Step-by-step explanation:
∠2 and ∠7 are alternate exterior angles so they are equal.
So you can create the equation
40x-48 = 20x+52 Subtract 20x from both sides. Add 48 to both sides.
20x = 100
x = 5
if you need m∠2 Substtute 5 for x in 20x+52
20(5) + 52 = 100 +52 m∠2= 152°
m∠7 40(5) - 48 = 200-48 m∠7= 152°
The value of the variable x is given as 8000.
What are the rules of exponents?Some of the rules of exponents are as follows,
The product of two exponents having the same power is equal to the power of their base multiplied.
The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.
The given exponential expressions are as below,
n⁴ = 20x
And, n³ = x
Then as per the rule of exponent, the following it can be written as,
n³ = x
⇒ n × n³ = n × x
⇒ n⁴ = nx
⇒ 20x = nx
⇒ n = 20
Then, x = 20³ = 8000
Hence, the value of x is found to be 8000.
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Two complementary angles are in the ratio 7 :11. Find the angles
Answer:
7x+11x=90
18x=90
x=5
one angle = 35 degrees
another angle = 55 degrees
Step-by-step explanation:
Dereck spends $3 on breakfast and 5.50 on luch every school day.How much does he spend on breakfast and lunch in a school week (monday-friday)
Answer:
$42.50
Step-by-step explanation:
3 + 5.5 per day = 8.5
8.5 x 5 days per week = $42.50 per week (mon-fri)
Find the length of side BC.
Give your answer to 1 decimal place.
Answer:
BC ≈ 11.9 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin58° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{14}[/tex] ( multiply both sides by 14 )
14 × sin58° = BC , thus
BC ≈ 11.9 cm ( to 1 dec. place )
The length of the side BC of the triangle is 11.58 units.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that the angle of the triangle is 58 and the hypotenuse is 14 cm.
The side BC will be calculated as,
14 × sin (58°) = BC
BC = 11.58 units
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Tell how many solutions each equation would have: one solution, no solutions, or infinitely many solutions. Give a justification for your answer.
3x+6+1=2x+8+2x
Answer:
One solution
Step-by-step explanation:
X is equal to -1 meaning you can only plug in -1 for this equation to be true and not any other number
Estimate.
509 × 36
help plz!
Answer: ≈20,400
Explanation:
Theoretically, you'd bring 509 up to 510 and 36 up to 40.
510 x 40= 20,400
Sorry if I'm wrong ^^
1 over 7 of 2 over 5 is equal to
Answer:
2/35
Step-by-step explanation:
1 over 7 is 1/7, of means times, and 2 over 5 is 2/5, so 1/7*2/5
Hope that this helps!
Consider the diagram below.
1) The measure of
2) The sum of m
Answer:
<a=61 m<c and m<b=90
Step-by-step explanation:
Find the m∠IHQ if m∠IHG is 176° and m∠QHG is 130°
find out the value of x in the following polygon with the formula
Answer:
50
Step-by-step explanation:
ABCD is quadrilateral. Sum of all the angles in a quadrilateral is 360. This means angle ADC will be 130.
ADE is a straight line. Angle ADC and angle CDE should sum up to 180. From here we can infer that angle CDE=x is 50
Plzzz help! I’ll give you the Brainliest.
If a sailing ship traveled 100 miles (160 kilometres) a day about how many days would it take to travel between London and New York City? Explain.
Distance: __________
Travel Time: __________
Hint: find the distance between London and New York City first.
Plz tell me the distance and travel time it took.
Thank you!
Answer: distance: 160 kilometres
travel time:100
Step-by-step explanation:
Answer:
94 days 9400 distance
Step-by-step explanation:
Explain how do you know when an equation is completely solved.
A sweater at Hollister costs $42. After-tax the sweater is $44.94. What is the sales tax rate?
Answer:
2.00$ and 94¢is the tac
Tax rate = 7%
What Is a Tax Rate?
A tax rate is the percentage at which an individual or corporation is taxed. The United States (both the federal government and many of the states) uses a progressive tax rate system, in which the percentage of tax charged increases as the amount of the person's or entity's taxable income increases.
Given,
Hollister costs = $42
After tax Hollister costs = $44.94.
tax amount = 44.94.- 42 = 2.94
Tax rate = (After tax Hollister costs - Hollister costs)/Hollister costs
Tax rate = (44.94.- 42)/42
Tax rate = 2.94/42
Tax rate = 0.07
Tax rate = 7%
therefore, the tax rate for the sweater is 7%
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Camila is competing in a 26-mile race. She runs at a constant speed of 12.5 mi/h. Write an equation in slope intercept form to represent
the distance Camila has left to run after x hours. How many hours will it take her to finish the race?
Answer:
2.08 or 2
Step-by-step explanation:
26 = 12.5x
y=mx+b
it will approximately take 2 hours, but to be exact, 2.08
3/8 of the seventh grade students were taking advanced math at the beginning of the year, but seven dropped out by the end of the year. if there were 149 students taking advanced math at the end of the year, how many total 7th grade students are there?
Answer:
416 I believe.
Step-by-step explanation:
add 7 to 149
divide 156 by 3 to get 1/8 of total.
Get 52 and then multiply by 8 to get 416
-14/2 is = to what number my brain is saying no to math today.
Answer:
the answer would have to be -7
Sara reduced the time it takes her to run a mile from 8
minutes to 6 minutes. What was Sara's percent decrease
in the time it takes her to run a mile?
A. 14%
B. 25%
C. 33%
D. 75%
Answer:
25%
Step-by-step explanation:
Please help I need one more answer to pass
Answer:
20 cm
Step-by-step explanation:
12^2 = 144
16 ^ 2 = 256
256+144 = 400
sqrt(400) = 20
hope this helps!
Answer:
The hypotenuse is 20 cm :)
Step-by-step explanation:
Using a^2 + b^2 = c^2
12^2 + 16^2 = c^2
144 + 256 = c^2
400 = c^2
c = sqrt(400)
c = 20 cm
23) 2,747
What’s the quotient
Answer:
119.434783
Step-by-step explanation:
Long division.
4 times a number equal 5 less than a number times 8.
Answer:
4n=8n-5
Step-by-step explanation:
Answer:
Let the number be x
As per statement, 7 less than 4 times a number equals 13
4x - 7 = 13
4x = 13 + 7
4x = 20
x = 20 / 4
x = 5
The number is 5
Answer the number is 5
Let us check the correctness of answer by following the statement viz 7 less than 4 times a number equals 13
4 × 5 - 7 = 13
20 - 7 = 13
13 = 13
Means answer is correct
Step-by-step explanation:
Can someone help me out please txt 100 points no problem
Answer:
trigonometry: a^2+b^2=c^2
7= slant
4= half of base (8/2)
[tex] {7}^{2} + {4 }^{2} = \sqrt{65} [/tex]
[tex] \sqrt{65} = 8.06[/tex]
he is 6.5 so yeah he can fit
Select all the zeros of the function f(x)=(x+10)(x−5)(x+1).
– 10
– 5
– 1
0
1
5
10
Answer:
-10, -1, 5
To find the zeros of a function, you have to set each factor to zero in separate equations, and then solve for x.
x+10=0
Subtract 10 from each side
x=-10
x-5=0
Add 5 to both sides
x=5
x+1=0
Subtract 1 from both sides
x=-1
Can somebody please help me ?? :)
Answer:
first option
Step-by-step explanation:
Multiplying a complex number by its conjugate gives a real number and thus removes imaginary numbers in the denominator.
If z = a + bi then its conjugate is a - bi and their product
(a + bi)(a - bi) → where a and b are real
= a² + b² ← a real number
Lcm of 6 and 28 pls help
Answer:
84
Step-by-step explanation:
Work out the mean of these numbers:
root 27, root 48, root 75
give your answer in the form a root 3 where a is an integer
Answer:
4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplify the radicals
[tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]
[tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]
[tex]\sqrt{75}[/tex] = [tex]\sqrt{25(3)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{3}[/tex] = 5[tex]\sqrt{3}[/tex]
Now mean is calculated as
mean = [tex]\frac{sum}{count}[/tex] , then
mean = [tex]\frac{3\sqrt{3}+4\sqrt{3}+5\sqrt{3} }{3}[/tex] = [tex]\frac{12\sqrt{3} }{3}[/tex] = 4[tex]\sqrt{3}[/tex]
Given the function f(x) = 5x -1, what is the value of f(4)?
O 1
019
O4
-1
N
The ideal length of a particular metal rod is 25.5 cm. The measured
length may vary from the ideal length by at most 0.025 cm. Find the
range of acceptable lengths for the rod.
Answer:
25.252
Step-by-step explanation:
7. The function A(t) = Pe" is used to calculate the balance. A, of an
investment in which the interest is compounded continuously at an
annual rate, r, over t years. Find the inverse of the formula. Describe
what information the inverse gives.
Answer:
lol i don’t have an answer but hey averi, i’m struggling too.
Step-by-step explanation:
You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each. You have a budget of $300 for the shirts. The equation 10x+12y=300 models the total cost, where x is the number of short-sleeved shirts and y is the number of long-sleeved shirts.
Question:
a. Graph the equation.
b. Twelve students decide they want short-sleeved shirts. How many long-sleeved shirts can you order.
Answer:
See attachment for graph
12 long-sleeved shirts
Step-by-step explanation:
Given
[tex]10x + 12y = 300[/tex]
Plotting the graph:
Set x = 0
[tex]10(0) + 12y = 300[/tex]
[tex]12y = 300[/tex]
[tex]y = 300/12[/tex] --- divide through by 12
[tex]y = 25[/tex]
Set x = 0
[tex]10x + 12(0) = 300[/tex]
[tex]10x = 300[/tex]
[tex]x = 300/10[/tex] --- divide through by 10
[tex]x = 30[/tex]
So, the graph will be plotted using: (0, 25) and (30, 0)
See attachment for graph
Determine y when x = 12
[tex]10x + 12y = 300[/tex]
[tex]10(12) + 12y = 300[/tex]
[tex]120 +12y = 300[/tex]
[tex]12y = 300 - 120[/tex] --- collect like terms
[tex]12y = 180[/tex]
[tex]y = 180/12[/tex] -- solve for y
[tex]y = 15[/tex]
Choose the possible correct names for the highlighted angle. (There are
more than one correct answers) ****picture
Why is 3+(-5) equal to -2
Answer:
c
Step-by-step explanation:
Here's an example: 3/5 divided by 7/8.
3/5
_____
7/8
Let's do it WRONG, to see why that's bad. Here's our example, multiplied by something that ISN'T equal to one:
3/5 1 3/5 3/5
_____ * _____ = _______ = ______ = 3/5
7/8 8/7 56/56 1
Multiplying 7/8 by 8/7 turns our denominator into 1, which seems helpful. But it leaves us with the same numerator we started with. Can this be right? Is 3/5 divided by 7/8 equal to 3/5 divided by one, so that 7/8 = 1? Oops, that has to be wrong.
For comparison, here's the RIGHT way:
3/5 8/7 24/35 24/35
_____ * _____ = _______ = _______ = 24/35
7/8 8/7 56/56 1
In this case, what we multiplied by, 8/7 divided by 8/7, is equal to one, because anything divided by itself is equal to one. But 1 over 8/7, which we used up above in the first example, is NOT equal to one, which means that if we use 1 over 8/7, we change our question. We may get an answer, but it won't be the right one.