Two parallel lines, a and b, are cut by transversal p. What is the
measure of Zx?
11
10
65°
P
A 65
75
105
D 115
Answers
The measure of x is 115° from the given parallel lines. Therefore, option D is the correct answer.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
Let the interior alternate angle to 65° be y.
Now, y=65° (Alternate interior angles are equal)
Here, y°+x°=180° (Adjacent angles)
65°+x°=180°
x°=115°
Therefore, option D is the correct answer.
To learn more about the alternate interior angles visit:
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Related Questions
You have $2,000 on a credit card that charges a 17% interest rate. If you want to pay off the credit card in 3 years, how much will you need to pay each month (assuming you don't charge anything new to the card)?
Answers
Answer:
Step-by-step explanation:
2000*17%=340
2000+340=2340
2340/4*12= 48.75
3³ - (60 - 10) + 8
Answers
Answer:
According to the Google calculator, the answer is -15
The cost of a gym membership is a onetime joining fee of $140, plus a monthly fee of $40. Joe wrote a $500 check to pay his gym membership for a certain number of months, including the onetime fee. How many months of membership did he pay for?
Answers
c
a
=
$
10
m
+
$
15
The cost of membership at gym B can be written as:
c
b
=
$
4
m
+
$
40
Where
c
g
y
m
is the cost after
m
months.
To find when the cost is equal, equate the right side of both equations and solve for
m
:
$
10
m
+
$
15
=
$
4
m
+
$
40
Next, subtract
$
15
and
$
4
m
from each side of the equation to isolate the
m
term while keeping the equation balanced:
−
$
4
m
+
$
10
m
+
$
15
−
$
15
=
−
$
4
m
+
$
4
m
+
$
40
−
$
15
(
−
$
4
+
$
10
)
m
+
0
=
0
+
$
25
$
6
m
=
$
25
Now, divide each side of the equation by
$
6
to solve for
m
while keeping the equation balanced:
$
6
m
$
6
=
$
25
$
6
$
6
m
$
6
=
$
25
$
6
m
=
25
6
m
=
4.17
At 4 months the cost of the two gym memberships will be about the same.
Help please
Will mark as brainliest!!!
Answers
Answer:
c
Step-by-step explanation:
In △ABD, DG=40 in.
What is the length of DF?
Enter your answer in the box.
Answers
Answer:
60. GF=20 so add those together
Step-by-step explanation:
Answer:60in
Step-by-step explanation:
How to find probability of P(1)
Answers
Answer:
I need more context, can you take a screenshot of the actual question or something.
Step-by-step explanation:
Help stat please.Brainlist for the best ansmwer
Answers
(-9/8)x-7=-25
Multiply both sides by 8
-9x-56=-200
Move the constant to the right
-9x=-200+56
-9x=-144
-9x/-9=-144/9
x=16
What is the range of the graphed function?
0-5
0-4 Sy < 0
oo sys 4
o {0,1,2,3,4}
Answers
Answer:
Step-by-step explanation:
y equels 4
A shop sells orange juice in the following ways:
500 ml bottle for £1.15
1.5 l carton for £2.70 each or 2 cartons for £5
3.5 l carton for £5.75
What's the cheapest way of buying exactly 9 litres with no extra?
Find the amount of each type of bottle or carton you need and the total cost of buying 9 litres.
Answers
Answer:
The cheapest way to purchase 9 liters of orange juice would be to buy 3 promotions of 2 1.5 liter bottles of drink at £ 5 each promotion, totaling £ 15.
Step-by-step explanation:
To obtain the cheapest way to buy 9 liters of orange juice, the cost per liter of each type of container must be determined:
500 ml bottle = £1.15 (£2.30 per liter)
1.5 l carton = £2.70 (£1.80 per liter)
2 cartons of 1.5 l = £5 (£1.66 per liter)
3.5 l carton = £5.75 (£1.64 per liter)
Thus, there is in principle a staggered way to buy the drink: 2 cartons of 3.5 liters, plus 1 carton of 1.5 liters, plus 1 bottle of 500 ml, which would add up to a total cost of £15.35 (5.75 x 2 + 2.70 + 1.15) .
Now, you could also take advantage of the promotion of 2 cartons of 1.5 l at £5, with which buying 3 of these promotions would acquire the 9 liters of drink (1.5 x 2 x 3) at £15 (3 x 5).
Thus, the cheapest way to purchase 9 liters of orange juice would be to buy 3 promotions of 2 1.5 liter bottles of drink at £ 5 each promotion, totaling £ 15.
find the output when x = 6
Answers
Answer:
5
Step-by-step explanation:
the points is also given on graph
(6,5)
33.366 divided by 6.7
Answers
Answer:
Step-by-step explanation:
33.366/6.7= 4.98
what is the area of a rectangle that has a height of 7x^2 and a width of 3x^2+8x+7
Answers
Answer:
21x^4 + 8x + 7
Step-by-step explanation:
This is the answer because:
1) Simplify each term and multiply like terms and multiply them because in order to find the area we have to multiply the height and width.
2) Since we have to multiply like terms, 7x^2 and 3x^2 are the only like terms. Therefore, we multiply 7x^2 * 3x^2 = 21x^4.
3) The rest of the numbers are not like terms.
4) Therefore, the answer is 21x^4 + 8x + 7
Hope this helps!
can someone tell me if I’m right or wrong
I got x=5,-5,i,-i on a calculator
But the answer choice has 1
Answers
For that particular polynomial your answer would be
x1=-5, x2=5
Answer:
B: [tex]-5, 5, i[/tex]
Step-by-step explanation:
The roots are [tex](x-5)(x+5)(x^{2}+1)[/tex] according to my TI-89 calculator.
The length of a rectangular dog run is 2 feet more than twice the width, w, and the perimeter of the dog run is 32 feet. Solve the equation
2w + 2(2w + 2) = 32 to find the width, w, of the dog run. Then find the length, 2w+2, of the dog run.
Answers
Answer:
The width is:
width = 4.7 feetThe length is:
length = 11.3 feetStep-by-step explanation:
Given the equation
[tex]2w\:+\:2\left(2w\:+\:2\right)\:=\:32[/tex]
[tex]2w+4w+4=32[/tex] ∵ [tex]a\left(b+c\right)=ab+ac[/tex]
Add similar elements: 2w+4w=6w
[tex]6w+4=32[/tex]
subtract 4 from both sides
[tex]6w+4-4=32-4[/tex]
[tex]6w=28[/tex]
Divide both sides by 6
[tex]\frac{6w}{6}=\frac{28}{6}[/tex]
[tex]w=\frac{14}{3}[/tex]
Hence, the width is:
[tex]w=\frac{14}{3}[/tex]
w = 4.7 feet
Therefore, the width is: 4.7 feet
As the length is:
2w+2 = 2(14/3)+2
= 28/3 + 2
= 34/3
= 11.3 feet
Therefore, the length is: 11.3 feet
SUMMARY:
The width is:
width = 4.7 feetThe length is:
length = 11.3 feetWhat is the fraction equivalence of 4.8?
Answers
Answer:
48/10
Step-by-step explanation:
Maria, Bill, and Eric have a total of $95 in their wallets. Maria has 10 less than Bill. Eric has 3 times what Bill has. How much does each have?
Plz help.
Answers
Answer:
[tex] \boxed{Maria \: got \: \$11} \\ \boxed{Bill \: has \: \$21} \\ \boxed{ Eric \: has \: \$63}[/tex]
Step-by-step explanation:
[tex]let \: maria \: be \to \: m \\ let \: eric \: be \to \: e \\let \: bill \: be \to \: b \\then : m =b - 10 \: and \: e = 3b \\ but : m + b + e = 95 \\ hence \to \: (b - 10) + b + (3b) = 95 \\ 2b - 10 + 3b = 95 \\ 5b = 95 + 10 \\ 5b = 105 \\ \boxed{b = 21} \\ m = b - 10 = 21 - 10 \\ \boxed{ m = 11} \\ e = 3b = 3(21) \\ \boxed{e= 63}[/tex]
♨Rage♨
Help plz !!!!!!!!!!!!!!
Answers
Answer:
88
Step-by-step explanation:
Hope this helps
plzz mark brainliest
Based on your measurements in question 1, what is the relationship between the diagonals of parallelogram ABCD
Answers
Answer:
Point E divides each diagonal in half. It is the midpoint of AC and BD . This means the two diagonals bisect each other at point E.
Step-by-step explanation:
PLATO
Answer:
Point E divides each diagonal in half. It is the midpoint of AC and BD . This means the two diagonals bisect each other at point E.
Step-by-step explanation:
edmentum
(x+0.5)^3 Expand the Equation using Pascal’s Triangle and the Binomial Theorem.
Answers
Answer: x^3 + 1.5x^2 + 0.75x + 0.125
Step-by-step explanation:
Use the binomial expansion theorem to find and simplify each term.
A taxi ride costs $4 plus an additional $3 per mile. Write the equation for the line in slope-intercept form
Answers
Answer:
y=3x+4
Step-by-step explanation:
4 is your y-intercept, and 3 is your slope.
The linear function shows the total cost will be y = 3x + 4.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given,
A taxi ride costs $4 plus an additional $3 per mile.
Let's say the number of miles is represented as x while the total cost is represented as y.
y = 3x + 4
Hence "The linear function shows the total cost will be y = 3x + 4".
For more about the linear function,
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There are 420 students . The ratio from girls to boys is 4- 3 . How many more girls?
Answers
A triangle has vertices on a coordinate grid at P(-10,1)P(−10,1), Q(-10,-7)Q(−10,−7), and R(-5,-7).R(−5,−7). What is the length, in units, of \overline{PQ}
PQ
?
Answers
Answer:
Step-by-step explanation:
Given the following coordinates of a triangle
P(-10,1)
Q(-10,-7)
R(-5,-7)
Required
Length of PQ
PQ = √(y2-y1)²+(x2-x1)²
From the coordinate;
x1 = -10, y1 = 1, x2 = -10 y2 = -7
Substitute
PQ = √(-7-1)²+(-10-(-10))²
PQ = √(-8)²+0²
PQ = √64
PQ = 8units
Hence the length of PQ in units is 8units
Find the slope of each line passing through the given points using the slope formula.
(-3, -10) and (-1, -1) URGENT Please answer
Answers
Slope (m)= y\x= 9/2 = 4.5
your equation for the line is
y=4.5x+3.5
Please help I really need help
Answers
Answer:
D
Step-by-step explanation:
integers are a whole number; a number that is not a fraction.
Solve for the value of c.
Answers
Answer:
c = 11
Step-by-step explanation:
2c+8+6c-6 = 90 ( the angle measure of the two angles)
8c+2 = 90
8c = 88
c = 11
3 folders cost $2.91 dollar sign . Which equation would help determine the cost of 2 folders? WRITE THE LETTER IN THE SPACE BELOW.
Answers
Answer:
$1.94
Step-by-step explanation:
Cost of 3 folders = $2.91
We need to find the cost of 2 folders.
First we will find the cost of 1 folder
1 folder = $2.91/3 = $0.97
To find the cost of 2 folders, multiply $0.97 and 2
2 folders = $0.97 × 2
= $1.94
Hence, the cost of 2 olders is $1.94.
h(x) = 3x2 - 2x + 13
h(3)
[?]
Answers
Answer:
34
Step-by-step explanation:
h(x)=3x^2-2x+13
h(3)=3(3)^2-2(3)+13
h(3)=3(3)(3)-6+13
h(3)=3(9)-6+13
h(3)=27-6+13
h(3)=21+13
h(3)=34
What is a density of an object that has a mass of 100g and a volume of 20cm3
Answers
Answer:
5g/cm^3
Step-by-step explanation:
DENSITY=mass/volume
=100/20
=5g/cm^3
So the density is 5g/cm^3
Richard invests $230.92 every month into his mortgage. At the end of 30 years, he has a balance of $184,033.06. What interest did he make over 30 years?
Answers
Richard made $100,719.46 in interest over 30 years on his mortgage.
To calculate the total interest Richard made over 30 years, we need to find the total amount he invested and then subtract that from the final balance.
Richard invests $230.92 every month for 30 years, which is a total of:
Total investment = 30 years * 12 months/year * $230.92/month
Total investment = $230.92 * 360
Total investment = $83,313.60
Now, we can calculate the interest earned by subtracting the total investment from the final balance:
Interest = Final balance - Total investment
Interest = $184,033.06 - $83,313.60
Interest = $100,719.46
Therefore, Richard made $100,719.46 in interest over 30 years on his mortgage.
To know more about interest:
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31 = 9/3+6 solve the equation
Answers
Answer:
This question doesn't really make sense...
Step-by-step explanation:
Please try to correct it.
Answer:
9 is the answer
Step-by-step explanation:
1. 31 = 9/3+6 <------- This is the original equation.
2. 31 = 3+6 <------- Simplify the fraction.
3. 31 = 9 <-------- This is the final answer.
Hope this helps! I did the best I could. :)