Answers
Answer:
1A. y=13
1B. Top and bottom angle are 124 and side angles are 56
2A. y=15
2b. Left angle = 80 Right angle = 100
Step-by-step explanation:
1 equal both equations together then solve for y. plug in y to get the angles
2 add both equations together then equal it to 180 degrees then solve for y. plug in y to get the angles
Step-by-step explanation:
For 1A
2y + 98° = 9y + 7° < being vertically opposite angles >
9y - 2y = 98° - 7°
7y = 91°
y = 13°
For 1B
9y + 7° = 9 * 13° + 7° = 124°
2y + 98° = 2 * 13° + 98° = 124°
The angles which are unknown are also vertically opposite angles so let unknown angles be x then
124° + 124 ° + x +x = 360° { being complete turn }
248° + 2x = 360°
2x = 112°
x = 56°
so all angles are 124° , 124° , 56°, 56°
For 2A
6y - 10 + 6y + 10 = 180° ( being linear pair)
12y = 180°
y= 15°
For 2B
6y - 10 = 6 * 15 - 10 = 80°
6y + 10 = 6 * 15 + 10 = 100°
Hope it will help :)
Related Questions
find the interest rate you are borrowing $2,500 for 2 years and you ear $450 in interest
Answers
Answer:
2500×100/2×450
25/2×450
25/900=
36
Find the value of x. I WILL GIVE 60!!! POINTS ANSWER QUICK!
Answers
Answer:
120 degrees
Step-by-step explanation:
Rsm right?
help pls!!!!!!!!!!!!!!!!
Answers
Answer:
b 3.13
Step-by-step explanation:
did this beofer
Answer:
B = 3.13
Step-by-step explanation:
The graph below shows it's peak/highest which takes about 1.5 seconds. Then it take about 3.13 seconds to hit the ground.
Therefore your answer is B - 3.13
The senior class is making T-shirts as a fundraiser. The material needed to make each T-shirt costs $3.75. The students sell each shirt for $10.To increase sales, the students spend $350 on advertising. How many t-shirts must the students sell to breakeven?
Answers
Answer:
the number of t-shirts sold to breakeven is 56 t-shirts
Step-by-step explanation:
The computation of the number of t-shirts sold to breakeven is shown below:
= Fixed cost ÷ (Selling price - cost price)
= $350 ÷ ($10 - $3.75)
= $350 ÷ 6.25
= 56 t-shirts
Hence, the number of t-shirts sold to breakeven is 56 t-shirts
The volume of a cylinder is 84 pie inches cubed what can be concluded about the volume of the con
Answers
Answer:
that it has a radius of (84/(h×pi))^1/3
Which table represents a linear function?
Answers
step by step explanation
Answer:
no lo se xd sorry
no la se jjgtubxdtjk
A clubs first meeting was attended by 2 people. The second meeting was attended by 4 times as many people as the first meeting. How many people attended the second meeting?
Answers
Answer:
The answer would be 8 people attended in the second meeting.
Step-by-step explanation:
Multiply 2 by 4 to get 8.
Grayson took out a loan for $900. In 18 months, he paid $54 in simple interest. What was the interest rate on Grayson's loan?
Answers
Answer:
.
Step-by-step explanation:
A group of hikers is progressing steadily along an uphill trail. The graph shows their elevation (or height above sea level), in feet, at each distance from the start of the trail, in miles.
What is the slope of the graph? Show your reasoning.
What does the slope tell us about this situation?
Write an equation that represents the relationship between the hikers' distance from the start of the trail, x, and their elevation, y.
Does the equation y-250x=500 represent the same relationship between the distance from the start of trail and the elevation? Explain your reasoning.
Answers
Answer:-2
Step-by-step explanation:y=500+250x
The product of an irrational number and a rational number will be
Answers
Answer:
an irrational number
Step-by-step explanation:
The line with a slope of 1/3 and a y- intercept of -15 intersects the line passing through which of these pairs of points? Select THREE that apply
Answers
Pls help I’ll brain-lest ASAP
Answers
P = 2( L + W )
-divide both sides by 2
P/2 = L + W
-subtract L from both sides
P/2 - L = W
or
(P - L) / 2 = W
I need help asap!!!!
Answers
Step-by-step explanation:
step 1. a circle has an area, A, of 81(pi)
step 2. A = (pi)r^2 = 81(pi)
step 3. therefore r^2 = 81 or r = 9
step 4. if the radius is 9 inches then the diameter is 18 inches.
harriet is 2 years less than a thirnd of her brothers ace. Harriet is 3 years ols. How old is her brother? please help right now
Answers
Answer:
her brother is 15 years old
Step-by-step explanation:
let 'b' = her brother's age
Harriet is 3 years old but Harriet is also '1/3b - 2'
3 = 1/3b - 2
5 = 1/3b
b = 5(3) or 15
simplify 7/341 and give step by step explanation! I will mark you a brainliest.
Answers
Answer:
it can't be simplified
Step-by-step explanation:
marissa rode her bike to the park and back home. halfway to the park, she stopped at the library. she lives 1 3/10 miles from the library. how many miles did marissa ride her bike in all?
Answers
Answer:
5 2/10 miles or 5 1/5 miles, if you need to reduce fractions
Step-by-step explanation:
The way they wrote this is kind of confusing. Home to library = 1 3/10 miles. That's halfway to the park, so the distance to the park is 1 3/10 + 1 3/10 = 2 6/10 miles.
Then she had to ride that same distance home, so add
2 6/10 + 2 6/10 = 4 12/10 = 5 2/10
If your teacher has you reduce fractions, then it's 5 1/5 miles.
The number of miles did marissa ride her bike in all should be 5 2/10 miles or 5 1/5 miles.
Calculation of the number of miles:Since
She lives 1 3/10 miles from the library.
So here the distance to the park should be
= 1 3/10 + 1 3/10
= 2 6/10 miles.
Now we basically add it
= 2 6/10 + 2 6/10
= 4 12/10
= 5 2/10
hence, The number of miles did marissa ride her bike in all should be 5 2/10 miles or 5 1/5 miles.
Learn more about miles here: https://brainly.com/question/20930272
What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long?
OA 9 units, 12 units
OB. 11 units, 10.2 units
OC 4.9 units, 15.8 units
OD 4.9 units, 14.2 units
OE 5.2 units, 14.1 units
Answers
Answer:
D) 4.9 units, 14.2 units
Step-by-step explanation:
I assume that we will be using trigonmetry as this is a right triangle
The two ratios that will be used are CAH (Cosine = adjacent/hypotneuse)
and SOH (Sine = opposite/hypotneuse)
While it does not matter which acute angle the problem is to, I decided to set up the triangle like so in the picture attached
This means x = adjacent and y = opposite here
Now we just need to plug in the numbers to find the missing variables
x) cos(19) = x/15
(15)cos(19) = x/15(15)
~14.2 = x
y) sin(19) = y/15
(15)sin(19) = y/15(15)
~4.9 = y
Hope that helps a bit
I took waaay too long to explain this lol
The value of x for the triangle is 14.2 and the value of y is 4.9. The correct option is D.
What is trigonometry?Trigonometry is the branch of mathematics that establishes a relationship between the sides and angles of a right-angle triangle.
The mathematical trigonometric functions, sometimes referred to as circle, angle, or goniometric functions, relate the angle of a right-angled triangle to the ratios of its two side lengths.
Calculate the value of x as below,
xcos(19) = x/15
(15)cos(19) = x/15(15)
14.2 = x
The value of y is calculated as,
ysin(19) = y/15
(15)sin(19) = y/15(15)
4.9 = y
To know more about trigonometry follow
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Help needed with this
Answers
Answer:
el 3
Step-by-step explanation:
Step-by-step explanation:
step 1. a function must only have a single y value for each x value.
step 2. for the input x, there can only be one output or result y.
step 3. #1 is a function because for each x there is only one y.
step 4. #2 and #3 are functions also.
step 5. #4 is not a function because (1, 1) and (1, -1) says x is 1 but the y is both 1 and -1 (2 values)
step 6. (2, 2) and (2, -2) also makes #4 not a function.
twice the square root of a number is 12
Answers
Let us assume that the number is X
According to the statement:
2✓x = 12
Divide both sides by 2;
✓2 = 6
Square both sides,
x² = 6²
X = 36
Hence the required number is 36.
Ms. Jones is making the yearbook. She has 7 pages with 153 photos on each
page. How many photos are there in the whole yearbook?
Answers
Answer:
1,071
Step-by-step explanation:
7 × 153 = 1071
plese follow me
1. (a) Find the remainder when 5x2 – 3x + 6 is divided by 2x-1
Answers
Answer:
The answer is 5/2X - 1/4. The remainder is 23/4.
the nth term of a sequence is given by an²+bn where a and b are integers the 2nd term of the sequence is 2 4th term of the sequence is 20. find the 6th term of the sequence
Answers
Answer:
54
Step-by-step explanation:
Tn = an²+bn
T2 = a2²+2b
2 = 4a +2b
Multiply all through by 2
4 = 8a +4b
4b = 4-8a
T4 = a4² + 4b
20 = 16a +4b
4b = 20-16a
4-8a = 20-16a
16a -8a = 20-4
8a = 16
a = 16/8 = 2
4b = 4-8a = 4-8(2) = 4-16 = -12
b = -12/4 = -3
T6 = a6² + 6b
T6 = 2(36) + 6(-3) = 72 -18 = 54
Answer:
54
Step-by-step explanation:
Marc sold 425 tickets for the school play. Student tickets cost $4 and adult tickets cost $5. Marc's sales totaled $1925. How many adult tickets and how many student tickets did Marc sell?
Answers
Explanation: We need a system of equations to find how many of each ticket Marc sold and we can use 4s+5a=1925 and s+a=425.
If we isolate a, we will have a=425-s
If we plug this into the first equation, we will get 4s+2125-5s=1925
Solving for s gives us s=200.
To find a, we can do 425-200 to find that a=225.
You want to take out a loan to buy a new car for which you need to finance $20,089. Your bank will give you a loan at 10% compounded monthly. You look at your budget and decide that you can afford a payment of $269 a month. How many years, to the nearest tenth of a year, must the loan be taken out to meet these conditions?
A) 20.5 years
B) 13.7 years
C) 9.8 years
D) 5.9 years
Answers
HELPPPPPP MEEEE PLEASE AND THANK YOU ILL MARK YOU BRAINLIEST
Answers
Can you please help me
Step-by-step explanation please
Answers
Answer:
x=9
Step-by-step explanation:
It’s a ratio.
2/6=5/(6+x)
cross-multiply
12+2x=30
2x=30-12
2x=18
x=9
Or even more simply:
2/6=3/x
2x=18
x=9
Which algebic expression is “ten less than a number divided by twelve”?
StartFraction n Over 12 EndFraction minus 10
StartFraction 12 over n EndFraction minus 10
10 minus StartFraction n Over 12 EndFraction
10 minus StartFraction 12 Over n EndFraction
Answers
Answer:
It is n/12-10
Step-by-step explanation:
Which is A
The algebraic expression that represents "ten less than a number divided by twelve" is Start Fraction n - 10 Over 12 End Fraction.
To properly calculate the algebraic expression for "ten less than a number divided by twelve," we can break it down step by step.
The expression "ten less than a number" can be written as "n - 10," where n represents the unknown number.
Next, we divide the expression "n - 10" by twelve:
Start Fraction n - 10 Over 12 End Fraction
Therefore, the correct algebraic expression for "ten less than a number divided by twelve" is Start Fraction n - 10 Over 12 End Fraction.
Among the given choices, the correct expression is Start Fraction n - 10 Over 12 End Fraction.
To know more about algebraic:
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Which is greater? 12.045 or 12.54
Answers
Answer:
12.54
Step-by-step explanation:
Jenny deposits $50,000 into an account that pays simple interest at a rate of 2% per year.
Frank deposits $50,000 into an account that also pays 2% interest per year. But it is compounded annually.
Find the interest Jenny and Frank earn during each of the first three years.
Then decide who earns more interest for each year.
Assume there are no withdrawals and no additional deposits.
Answers
Answer:
Jenny will earn $ 1,000 in interest each year, while Frank will earn $ 1,000 the first year, $ 1,020 the second, and $ 1,040.40 the third.
Step-by-step explanation:
Since Jenny deposited $ 50,000 into an account that pays simple interest at a rate of 2% per year and Frank deposited $ 50,000 into an account that also pays 2% interest per year but it was compounded annually, to find the interest Jenny and Frank earn during each of the first three years and decide who earns more interest for each year assuming there are no withdrawals and no additional deposits, the following calculation must be performed:
Jenny:
Year 1 = 50,000 x 1.02 = 51,000
Year 2 = 50,000 x 1.02 = 51,000 + 1,000 = 52,000
Year 3 = 50,000 x 1.02 = 51,000 + 2,000 = 53,000
Frank:
Year 1 = 50,000 x 1.02 = 51,000
Year 2 = 51,000 x 1.02 = 52,020
Year 3 = 52,000 x 1.02 = 53,060.40
Round 30.425 to the nearest tenth.
Answers
Answer:
30.4
Step-by-step explanation:
30.425 rounded to the nearest tenth will be 30.4
When rounding to the nearest tenth, we have to see if the hundredths place and thousands place are 0.050 or greater.
If they are, then the tenths place will round up.
In this case, it is only 0.025, so we will keep the tenths place of 30.4
So, the answer is 30.4