18)Angel A and angle b are vertical angles so they are congruent angles. If angle A is (4x+5)° and angle B (-2(x-17.5))° Find the measure of angle B
Answers
Answer:
Measure of Angle B = 25°
Step-by-step explanation:
Something to keep in mind: Angle A and B are Vertical Angles so they will always be equal
so;
Angle A = Angle B
(4x + 5) = (-2(x - 17.5))
4x + 5 = -2x + 35 (<= Solved by distributive property)
6x + 5 = 35
6x = 30
x = 5
Now we can find the measure of Angle B, by substituting x by 5 in the B equation;
-2 (x - 17.5) = Angle B
-2 (5 - 17.5) = Angle
-2 (-12.5) = Angel B
25 = Angle B
so measure of angle B = 25
Hope this helps!
Related Questions
2x.67 find the product draw a picture
Answers
Answer:
1.34
Step-by-step explanation:
2x67/100
= 134/100
= 1.34
Please help me ASAP
Answers
Answer:
A: 9.5s+19.95 is less than or equal to 55
Step-by-step explanation:
She has no more than 55 dollars to spend so it cant be greater than but it can be equal to 55 so the answer is the first option
 Missed 10 days of Algebra 2. I think they did some Long Division stuff but i need help figuring out how to do this stuff...
I attached an image below of some example problems
Answers
"Find all real solutions of" basically means solve for x. You're looking for the real numbers x such that the given equation is satisfied. "Zeros" is synonymous with "solutions".
It looks like the first equation is
3x³ + x² - 38x + 24 = 0
It's not immediately obvious whether this can be factorized, so we first carry out the rational zero test to see if there are any rational solutions. *If* this equation has any rational solutions, then they must take the form of (divisor of 24)/(divisor of 3). That is, take any divisor of the constant coefficient and divide it by any divisor of the leading term's coefficient.
We have
• divisors of 24 : ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24
• divisors of 3 : ±1, ±3
Sadly, there are 64 possible roots to test, but we only need one to make the rest of the problem easier.
• Let x = +1 / +1 = 1. Then plugging x = 1 into the equation gives
3•1³ + 1² - 38•1 + 24 = -10 ≠ 0
so x = 1 is *not* a solution
• Let x = +2 / +1 = 2. If x = 2, then
3•2³ + 2² - 38•2 + 24 = -24 ≠ 0
so x = 2 is *not* a solution.
• Let x = +3 / +1 = 3. If x = 3, then
3•3³ + 3² - 38•3 + 24 = 0
so x = 3 is a solution.
By the remainder theorem, this means that x - 3 divides 3x³ + x² - 38x + 24. Using long or synthetic division,
(3x³ + x² - 38x + 24) / (x - 3) = 3x² + 10x - 8
so that
3x³ + x² - 38x + 24 = 0
is the same as
(x - 3) (3x² + 10x - 8) = 0
We factorize the remaining quadratic to get
3x² + 10x - 8 = (3x - 2) (x + 4)
and so the original equation is equivalent to
(x - 3) (3x - 2) (x + 4) = 0
Solve for x :
x - 3 = 0 or 3x - 2 = 0 or x + 4 = 0
x = 3 or x = 2/3 or x = -4
The other equations can be solved similarly, though some of the others you included are much simpler.
For the second problem (note that you left out an exponent), we solve the equation
x³ - 2x² - 23x + 60 = 0
Again, not immediately obvious how to factorize this. But using the rational root test, we have
• divisors of 60 : ±1, ±2, ±3, ±4, ±5, ±6, ±10, ±12, ±15, ±20, ±30, ±60
• divisors of 1 : ±1
If you follow the same steps as before, you'll find the first rational solution with x = 3. So x - 3 divides x³ - 2x² - 23x + 60, and long division gives
(x³ - 2x² - 23x + 60) / (x - 3) = x² + x - 20
and the resulting quadratic is easily factored,
x² + x - 20 = (x - 4) (x + 5)
So, we have
x³ - 2x² - 23x + 60 = (x - 3) (x - 4) (x + 5) = 0
which means
x - 3 = 0 or x - 4 = 0 or x + 5 = 0
x = 3 or x = 4 or x = -5
For the third problem, we can factor by grouping.
x³ - 4x² - x + 4 = 0
x² (x - 4) - (x - 4) = 0
(x² - 1) (x - 4) = 0
(x - 1) (x + 1) (x - 4) = 0
Then
x - 1 = 0 or x + 1 = 0 or x - 4 = 0
x = 1 or x = -1 or x = 4
For the fourth problem, we use the rational root test again, but twice this time.
x⁴ - 6x³ + 7x² + 6x - 8 = 0
• divisors of -8 : ±1, ±2, ±4, ±8
• divisors of 1 : ±1
We find that x = 1 and x = 2 are both rational roots, so both x - 1 and x - 2 divide x⁴ - 6x³ + 7x² + 6x - 8. By long division,
(x⁴ - 6x³ + 7x² + 6x - 8) / ((x - 1) (x - 2)) = x² - 3x - 4
and factoring this gives
x² - 3x - 4 = (x + 1) (x - 4)
So, we have
x⁴ - 6x³ + 7x² + 6x - 8 = (x - 1) (x - 2) (x + 1) (x - 4) = 0
which means
x - 1 = 0 or x - 2 = 0 or x + 1 = 0 or x - 4 = 0
x = 1 or x = 2 or x = -1 or x = 4
For the last problem,
x⁴ + 4x³ + 7x² + 16x + 12 = 0
we use the rational root test again.
• divisors of 12 : ±1, ±2, ±3, ±4, ±6, ±12
• divisors of 1 : ±1
We find that both x = -1 and x = -3 are rational solutions, and dividing gives
(x⁴ + 4x³ + 7x² + 16x + 12) / ((x + 1) (x + 3)) = x² + 4
which we cannot factorize further over the real numbers. So we end up with
x⁴ + 4x³ + 7x² + 16x + 12 = (x + 1) (x + 3) (x² + 4) = 0
so that
x + 1 = 0 or x + 3 = 0 or x² + 4 = 0
x = -1 or x = -3
(We omit the third equation here because it has no real solution since x² + 4 ≥ 4 for all real x.)
HELP FAST, I'LL GIVE BRAINLIEST, 50 POINTS!!!
-2.25+0.4x=-2.8
Solve and show your steps in both fraction form, and decimal form
Answers
Answer:
Decimal = -1.375, Fraction = -11/8
Step-by-step explanation:
Decimal:
-2.25 + 0.4x = -2.8
0.4x = -0.55
x = -1.375
Fraction:
-9/4 + 2/5x = -14/5
-45/20 + 8/20x = -56/20
8/20x = -11/20
x = -11/8
Hopefully this helps!
Brainliest please?
Six less than the product of 8 and a number equals 2
Answers
Answer:
unknown number = 1
Step-by-step explanation:
Let the unknown number be x.
(8×x)-6=2
8x-6=2
8x=2+6
=8
x=8÷8
=1
Hence, unknown number = 1.
Which line has a constant of proportionality between y and x of 4/3
Answers
Answer:
Line A: constant of proportionality is 4/3
Step-by-step explanation:
The equation in question is y = (4/3)x, where (4/3) is the constant of proportionality as well s the slope of the line. The only line here that has a slope greater than 1 is the blue line (A).
Hello I need help help help help
Answers
x = 16
7 times 2 = 14
8 times 2 = 16
Hope that helped:)
The diagram below shows two parallel lines, m and n, cut by a transversal, k. Angles A, B, and C are shown in the diagram
A student writes a proof to show that the corresponding angles, A and B, are congruent. The student's proof is shown below
A. Both reason 2 and Reason 3 are correct as shown in the table
B. Reason 2 is correct, but Reason 3 should "Alternate interior angles are congruent"
C. Reason 2 should be "Alternate interior angles are congruent," but Reason 3 is correct
D. Both Reason 2 and Reason 3 should be "Alternate interior angles are congruent"
(look at picture to understand better)
Answers
9514 1404 393
Answer:
B
Step-by-step explanation:
Angles A and C are vertical angles; angles B and C are alternate interior angles. Only line 3 of the proof is in error.
The applicable description is found in choice B.
Given that m||n, find the value of x.
Answers
Answer:
x = 24°
Step-by-step explanation:
Using 180-degree formula, we can find x.
=> 84 + 4x = 180°
=> 4x = 180 - 84
=> 4x = 96
=> 24°
Therefore, x = 24°
Hoped this helped.
Answer:
[tex] {\boxed {\sf{x = 24 \degree}}}[/tex]
Step-by-step explanation:
In the given figure we have two consecutive interior angles.
We know that each pair of consecutive interior angles is supplementary.
So,
4x+84 = 1804x = 180 - 844x = 96x = 96/4x = 24Therefore, x = 24°
A construction crew needs to pave a road that is 207 miles long. The crew paves 8 miles of the road each day. The length, L (in miles), that is left to be paved after d days is given by the following function. L(d) = 207–8d Answer the following questions. (a) IF 143 miles of the road is left to be paved, how many days has the crew been paving the road? E 1 days (b) How many miles of the road does the crew have left to pave after 13 days?
Answers
Answer:
8: 207
x: 143
and solve that to get your answer
The required answers are-
(a) The crew been paving the road for 8 days.
(b) 103 miles of the road have left for the crew to pave after 13 days.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
The given equation to pave a road is,
L(d) = 207– 8d
where, length, L (in miles), and d days.
(a) For 143 miles of the road is left to be paved, the number of days is given as-
Put Length L(d) = 143 in the equation to pave a road
we get,
143 = 207– 8d
or, 8d = 207– 143
or, 8d = 64
or, d = 64/8
⇒ d = 8 days
So, The crew have been paving the road for 8 days.
(b) miles of the road have left for the crew to pave after 13 days.
Put d = 13 days in the equation to pave a road
we get,
L(d) = 207– 8*13
or, L(d) = 207– 104
⇒ L(d) = 103 miles
So,103 miles of the road have left for the crew to pave after 13 days.
Thus,The required answers are-
(a) The crew have been paving the road for 8 days.
(b) 103 miles of the road have left for the crew to pave after 13 days.
To learn more about roads:
brainly.com/question/1196760
#SPJ2
the orginial price of a pumkin is 3 $ if there is a sale of 25 percent of what is the orginial price
Answers
Answer:
$12
Step-by-step explanation:
Decide whether the two inequalities are equivalent. Explain.
b- 12 24: bs 16
O A Yes; if you solve the first inequality for b, you will get the second inequality.
o
B. No; if you graph both inequalities on the same number line, you will cover all real numbers.
O C. No; if you solve the first inequality for b, you will end up with an inequality with a different relation symbol than the second inequality
OD. No, if you graph both inequalities on the same graph, you will get b = 16.
Answers
Answer:
D,no if you graph both inequalitiesvon thevsame geaph ,you will get b =16
The monthly rent for an 800 square foot office is $975. For an 1100 square foot office, the rent is $1125. WRITE AND SOLVE A LINER EQUATION to find the monthly rent for a 1500 square foot office.
I need help and pls do it in The liner equation way which is also given two points.
Answers
Answer:
$1325Step-by-step explanation:
Translate the given into two pairs of coordinates:
(800, 975) and (1100, 1125)Work out the equation of the line passing through both of the points.
Find the slope:
m = (1125 - 975) / (1100 - 800) = 0.5Find the y-intercept:
975 = 0.5*800 + b975 = 400 + bb = 975 - 400b = 575The line is:
y = 0.5x + 575Find the value of y when x = 1500:
y = 0.5*1500 + 575 = 132510% is what number is 28
Answers
Answer:
28 is 10% of 280
Steps to solve "28 is 10 percent of what number?"
We have, 10% × x = 28
or,
10
100
× x = 28
Multiplying both sides by 100 and dividing both sides by 10,
we have x = 28 ×
100
10
x = 280
If you are using a calculator, simply enter 28×100÷10, which will give you the answer.
Find the gradient of the line segment between the points (4,-6) and (-6,-16).
Answers
Answer:
1
Step-by-step explanation:
gradient M= change in Y / change in X
= (-16--6)/(-6-4)
= -10/-10
M therefore= 1
You are given the first four terms of an arithmetic sequence. Under what
conditions might a recursive formula be preferred over the explicit formula?
Under what conditions might an explicit formula be preferred over the
recursive formula?
Answers
then the explicit would be preferred
Please not bots due in hour!
Answers
Answer:
Range is 7 to 42
Step-by-step explanation:
A store pays $65 for a robot and marks the price up by 20%. What is the amount of the
mark-up?
Answers
estimation for 5.24 - 2.14
Answers
Answer:
3.1
Step-by-step explanation:
lemme know if you want the explanation
If you roll a die twice , what is the probability that sum of the two die 8 will appear
Answers
Answer:
5/36
Step-by-step explanation:
Answer:
the probability of getting a total greater than 8 is 10/36=5/18
Step-by-step explanation:
Of the 36 different possible results of rolling a die twice, 10 of them have a total greater than 8.
Therefore, the probability of getting a total greater than 8 is 10/36 which equals 5/18
please help.......,................
Answers
Answer:
8×1=8+64=72
Step-by-step explanation:
there is your answer are you happy now
suppose you have $20 in your bank account. you start saving $5 each week. your friend has $5 in his account and is saving $10 each week. assume neither of you make any withdrawals.
Answers
Answer:
Question is missing
Step-by-step explanation:
Question missing
9.
Identify the point corresponding to Q.
IT'S NOT A. Q' (-3, -4)
A. Q′ (−3, −4)
B. Q′ (−4, 1)
C. Q′ (−1, −4)
D. Q′ (−4, −3)
Answers
Answer:
C(-1, -4)
Step-by-step explanation:
see the point reflected over the line through the vertex point
Answer:
D. Q′ (−4, −3)
Step-by-step explanation:
From looking at the graph it looks like the answer would be
Q= (3, -4) if the X-axis goes first
Q= (-4, 3) if the Y-axis goes first
Please help me solve this asap.
(step by step explanation)
Answers
Then we look for the slope: the line decreases from 240 to 210 (a change of -30) when traveling 300 miles (a change of 300). Since the slope is rise over run, we have -30/300=-1/10.
Therefore, the correct answer is J.
which ordered pair would be plotted in quadrant 3
Answers
Answer:
(-5,-9)
Step-by-step explanation:
Can someone help me please
Answers
Answer:
sorry i can answer that the asy
Answer:
Q1 - 10080
(sorry couldn't do q2 haha)
step by step;
Find the solution set of the inequality
14−3x<−1.
If right will mark Brainlyest!
Answers
Answer:
x > 5
Step-by-step explanation:
14 -14 - 3 x < -1 -14
-3 x < -15
-3 x / -3 < -15 / -3
x > 5
Find The slope of the line represented by the points in the table (use your notes to get the formula it needed).
4.
Number
of Hours
1
2.
3
4
Cost
($)
$17
$29
$41
$53
Answers
Please take a look at the picture
Answers
Answer:
A and B
Step-by-step explanation:
They both have the same numbers and at least one of the given numbers is negative.
Hope this helps :)
Jacob saw a model of a building that will be built in his city. The model has a height of 40 centimeters and will be built to a scale of 1:50. What is the actual height of the building? (1 m = 100 cm)
Answers
Answer:
20 m
Step-by-step explanation:
1/50 = 40/x
Cross multiply.
1 × x = 50 × 40
x = 2000
2000 cm × (1 m)/(100 cm) = 20 m
Answer: 20 m
