Each angle = 60 o Explanation: The two alternate interior angles provided are: ( 2 x + 10 ) o and, ( 3 x − 15 ) o A pair of alternate interior angles as per property ,have equal values. ( 2 x + 10 ) o = ( 3 x − 15 ) o ( 10 + 15 ) o = 3 x − 2 x 25 o = x So, angle 1: ( 2 x + 10 ) o = 2 × 25 + 10 = 60 o angle 2: ( 3 x − 15 ) o = 3 × 25 − 15 = 60 o
Solving a Real-World Problem
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
x + y = 29, 5x + 2y = 100
x + y = 100, 5x + 2y = 29
5x + y = 29, 2y + x = 100
2x + y = 100, 5y + x = 29
Answer:
x + y = 29
5x + 2y = 100
Step-by-step explanation:
Here, we want to set up equations
There are 29 problems, so adding up the number of individual problem types will give 29
x + y = 29 ••••••(i)
Let us work with points now;
x is worth 5 points, y is worth 2 points
Thus, mathematically;
5x + 2y = 100 ••••••••••(ii)
Answer: A. x + y = 29, 5x + 2y = 100 and the other one is B. 14 problems worth 5 points and 15 problems worth 2 points
The position of county commissioner was added in what year? 1865 1777 1733 1868
Answer:
1868 is the answer your looking for
Step-by-step explanation:
Answer:
1868
In 1868, the position of county commissioner was added to the elected officials of a county.
Helppppppppppppppppppppp due in 2hrs
plz watch for more questions
the 2nd pic has the 2 options plz have an explanation
Answer:
B. 20 = 2g
Step-by-step explanation:
What we see here is a diagram showing a bar of 20 at the top, and a pair of g's bars each taking up half of the 20 bar.
Seeing this, that would mean the 2 bars showing g equal 20, so the equation 20 = 2g is the one which the diagram shows.
HELPPPPP PLEASEEEE!!!!
Answer:
pretty sure x is 60 because 60+25 is 80 and its the same as N so 80
Step-by-step explanation:
Solve 7x - 9 = 28 + 4(x - 1).
A X = -11
B x = 11
C X = 3
D x=-3
How does the decimal point move when multiplying 79.816×103?
Answer:
it moves 2 to the right
X+4²=2 answer plz plz
Answer:
Step-by-step explanation:
Here you go mate
Step 1
X+4²=2 Equation
Step 2
X+4²=2 4x4
x+4^2=2
Step 3
x+4^2=2 subtract 4^2
answer
x=-14
hope this helps
4x - x, for x=2 WHATS THE ANSWER
I need help with all 3 please help!
I
1. Eating at a nice restaurant, the waitress brings you a bill for $57.65. If
you want to leave 20%, what is the tip amount?
Answer:
I think 11 dollars but I don't know how many cents close to another dollar though so it would be somewhere around 11-12$
i need help with geometry
Answer:
It would be C. I and II
Step-by-step explanation:
Anybody know this? (Geometry)
Answer: d
Step-by-step explanation:
If interest is compounded semi-annually, which expression represents the account balance in t yeats?
Answer:
ANNUAL Compounding : Total = Principal * (1 + rate)^years
Semi-Annual TOTAL = Principal * (1 +rate/n)^n*years
where "n" is the number of compounding periods per year
So the formula for semi-annual compounding is
TOTAL = Principal * (1 +rate/t)^t*years
Step-by-step explanation:
Type the correct answer in the box. If necessary, use / for the fraction bar.
A fish tank is a cube. Its side length is 4 1/2 feet.
The volume of water needed to completely fill the fish tank is ______ cubic feet.
Answer:
15 i think
Step-by-step explanation:
Answer:
Step-by-step explanation:
Susan and James will put their money together. What is the most expensive snack they will be able to buy? Math
Answer:
What snacks can they buy? if Susan and James don't know that they must be slow, might as well not even buy snacks if they can't figure that out.
Step-by-step explanation:
Which two ratios form a proprtion?
A) 6/9 and 3/1
B) 6/9 and 1/3
C) 6/9 and 2/3
D) G/9 and 3/2
Casey's drill team squad was responsible for painting props for a performance at a band contest. The squad painted 18 props in 90 minutes. If they continued painting at this rate, how many props would they paint in 3 hours?
Answer: They would paint 36 props in 3 hours.
Step-by-step explanation:
Given: The squad painted 18 props in 90 minutes.
Time taken to paint each prop = [tex]\dfrac{90\text{ minutes}}{18}[/tex]
= 5 minutes
Now, 1 hour = 60 minutes
3 hours = 3 x 60 minute = 180 minutes
Total props painted in 3 hours = (180 )÷5
= 36
Hence, with same rate , they would paint 36 props in 3 hours.
3x+8 if x=2
15
13
16
14
Answer:
14
Step-by-step explanation:
3*2+8
=14
I wasn't in class so I need help solving the inequality 7/10n+14<49
Answer:
n<50
Step-by-step explanation:
7/2*5n + 14<49
7n/2*5+14<49
(7n)+(2*5)14/2*5 <49
7n+10*14/2*5 <49
7n+140/2*5 <49
7n+140/10 <49
7n+140 < 10*49
7n+140 < 490
(7n+140)+(-140)<490+(-140)
7n+140-140<490-140
7n<350
7n/7 < 350/7
n<2*5^2*7/7
n<2*5^2
n<2*25
n<50
Points A,B, and C are collinear. Point B is between A and C. Solve for x.
Find x if AB = 2x-14, BC = x+4 and AC =14
helpp will give brainliest
Answer:
Ac=14 is you answer i think
Step-by-step explanation:
Hope this helps
HELPPP NEED THIS IN THE NEXT 10 MINSS!!!!
200-123+289-2/2=????
Answer:
365
Step-by-step explanation:
200-123+289-2/2
77+289−2/2
366−2/2
366−1
= 365
PLZZZ, help I having a Test!!!
What is the length of AD? The picture is attach....
Answer:
kite
Step-by-step explanation:
it be kite
Find the LCM of 18e2x, e2t and y3.
In a class of 45 students, there are 12 girls. What percentage of the girls are in the class?
Please explain!
Answer:
12/45 = 0.26666666
0.26666666 X 100 = 26.6666666
27%
Seahorses change color and swim together in predetermined ways before mating. These behaviors are called
A. asexual reproduction.
B. sexual reproduction.
C. courtship rituals.
D. budding.
PLEASE HELP IM NOT GOOD AT MATH!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Jimmy was walking to get the mail; at which time he fell into a hole and broke his ankle. He has a PPO insurance plan. His total bill was $2,000. If Jimmy has a $1,000 deductible with an 80/20% co-insurance, how much total will Jimmy have to pay out of pocket? Show your work.
Answer: $200
Step-by-step explanation:
Since there is a deductible here, you deduct it from the total bill first:
= 2,000 - 1,000
= $1,000
With an 80/20% coinsurance plan, you will pay for 20% of this bill and your insurance company will pay 80%.
You will therefore pay:
= 1,000 * 20%
= $200
Find the solution between - x - 3y = 6 and the equation of the line shown on the graph below.
Answer:
They are the same line.
Step-by-step explanation:
y = -1/3x - 2
-x - 3y = 6
First, we need both lines to follow the equation of y = mx + b so that we can graph them. We already have one equation in that form (the one from the graph given), so we can ignore that for now.
Next, we need to solve -x - 3y = 6. Let's first move the x to the other side of the equal sign.
-3y = x + 6
Now, since we have a similar equation to what we need, we just need to divide the y by the given number in front (or -3). But that also means that we must divide the other side by the same amount (or each variable).
-3y = x + 6. -> y = -1/3x - 2
So, your final equation for -x - 3y = 6 should be;
y = -1/3x -2
Bringing down the other equation, we get:
y = -1/3x - 2 and y = -1/3x - 2
Making both equal to each other (they cancel each other out).
Hope this helps!
(And sorry that this is a long explanation)
PLEASEEEEEEE HELLLPPPPPPPPP EMERGENT
Answer:
She worked four hours and earned 36 dollars
Step-by-step explanation:
Answer:
it shows that when she works for 4 hours, she earns 36 dollars!!
Step-by-step explanation:
solve the following equation when x = 8
15x - 2 =
Answer:
118
Step-by-step explanation:
15(8)-2
120-2
118
Brainly plss?
Answer:
118
Step-by-step explanation:
you do 15 x 8 then subtract 2 from the product
A bridge spans a distance of 1012m. Large cables are attached to the tops of the towers, 45 m above the road. The road is suspended from the large cables by many smaller vertical cables. The smallest vertical cable measures about 1.5m. Determine a quadratic equation for the large cables.
Answer:
A quadratic equation for the large cables is [tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]
Step-by-step explanation:
The shape of the quadratic equation representing the large cables is a parabola
Taking the point of the smallest vertical cables as the vertex, (h, k) with coordinates, (0, 1.5), we have;
h = -b/(2·a)
∴ 0 = -b/(2·a), from which we have, b = 2·a × 0 = 0
k = 1.5 = c - (b²/(4·a) = c - (0/(4·a)) = c
∴ c = 1.5
The standard form of the quadratic equation, a·(x - h)² + k is therefore, given as follows;
f(x) = a·(x - 0)² + 1.5 = a·x² + 1.5
At the towers which are on either side of the bridge, when x = 1012/2 = 506, f(x) = y = 45
Therefore, we have;
45 = a·506² + 1.5
a = (45 - 1.5)/506² = 87/512072 ≈ 1.699 × 10⁻⁴
The quadratic equation for the large cables, f(x), can therefore be presented as follows;
[tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]