Solve for the value of a.
(8a)•\(5a-2)
Answer: a =
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attempt 1 out o
Answers
Answer:
a = 14
Step-by-step explanation:
The angles share a common side terminal side, so they are supplementary angles. This also means they add up to 180º.
8a + (5a - 2) = 180
Combine like terms.
13a - 2 = 180
13a = 182
Divide both sides by 13.
a = 14
This is your answer.
Check your work by plugging "a" back into the original equation.
8a + (5a - 2) = 180
8(14) + [5(14) - 2] = 180
112 + (70 - 2) = 180
112 + 68 = 180
180 = 180
Your answer is correct.
Hope this helps!
Related Questions
I need questions 1 , 2 ,3 answered please :)
Answers
9514 1404 393
Answer:
54°both are 73°x = 12Step-by-step explanation:
Some useful relations are ...
A triangle inscribed in a semicircle is a right triangle.
Acute angles in a right triangle are complementary.
An inscribed angle is half the measure of the arc it intercepts.
The sum of arcs around a circle is 360°; 180° around a semicircle.
__
1. Arc DF is twice the marked inscribed angle, so is 126°. Arc FE is supplementary to that, so is ...
arc FE = 180° -126°
arc FE = 54°
Alternate solution: arc FE is twice angle D, which is the complement of 63°.
2(90° -63°) = 2(27°) = 54° = arc FE
__
2. Arc GJ = 360°-68° -31° -115° = 146°
angle GHJ = angle GIJ = 146°/2 = 73°
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3. arc UT = 2(90° -43°) = 94°
9x -14 = 94
9x = 108 . . . . . add 14
x = 12 . . . . . . . . divide by 9
5. In one year, there were 125 major new automobile types available. If you look at the miles per gallon (MPG) for these vehicles, the distributions are roughly normal. The means and standard deviations are given by:
Mean Standard Deviation
City MPG 22.37 4.77
Highway MPG 29.09 5.46
a. The Honda Civic had a rating of 45 highway MPG. What is the probability that your car has a worse highway gas mileage than the Civic?
b. The Lincoln Continental had a rating of 17 city MPG. What percent of cars are likely to have a better city gas mileage than the Continental?
Answers
Answer:
a. 0.0018 = 0.18% probability that your car has a worse highway gas mileage than the Civic
b. 89.06% of cars are likely to have a better city gas mileage than the Continental
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
a. The Honda Civic had a rating of 45 highway MPG. What is the probability that your car has a worse highway gas mileage than the Civic?
For Highway, we have that [tex]\mu = 29.09, \sigma = 5.46[/tex]
This probability is the pvalue of Z when X = 45. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{45 - 29.09}{5.46}[/tex]
[tex]Z = 2.91[/tex]
[tex]Z = 2.91[/tex] has a pvalue of 0.9982
1 - 0.9982 = 0.0018
0.0018 = 0.18% probability that your car has a worse highway gas mileage than the Civic.
b. The Lincoln Continental had a rating of 17 city MPG. What percent of cars are likely to have a better city gas mileage than the Continental?
City means that [tex]\mu = 22.37, \sigma = 4.37[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 17. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{17 - 22.37}{4.37}[/tex]
[tex]Z = -1.23[/tex]
[tex]Z = -1.23[/tex] has a pvalue of 0.1094
1 - 0.1094 = 0.8906
0.8906 = 89.06% of cars are likely to have a better city gas mileage than the Continental
4. The sum of two integers is -1. The product of the
integers is 72. Find the integers.
Answers
9514 1404 393
Answer:
none such
-9 and +8 have a sum of -1 and a product of -72
Step-by-step explanation:
There are no two integers with the same sign that have a product of +72 and a sum of -1.
The two integers -9 and +8 have a product of -72 and a sum of -1.
The area of a rectangle is 36x^2 — 100y^2. Determine the length and the width of the rectangle.
Answers
Answer:
the length is represented by (6x + 10y) and the width by (6x - 10y)
Step-by-step explanation:
36x^2 - 100y^2 is the difference of two squares, so we need only factor this expression to obtain the length and width.
Recall that a similar difference, a^2 - b^2, comes out to (a - b)(a + b).
Thus, (36x)^2 = (100y)^2 = (6x - 10y)(6x + 10y).
Let's assume that the greater measurement, the length, is represented by (6x + 10y) and the width by (6x - 10y)
6)
(y = -2x + 9
(5x - 2y = 18
yo i need help
Answers
Answer:
use the app photomath
Step-by-step explanation:
Find the area. The figures are not drawn to scale.
12.
(1 point)
4 cm
6.9 cm
O 13.8 cm2
O 10.9 cm2
O 27.6 cm2
O 55.2 cm?
Answers
Answer and step-by-step explanation:
If it is a rectangle, the formula is:
L * W
Fill in the values:
4*6.9
Then solve.
27.6
So, if it is a rectangle, the answer is (C), 27.6 Inches squared.
If it is a triangle, the the formula is:
(B*H)/2
Fill in the values:
4*6.9/2
Simplify:
27.6/2
Then solve.
13.8
So, if it is a triangle, the answer is (A), 13.8 Inches squared
Hope this helps!
How do you balance these Chemical equations?
1.C+ ZnO= Zn+CO2
2.Pb+HCl=PbCl2+H2
Please show your work.
Answers
Answer:Zno C Zn co2
Step-by-step explanation:
C is a reducing agent, ZnO is an oxidizing agent. ; White, odorless solid.
Of the 31 teachers at Keenan's high school, 14 are female. What is the ratio of the number of female teachers to the number of male teachers?
Answers
Answer:
The answer is 14:17
Step-by-step explanation:
31-14 is 17 and 14 are female and 17 are male so we do 14:17
Use the factor tree to find the prime factorization of 100.
What is the prime factorization of 100?
2 x 5
2 x 2 x 5 x 5
2 x 5 x 10
10 x 10
Answers
Answer:
2×2×5×5
Step-by-step explanation:
1st of all they are prime factors
if multiplied give us 100
Answer:
2 × 2 × 5 × 5 is the correct one
Step-by-step explanation:
Got it right on edge
Anychance anyone can answer this?
Answers
Answer:
-3: C
-2: F
-1: A
6: D
Step-by-step explanation:
-3+2 = -1
-1 = (-1)^3
-3: C
-2+1 = 0
0 = 0^3
-2: F
-1+2 = 1
1 = 1^3
-1: A
6 + 2 = 8
8 = 2 x 2 x 2 = 2^3
6: D
Which one is right can y help me
Answers
Answer:
What are you trying to find out? Like what do you mean by which one is right?
Step-by-step explanation:
The product of two consecutive odd integers is 63. If x is the smallest of the integers, write an equation in terms of x that describes the situation, and then find all such pairs of integers.
The equation that describes the situation is __________________
The positive set of integers is _________________
The negative set of integers is _________________
Answers
9514 1404 393
Answer:
x(x+2) = 637, 9-9, -7Step-by-step explanation:
If x is an odd integer, the next greater odd integer is x+2. The product is said to be 63, so the equation is ...
x(x +2) = 63
__
The equation can be rewritten as ...
(x +1)² = 64
x = -1 ±√64 = -1 ±8
The positive solution is x=7, so the positive set of integers is {7, 9}.
The negative solution is x=-9, so the negative set of integers is {-9, -7}.
Which statement is true?
Answers
Answer:
[tex] (\sqrt[m]{ {x}^{a} } ) ^{b } = \sqrt[m]{ {x}^{ab} } [/tex]
PLEASE HELP I NEED HELP NO SCAM LINKS
Answers
Answer:
D
Step-by-step explanation:
Answer:
A - the X intercept will be negative
If you need further guidance, I'm here to help!
~ PumpkinSpice1
What is it i’m really really really confused about it lollll
Answers
Answer:
it would be D
So, when they say quantities that combine to make 0, that means you have to lose, and then gain the same amount back.
If you look at all the other choices, they either keep on gaining or they don't gain the same amount they lost
Think about it as breaking even. You aren't actually gaining anything if you are gaining back the exact same amount you lost.
Please solve and show your work. Thank you! I will mark brainiest :)
Answers
Answer:
x=22.5
Step-by-step explanation:
Make a ratio
The names of the triangle help with this.
AB is similar to FG, and AC is similar to FH (the missing side)
6/15 = 9/x
cross multiply
6x=135
divide both sides by 6
x=22.5
Answer:
X=22.5
Step-by-step explanation:
6/9=15/x
135=6x
22.5=X
volume of a cylindrical can of juice is 500cm3 and the diameter of its base is 8 cm find the height of the can of pineapple juice
Answers
Answer:
Height = 2545.45cm
Step-by-step explanation:
Volume of cylinder = pie r^2 h
500 = 22/7*4*4*h
500*7/22*16 = h
2545.45cm = h
What is the value of this expression?
Answers
9514 1404 393
Answer:
2
Step-by-step explanation:
I find it convenient to remember that a logarithm is an exponent.
[tex]\log_a(a^b)=b[/tex]
__
log₂(8) +log₃(1/3) = log₂(2³) +log₃(3⁻¹)
= 3 -1 = 2
The value of the expression is 2.
__
Some calculators can compute this for you directly.
find the volume of the cone Diameter:10 m and Height:10m, round to the nearest whole number
Answers
Answer:
und wey kennen diese Antwort oder Art und Weise nicht, wie Sie sie wahr übersetzt haben
1. Select all the relationships that demonstrate a positive association between variables.
(Sketch a graph if needed in order to identify a positive relationship)
A. Outside temperature and cost to heat a home
B. Number of people in a grocery check-out line and how long you have to wait to check out
C. Length of time you have walked and distance you have traveled
D. Pounds of cherries you buy and amount of money you spend on cherries
E. Speed of a train and the amount of time it takes for the train to get to its destination
Answers
need help solving these 4 problems
Answers
Answer:
A)5
D) Z
I dunno
D) X
number 68 I dunno sorry
Answer:
66) A) 5
67) D) Z
68) D) T
69) D) X
Which is equivalent to the series shown?
12
Which expansion is equivalent to the summation
shown?
12
12
20 Σ
1
n=9 n=9
n +
n=9
X
1 1 1 1
20+9+10+11+12+
9 10 11 12
-
Σ (20n +
+
Ź 201n+ )
20
n
n-9
x
1
1
-
1
11
1
12
20(9 + 10 +11+12) +.
9 10
2019 +10 +1
X
1 1 1
20 9+10 +11+12+
9 10 11 12
n +
n-9
12 12
1
12 + 20
n
n=9 n-9
12 12
1
n+
n-9 n=9n
1 1 1
9+10+11+12+ 20
9 10 11 12
20Σ
COMPLETE
Na
Intro
Final
Answers
Answer:
first one is (d) second one is (b)
Step-by-step explanation:
Which of the decimals or fractions is not equal to 0.825 or ?
loo
.
O
0.625
10
16
O 0.85
33
40
Answers
I'm confused can u tell me the question in comments
If a certain roundabout has diameter of 96 feet,
about how far would a car travel if it drove once
around?
A. 150.8 feet
B. 301.6 feet
C. 348.5 feet
D. 7,238.2 feet
Answers
9514 1404 393
Answer:
B. 301.6 ft
Step-by-step explanation:
The circumference of the circle is given by the formula ...
C = πd
For a diameter of 96 ft, the circumference of the circle is ...
C = π(96 ft) ≈ 301.593 ft
The car would travel about 301.6 feet.
what is 4 1/8 - 2 2/3 to the nearest whole number
Answers
Answer:
1 11/24
Step-by-step explanation:
:))
For the data set shown in the scatterplot, what is the BEST approximation of the y-intercept for the line of best fit? A) 0 B) 50 C) 125 D)200
Answers
Answer:
C) 125Step-by-step explanation:
If you add a line of best fit, its extension is likely to intersect the y-axis between 200 and 100 but closer to 100.
The best estimate is choice C) 125
I will give brainlyist and extra points for correct answer ( no links )
Answers
Answer:
7. 56
8. 117
Step-by-step explanation:
7.
Add the lengths of the sides. Each square on the grid has side 2 units.
9 + 4 + 4 + 8 + 11 + 3 + 2 + 15 = 56
8.
Find the lengths of the bases and the height of the trapezoid. Each square on the grid is 2 units.
Area of trapezoid = (1/2)(b1 + b2)h
area = (1/2)(15 + 11)(9) = 117
Alan has forgotten his 4-digit PIN code. He knows the first digit is odd, and the last digit is a 5. How many different sets of 4 digits could it be?
Answers
Answer:
72
Calculate one by one:
9P2
Solving a word problem on proportions using a unit rate
Alonzo drove 335 miles in 5 hours.
At the same rate, how long would it take him to drive 469 miles?
Answers
Answer:
7 hours
Explanation:
Divide 5 and 335 then multiply by 469
because 5 / 339 will be time for one mile and then multiply by 469 will be number of hours for 469 miles
5 / 339 × 469 =7 hours
A circle's area is directly proportional to its radius squared.
What is the constant of proportionality (to 2 decimal places)?
(Area of a circle = rr2)
Answers
9514 1404 393
Answer:
3.14
Step-by-step explanation:
The formula for the area of a circle is ...
A = πr²
The constant of proportionality is the constant in this equation: π. To two decimal places, the value of π is 3.14.
The constant of proportionality is about 3.14.