The measure of two vertical angles is same. So , the measure of angle A and angle B will be each equal to 20°.
What are the vertical angles ?
Vertical angles are the angles which are opposite to each other. A pair of vertically opposite angles are always equal to each other.
It is given that there are two vertical angles , which are ∠A and ∠B, The measure of the angles is given which is : m ∠A = x° and m ∠B = (5x - 80)°.
We know that the property of vertical angles states that two angles if they are vertical and opposite to each other then they have equal measures.
So , solving for the value of x :
x° = (5x - 80)°
Reordering the like terms :
5x - x = 80°
4x = 80°
or
x = 20°
or
The measure of angle A i.e., m ∠A is 20°.
And the measure of angle B will be :
= (5 × 20°) - 80°
= 20°
Therefore , the measure of two vertical angles is same. So , the measure of angle A and angle B will be each equal to 20°.
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11+22+33+...+1010 is divided by 5. what is the remainder? (a) 0 (b) 1 (c) 2 (d) 3 (e) 4
Match each step to its justification to solve 2x+5=19
The steps :
given subtraction property of equality subtract division property of equality divide Further ExplanationOne variable linear equation is an equation that has a variable and the exponent number is one. Can be stated in the form:
[tex]\large{\boxed{\bold{ax=b}}}[/tex]
or
ax + b = c, where a, b, and c are constants, x is a variable
Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one
Can be stated in the form:
[tex]\large{\boxed{\bold{ax+by=c}}}[/tex]
ax + by = c
x, y = variable
There are 2 general steps to solving a linear equation of one variable:
1. add or subtract both segments with the same number so that it is expected that in one segment there are only variable modifiers or constant numbers 2. Change the equation into a simple form so that the coefficient of the variable is 1This can be done by dividing or multiplying by equal numbers
An equation will remain equivalent if both segments are multiplied or divided by the same number
In the equation
2x + 5 = 19
The right steps to complete it according to the images included are:
1. 2x + 5 = 9 ⇒ given 2. both segments are subtracted by the number 52x + 5 -5 = 9-5 ⇒subtraction property of equality
3. 2x = 14 ⇒subtract 4. both segments are divided by 2 so that the coefficient x = 1[tex]{\displaystyle {\frac {2x} {2}}=~\frac{14}{2}[/tex]
⇒division property of equality
5. x = 7 ⇒ divideLearn more
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Keywords: variable, linear equation
Please help with this problem.
Simplify by collecting like terms: 2x-4-6x+8
The solution of the mathmatical exression by combining like terms,
⇒ - 4x + 4
Given that,
An expression to simplify,
⇒ 2x - 4 - 6x + 8
Now, simplify the mathmatical exression by combining like terms,
⇒ 2x - 4 - 6x + 8
Combine like terms,
⇒ 2x - 6x - 4 + 8
⇒ - 4x + 4
Therefore, the solution of expression is,
⇒ - 4x + 4
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Mick has a bag with 2 mint sticks, 11 jelly treats, and 7 fruit tart chews. If he eats one piece every 10 minutes, what is the probability his first two pieces will be a jelly treat and a mint stick?
Give your answer in a percent.
To find the probability, calculate the probabilities of selecting a jelly treat and a mint stick. Then multiply these probabilities together to find the overall probability.
Explanation:To find the probability that Mick's first two pieces will be a jelly treat and a mint stick, we need to calculate the probability of selecting a jelly treat and a mint stick from the bag.
First, we need to find the total number of pieces in the bag: 2 mint sticks + 11 jelly treats + 7 fruit tart chews = 20 pieces.
The probability of selecting a jelly treat as the first piece is: 11 jelly treats / 20 total pieces = 0.55 or 55%.
After Mick has eaten one piece, there are now 19 pieces left in the bag.
The probability of selecting a mint stick as the second piece is: 2 mint sticks / 19 remaining pieces = 0.105 or 10.5%.
Therefore, the probability that Mick's first two pieces will be a jelly treat and a mint stick is 55% * 10.5% = 0.055 or 5.5%.
What is the greatest common factor for 200 and 205
If, while training for a marathon, you ran 76 miles in 2 2/3 months, how many miles did you run each month? (Assume you ran the same amount each month)
Use the data from the following chart to answer the question below.
it was 1.0 that was water this is what i have g/cm3
According to the chart, one milliliter of water would have a density of _____.
100 g/cm 3
10 g/cm 3
1 g/cm 3
cannot be determined
Answer:
1 g/cm 3
Step-by-step explanation:
18 tens 20 ones = Hundreds
How do I solve this ?
The set of whole numbers is closed under division
True or false
Answer:
true
Step-by-step explanation:
There are between 50 and 60 eggs in a basket. When Mohammed counts by 3's, there are 2 eggs left over. When he counts by 5's there are 4 left over. How many eggs are there in the basket?
The correct answer is:
59
Explanation:
The numbers between 50 and 60 that are divisible by 3 are
51, 54, 57, 60
The numbers between 50 and 60 that are divisible by 5 are
50, 55, 60
We know that when he counts by 3s, he has 2 left over; this means the number he counts to is 2 fewer than the number of eggs. This means, counting by 3s, we could have
51+2, 54+2, 57+2, or 60+2 = 53, 56, 59, 62
62 is not an option, since we know we have between 50 and 60 eggs; this gives us 53, 56 or 59.
We also know that when he counts by 5s, he has 4 left over; this means the number he counts to is 4 fewer than the number of eggs. This means, counting by 5s, we could have
50+4, 55+4, 60+4, or 54, 59, 64
64 is not an option, since we know we have between 50 and 60 eggs; this gives us 54 or 59.
The only number in both lists is 59, so this must be the answer.
t−12/2=3/t2−3
solve for T
–3
–1
1
3
What is the equation of the line that is parallel to the given line and passes through the point (−4,−6 )?
A. x = −6
B. x = −4
C. y = −6
D. y = −4
we know that
The given line is parallel to the x-axis
so
the equation of the line that is parallel to the given line and passes through the point [tex](-4,-6 )[/tex] will be equal to the y-coordinate of the point
The y-coordinate of the point is [tex]-6[/tex]
therefore
the equation is
[tex]y=-6[/tex]
the answer is the option C
[tex]y=-6[/tex]
Sarah has a job at a salon and she earns $50 per day plus tips. Her average tip is 15% of the total amount her customers spend on services. Sarah's daily income is represented by the variable y and the amount her customers spend is represented by the variable x. Which equation represents Sarah's daily income?
What is the value of y?
Enter your answer in the box.
One student can paint a wall in 12 minutes. Another student can paint the same wall in 24 minutes. Working together, how long will it take for them to paint the wall?
Answer: 8
Step-by-step explanation:
Given quadrilateral jklm with diagonals that bisect the vertices, what kind of quadrilateral is jklm? rhombus parallelogram trapezoid generic quadrilateral (no more specific classification can be determined)
You are making balloon arrangements for a birthday party. there are 16 white balloons and 24 red balloons. each arrangement must be identical. what is the greatest number of arrangements you can make using every balloon?
This is basically a GCF problem. To find the
GCF, we list the factors of each number.
24 = 1×24, 2×12,
4×6, 8×3 ...
16 = 1×16, 2×8,
4×4, ...
The greatest common factor is 8 because it is the greatest
factor we can find.
So 8 arrangements
Math Quiz Question! Measuring segments and Angles
In the diagram, m < ACB = 65
m < BCD =
Solve each inequality and give the solution in interval notation:
A company sold 160 units in the last quarter of the year. Which of the following graphs represents the company's sales performance?
The question does not provide specific graphs to choose from for the company's sales performance. Nonetheless, a correct graph would show a point at 160 units for the last quarter of the year.
Explanation:Unfortunately, the question as presented does not include any graphs to choose from. Ideally, the correct graph would have the last quarter of the year on the x-axis and the number of units sold on the y-axis. It would display a single point at 160 units for the last quarter. However, without specific graphs to choose from, a more detailed answer cannot be provided.
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The graph which represents the company's sales performance is graph B.
Which of the following graphs represents the company's sales performance?
The last quarter of the year begins October 1st and ends December 31st.
Total units sold by the company in the last quarter of the year = 160 units
Graph 1:
October = 40 units
November = 60 units
December = 40 units
Total = 140 units
Graph 2:
October = 40 units
November = 65 units
December = 55 units
Total = 160 units
Graph 3:
October = 40 units
November = 50 units
December = 50 units
Total = 140 units
Graph 4:
October = 40 units
November = 60 units
December = 50 units
Total = 150 units
Therefore, last quarter of the year in graph B represents the company's sales.
Is the following definition of perpendicular reversible? If yes, write it as a true biconditional. Two lines that intersect at right angles are perpendicular.
A. The statement is not reversible.
B. Yes; if two lines intersect at right angles, then they are perpendicular.
C. Yes; if two lines are perpendicular, then they intersect at right angles.
D. Yes; two lines intersect at right angles if (and only if) they are perpendicular.
P and q are on a number line. If p has a coordinate -5 and pq =7 , what could the coordinate of p be
3 -2 is equivalent to _____.
A -6
B -9
C 1/9
D 1/6
Thanks!
50 POINTS! PLEASE HELP!
Which of the binomials below is a factor of this trinomial? x2 - 3x - 4
A. x2 + 4
B. x + 4
C. x - 4
D. x + 8
Answer:
c) x - 4
Step-by-step explanation:
To do a factorization of this kind of trinomial there is a technique very easy to do it.
First, you need to see the numbers that are along with the x and the independent number.
In this case -3 and -4 (I will call them b and c)
Next, you need to think in two numbers that can acomplish the following:
x * y = c
x + y = b
So, first, think, which are two numbers that you can multiply between them to give as a result -4?.
In this case it would be -4 and 1 (-4*1 = -4)
These numbers if you do a sum you'll get -3:
-4 + 1 = -3
So the factorization becomes this:
(x - 4) (x - 1)
So, one of the factors is x - 4. Option c
In the expression 4^9 the number 9 is called the
24 loaves of bread cost $48. How much do 10 loaves cost
An equation with an exponent is called an exponential equation. true or false?
True or false: it is possible to determine a vector if only one of its components is known.