quotient of two negative numbers is always negative.
What are integers?The Latin term "Integer," which implies entire or intact, is where the word "integer" first appeared. Zero, positive numbers, and negative numbers make up the particular set of numbers known as integers.
Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)First, The sum of two positive numbers is always positive.
The statement is true.
For example, +3 + (+6)= +9
Second, The product of two negative numbers is always positive.
The statement is true.
For example, (-3) x (-6) = +18 { (-) x (-) = (+)}
First, The sum of two negative numbers is always negative.
The statement is true.
For example, -3 + (-12)= -3 - 12 = -15
First, The quotient of two negative numbers is always negative.
The statement is false.
For example, -9/(-3)= +3
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Train passes through appleton station every 20 minutes how many trains pass through
Answers
(1 day)(24 hours/1 day)(60 minutes/1 hour) = 1440 minutes
Then, divide the calculated number of minutes by 20.
number of trains = 1440 minutes x (1 train / 20 minutes)
number of trains = 72 trains
Answer: 72 trains
If y is directly proportional to x and if y=50 when x=25, find k, the constant of proportionality.
Answers
to find k, divide y and x:
50/25
2
k = 2
Hope this helped!
The figure is a parallelogram. One diagonal measures 28 units. Is the figure a rectangle? Explain.
A. No, it is not a rectangle because the diagonals are congruent.
B. No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.
C. Yes, it is a rectangle because the diagonals are congruent.
D. Yes, it is a rectangle because the sides of the parallelogram do meet at right angles.
Answers
Answer:
(B)
Step-by-step explanation:
From the given figure, we can see that the opposite sides of the given quadrilateral are congruent but they do not meet at right angles because there is no right angle marked on the given figure, thus the given quadrilateral cannot be rectangle (by the definition).
Therefore, No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.
Also, only one diagonal of measure 28 is given, no other diagonal is given, thus rest of the options do not hold.
Number 1. Write an explicit formula for the nth term. Correct answer will get brainliest
Answers
Write 506.137 in expanded form.
Answers
or
506.137 = 500 + 6 + 1/10 + 3/100 + 7/1000
hope it helps
Which names are correct for PM−→− ?
Select each correct answer.
PY−→−
MP−→−
TM−→−
PT−→−
Answers
Therefore, another name for PM is angle MP.
The answers are PT−→− and PY−→−
What multiplication do you use to multiply 10 to the power of 4?
Answers
[tex]10^4=10*10*10*10[/tex]
A map is drawn using a scale of 1cm and 80mi. Two cities are 280miles apart. How far are the cities on the map.
Answers
A collection of 30 coins worth $5.50 consists of nickels, dimes and quarters. There are twice as many dimes as nickels. How many quarters are there?
Answers
Let D equal the number of dimes.
Let Q equal the number of quarters.
We know that .05N + .10D + .25Q = 5.50.
We also know that N + D + Q = 30.
We also know that D = 2N.
Therefore, Q = 30 - (N + D) = 30 - (N + 2N) = 30 - 3N
So...
5.50 = .05N + .10(2N) + .25(30 - 3N)
= .05N + .20N + 7.50 - .75N
Therefore (moving all N's to the left of the equals sing, and all constants to the right of the equals sign)...
.5N = 2.
Therefore, N = 4. There are four nickels, eight dimes, and 18 quarters.
Checking our work...
Four nickels is 0.20.
Eight dimes is 0.80.
18 quarters is 4.50.
That sums to 5.50, and is 30 coins.
A package of 10 cans of soup costs $14. An individual can costs $2. You need at least 25 cans.You decide to buy 3 packages of 10 cans. How much do you pay for each can?
Answers
Sue scored a total of 35 points in two games. she scored 6 times as many points in the second game is the first. how many more points did she score in the second game?
Answers
Total points is 35 so she scored 1/7 of 35 = 5 points in first game and 30 points in the second.
Answer 30 points
Identify the slope of the line shown in the graph below: Graph of a vertical line with an x intercept of negative 1 slope = -1 slope = 0 slope = undefined slope = 1
Answers
Slope is Undefined because it's just a vertical line and it's not angled...
A particular Egyptian pyramid is 22 feet tall, but the length across the base is unknown. There is a scale model of the pyramid that is 2 feet tall, and it has a base length of 1.3 feet. What is the base length of the actual pyramid?
Answers
11*1.3=14.3
the length across the base is 14.3