Answer:
[tex] \huge{ \boxed{ \bold{ \tt{m \angle \: abc \: = 35 \degree}}}}[/tex]
Option C is the best choice.
Step-by-step explanation:
✺ First , Let's know about Corresponding angles :
A pair of interior and exterior angles which lies to the same side of a transversal.Remember that the corresponding angles are always equal.The easiest way to think of corresponding angles is the 'F - Pattern'.✎ Now, In our case , x ° and ( 3x - 70 ) ° are corresponding angles. Set up an equation and solve for x.
[tex] \sf{x = 3x - 70\: ( \: being \: corresponding \: angles})[/tex]
[tex] \longrightarrow{ \sf{x - 3x = - 70}}[/tex] { Move 3x to left hand side and change it's sign )
[tex] \longrightarrow{ \sf{ - 2x = - 70}}[/tex] { Combine like terms }
[tex] \longrightarrow{ \sf{ \frac{ - 2x}{ - 2} = \frac{ - 70}{ - 2} }}[/tex] { Divide both sides by -2 }
[tex] \longrightarrow{ \sf{x = 35}}[/tex]
The value of x is 35°
Now, As we are asked to find the value of m [tex] \angle[/tex] ABC , replace the value of x :
[tex] \sf{m \angle \: ABC \: = (3x - 70) \degree}[/tex]
[tex] \dashrightarrow{ \sf{(3 \times 35 - 70) \degree}}[/tex]
[tex] \dashrightarrow{ \sf{(105 - 70) \degree}} [/tex]
[tex] \longrightarrow{ \boxed{ \sf{35 \degree}}}[/tex]
Therefore , m [tex] \angle[/tex] ABC = 35°
And we're done !
Hope I helped!
Best regards! :)
~TheAnimeGirl
the sum of two numbers is 16. their difference is 1. what is the product of the two numbers
Answer:
The product of the numbers is 63.75
Step-by-step explanation:
Let the numbers be x and y
x + y = 16
x -y = 1
Adding both together
2x = 17
x = 17/2
x = 8.5
Recall
x -y = 1
8.5 - y = 1
y = 8.5 - 1 = 7.5
Their product is xy
so we have 7.5 * 8.5 = 63.75
What is the equation in point slope form for the line parallel to y=8x+8 that contains P(-4,5)?
Answer:
Equation: y-5=8(x+4)
Step-by-step explanation:
Point-slope form is y-y1=m(x-x1)
Since m=8, y1=5, and x1=-4, then we have y-5=8(x+4) as our final equation
12.Simplify (4x + 7)2- (4x – 7)2
Answer:
28
Step-by-step explanation:
are you asking for ^2? The power of 2 is differnet than just 2
also brainliest pls
NEED HELP ASAP!!!
Which function does this graph represent?
A. F(x)= 3 (x+1)^2+2
B. F(x)= -3 (x+1)^2+2
C. F(x)= -3 (x+1)^2+2
D. F(x)= 3 (x-1)^2+2
Anna's college tuition payment is automatically
withdrawn from a separate checking account used only
to pay tuition. At the beginning of the year, the balance
in this account was $13,287.48. After withdrawals each
month for a year, the balance is $1,449.84. How much is
Anna's college tuition payment each month? Estimate to
show that your answer is reasonable.
Answer: $986.47
Step-by-step explanation:
The total tuition fee for the year is;
= 13,287.48 - 1,449.84
= $11,837.64
The payment per month will therefore be;
= 11,837.64/12 months
= $986.47
For the linear model, y = -67.9x +679, the distance, in miles y, is a function of time, x, in hours. Use the model to calculate the total distance, in miles, at x = 2 hours.
Answer:
543.2 miles
Step-by-step explanation:
Input the given value of x into the equation and solve for y:
y = -67.9x + 679
y = -67.9(2) + 679
y = -135.8 + 679
y = 543.2
The total distance in miles after 2 hours is 543.2 miles.
1. Parallelogram WXYZ is shown on the coordinate plane ect...
Added photo plz help!!
Answer:
Step-by-step explanation:
12.718 units
Step-by-step explanation:
The coordinates of the vertices of parallelogram WXYZ are given to be W(0,-1), X(4,0), Y(3,-2) and Z(-1,-3).
So, the perimeter of the parallelogram will be 2(WX + XY) {Since opposite sides of parallelogram are same in length}
Now, length of WX = units, To find the units click this link :
https://tex.z-dn.net/?f=%5Csqrt%7B(-1)%5E%7B2%7D%20%2B%204%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B17%7D%20%3D%204.123
And, length of XY = units, To find the units click this link :
https://tex.z-dn.net/?f=%5Csqrt%7B(4-3)%5E%7B2%7D%20%2B%20(0-(-2))%5E%7B2%7D%7D%20%3D%20%5Csqrt%7B5%7D%20%3D%202.236
Therefore, the perimeter of the parallelogram WXYZ = 2(4.123 + 2.236) = 12.718 units. (Answer)
Write the missing number and name the
property
(733X5)×2= 733 x 5
Answer:
the missing number is 2
Step-by-step explanation:
Left side is (733*5)*2 (please use * for multiplication, or · , but not X or x)
Right side is 733*5. Rewriting the expression this way makes it obvious that the missing number is 2.
i suck at math. help me. i would app it.
Answer:
x= 2
Step-by-step explanation:
y = 7 means it is parallel to the x axis . so the perpendicular line is to be parallel yo the y axis. .
so the equation is to be like x = c
but it is passing (2,13)
so the equation is
x= 2
A rectangular piece of metal is 9 in. longer than it is wide. Squares with sides 3 in. long are cut from the four corners, and the flaps are folded upward to form an open box. Which equation indicates that the volume of the box is 80 in. cubed?
Step-by-step explanation:
Let the width be = w
The length will be = w+9
And height h = 3 inches ( side of square =3 in)
Volume = l x w x h
According to question
[tex]80 = w(w+9)3\\3w^2+27w-80=0[/tex]
So, this equation indicates that the volume of the box is 80 in.
Can anyone help me with this?
Answer:
-37z
Step-by-step explanation:
A department store buys 500 shirts at a cost of $13,500 and sells them at a selling price of $30 each. Find the percent markup.
Answer:
5.5% hope this helps have a great day!
Step-by-step explanation:
Answer:
450
Step-by-step explanation:
i think if you do 13,5000 divided by 30 you get 450 thats why im saying 450
"I am 3 times as old as Sue is," Frank said to Ann. "On the other hand, I am 15 years older than John while Sue is 1 year younger than John. How old am I?"
If J represents John's age, then which of the following equations could be used to solve the problem?
J + 15 = 3J - 1
J + 15 = 3(J - 1)
Answer:
J + 15 = 3(J - 1)
Step-by-step explanation:
I am 99% sure this is the right answer.
Please help.
Solve:
n/2 - 10=6
((Show work))
*Sorry I forgot how to do this, and please answer this correctly*
Answer:
32
Step-by-step explanation:
(n/2) − 10 = 6
Add 10 to both sides.
n/2 = 16
Multiply both sides by 2.
n = 32
Answer:
n=32
Step-by-step explanation:
n/2 - 10=6
add 10 on both side
n/2 +10-10=6+10
n/2=16
multiply both side by 2
n/2×2=16×2
n=32
70.2 x 10
6.702 x 10?
7.02 x 100
7.02 x 10?
Answer:
70.2 x 10=702.
6.702 x 10=67.02
7.02 x 100=70.2
7.02 x 10=70.2
Step-by-step explanation:
I hope this help! :)
Write the equation y = 4x - 20 in Standard Form (AX + By = C) with integer coefficients
HELPPPP ASAPPP
Answer:
-4x + y = -20
Step-by-step explanation:
At Cass High School, 2/3 of the students play a sport. Of the students who play a sport, 2/5 play football. What fraction of the students at Cass High School play football? *
Answer:the answer is 3/8.
Step-by-step explanation:
How would I Graph y = -3/2x - 3
Answer:the slope is negative is the one with the x , -3/2 so that means the top of the line points to the top left
Start with -3 which on the y axis start on -3 go down thats the first dot point then do slope which is -3 down /2 right the opposite start again on -3 on the y go up 3 and 2 to the left connect points
Step-by-step explanation:
what plus 80 and 70 equals 180
Answer:
30
Step-by-step explanation:
Take 80 and 70 and add them together to get: 130
Then subtract 130 from 180
To get: 30
:)
Answer:
30
Step-by-step explanation:
80 + 70 = 150
180- 150 = 30
therefore 80 + 70 + 30 = 180
Please I will give brainylest if the answer is correct
Answer:
a^n +3
Step-by-step explanation:
simpify: a^na^3:\quad a^{n+3}
a^{n+3}
The side of a square flower bed is 1m 80cm. It is enlarged by digging a strip 20cm wide all around it. find. a) the area of the enlarged flower bed b) the increase in the area of the flower bed.
Answer:a)40,000 b) 7600cm2
Step-by-step explanation:
1/8 of a number is less than or equal to 3
Answer:
1/8n<3
Step-by-step explanation:
The letter "n" represents the number. Less than or equal to is represented by "<" but with a line under it.
Answer:
1/8n<3
Step-by-step explanation:
Geometry (congruent triangles ) help please idk what to do
Answer:
H
PLEASE MARK BRAINLIEST
Which mixed number is equivalent to twenty nine thirds?
Answer:
9 2/3
Step-by-step explanation:
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
9 2/3
for a given input value of n, the function h outputs a value of m to satisfy the following equation.
m+1=-2(n+6)
write a formula for h (n) in terms of n
h(n)=
Answer:
h(n) = - 2n - 13
Step-by-step explanation:
Given
m + 1 = - 2( n + 6) = - 2n - 12 ( subtract 1 from both sides )
m = - 2n - 13, that is
h(n) = - 2n - 13
The ratio of y to x is 21 to 7. If x is 10, what is the value of y?
A)3
B) 30
C) 70
D) 210
Answer:
The answer is 30, or B. If you neee an explanation let me know
Answer:
B
Step-by-step explanation:
This is because Y is exactly 3 times the amount of x so 10x3= 30
Write the equation of the line fully simplified slope-intercept form
Answer:
y=mx+b
Step-by-step explanation:
Answer:
y = (5/2)x - 5
Step-by-step explanation:
SLOPE:
The slope is rise over run, and in this case (thanks to the graph), we can do the [difference of y] / [difference of x] pretty easily. This is 5 / 2
Y-INTERCEPT:
Y-intercept is simple: where the line touches the y-axis. This happens at y = -5.
Therefore, the equation y = (5/2)x - 5
what is the answer
Answer:
-5,5
Step-by-step explanation:
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If I saved up $10 every 2 weeks, in a year I would have saved up $260. But, if I had saved up $20 per month, I would only have saved $240. Why do they have different totals?