Answer:
1.) x = 37
2.) m<SVW = 74 deg
3.) m<TWV = 106 deg
Step-by-step explanation:
Linea SY and TZ are shown to be parallel.
Angles SVW and TWV are same-side interior angles.
Theorem:
If parallel lines are cut by a transversal, then same-side interior angles are supplementary.
m<SVW + m<TWV = 180 (by the definition of supplementary angles)
2x + 3x - 5 = 180
5x - 5 = 180
5x = 185
x = 37
m<SVW = 2x = 2(37) = 74
m<TWV = 3x - 5 = 3(37) - 5 = 111 - 5 = 106
Answer:
1.) x = 37
2.) m<SVW = 74 deg
3.) m<TWV = 106 deg
Help me pleaseeee...
Answer:
90
Step-by-step explanation:
PVQ = 60 an RVS = 30, 60 + 30 = 90
One fifth of a number is added to one third of the same number. If the sum is 96, find the number
180. 180 ÷ 5 = 36, and 180 ÷ 3 = 60, and 60 + 36 = 96.
6x- 12 = 36 2 step equation a little help please
Answer:x=8
Step-by-step explanation:
LOOK AT THE IMAGE ABOVE PLEASE ANSWER I NEED THIS NOW!! PLEASE SHOW FULL WORK PLEASE
okay well for a) the line is perpendicular meaning that it need to go the opposite way of 2/3x+6 so in the new equation would have a negative value times x. also when you are trying to find a perpendicular line i believe you use the inverse of the slope meaning that you would have -3/2 time x. Then you know that the line goes through (-6,4) so you just replace x with -6, add a varible (for example n) and then set the equation equal to 4 since 4 should be the y value that you get when you plug in 4. so it should look like
(-3/2)-6+n=4 you're doing this so that you can figure out the x intercept. Move the n to the right and subtract 4 from both sides, and then solve the numbers on the left. (-3/2)-6 =9 and then 9-4=5 so the y intercept you get is five. then the new eqaution you shoud have is (-3/2)x-5=y
b.) well the x values are both positive meaning that you subtract so there is a distance of 2 units between then and the y values have a negative number and a positive number meaning you add so there is a distance of 5. The slope should be rise over run so the slope is 5/2 and then you can plug in a value of x to find the y intercept. lets use (6,-3) so
(5/2)6+n=-3. isolate the variable and tadaa you get a y intercept of -18. so the equation for the second one is (5/2)x-18=y
Calculate the rise and run to find the she slope a line
Answer:
slope = 3
Step-by-step explanation:
rise/run = 6/2 = 3
what is the domain and range of this graph ?
Answer:
Domain: [-3, 2]
Range: [-3, 3]
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
Range is the set of y-values that are outputted by function f(x).
We see that our x-values span from -3 to 2. Since they are both closed dots, they are included in the domain:
[-3, 2] or -3 ≤ x ≤ 2
We see that our y-values span form -3 to 3. Since they are both closed dots, they are included in the range:
[-3, 3] or -3 ≤ x ≤ 3
Write the equation of the line fully simplified slope-intercept form.
Answer:
The equation of the line in slope-intercept form is y = -x + 6
Step-by-step explanation:
The form of the slope-intercept form of the linear equation is
y = m x + b, where
m is the slope of the lineb is the y-interceptThe rule of the slope is [tex]m=\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the lineLet us choose two points on the line to form the equation
∵ Points (6, 0) and (0, 6) lie on the line
∴ x1 = 6 and y1 = 0
∴ x2 = 0 and y2 = 6
→ Substitute them in the rule of the slope to find it
∵ [tex]m=\frac{6-0}{0-6}=\frac{6}{-6}=-1[/tex]
∴ m = -1
→ Substitute it in the form of the equation above
∵ y = -1(x) + b
∴ y = -x + b
∵ b is the y-intercept
∵ The y-intercept is the value of y at x = 0
∵ At x = 0, y = 6
∴ b = 6
→ Substitute the value of b in the equation
∵ y = -x + 6
∴ The equation of the line in slope-intercept form is y = -x + 6
The three sides of a triangle are represented by 6x – 1, 5x + 16, and 3x + 40. Express the perimeter, in terms of x.
Answer-
Step by step explanation:
We know that perimeter of a triangle is equal to sum of the sides of a triangle.
So, we need to add the sides,
(6x - 1) + (5x + 16) + (3x + 40) = Perimeter of triangle
6x - 1 + 5x + 16 + 3x + 40
14x + 55
Hence, 14x + 55 is the perimeter of triangle.Please help me with this question
1. There were 3 towns on the mountain. The population of Hazelhurst was
4248. The population of Baxley was 3584. The population of Jesup was
9418. What was the average population of the 3 towns on the mountain?
Answer:
5750
Step-by-step explanation:
add the 3 populations together, divide by the number of populations (3)
A craft store has 5 yards and 2 inches of ribbon. The cost of the ribbon is calculated per inch. How many inches of
ribbon does the craft store have?
Answer:
182
Step-by-step explanation:
5 yards = 5*3 = 15 feet
15 feet = 15 * 12 = 180 inches.
There are 2 more inches in the ribbon. 180 + 2 = 182 inches.
Please help will give a lot of points on this
Answer:
Step-by-step explanation:
x =121.42
Answer:
x = 82.35
Step-by-step explanation:
42/51 = x/100
cross multiply, then you get
42*100 = 51*x
4200/51 = 51x/51
x = 82.35
25% of students on a field trip wear glasses. If 40 students are on the trip how many do not wear glasses?
Answer:
30
Step-by-step explanation:
Answer: 30 students
Haddasah and Devon went shopping together. Haddasah bought 6 oranges and 5 lemons for $5.67. Devon bought 3 oranges and 7 lemons for $4.32. Their purchases can be modeled by a system of equations. A. Write a system of equations that represents this situation. Define the variables.
Answer: Define variables:
x = Cost of orange
y= Cost of lemon
System of equations that represents this situation:
6x+5y = 5.67
3x+7y = 4.32
Step-by-step explanation:
Let x = Cost of orange
y= Cost of lemon
Cost of both = (Number of oranges) x (Cost of orange) + (Number of lemons) x (Cost of lemon)
As per given,
6x+5y = 5.67
3x+7y = 4.32
Hence, system of equations that represents this situation:
6x+5y = 5.67
3x+7y = 4.32
a rectangular compound has the dimensions 6 m by 10 m a square carpet is laid in the centre of the compound.Thr carpet is 3 m by 3 m. find the part of the compound that is uncovered by the carpet
Answer:
the uncovered part is 3 by 7
Help ASAP please and thank you
Answer:
I'm pretty sure its 18!
Step-by-step explanation:
Negative times Negative is a positive.
2×9 is 18 so that's the answer!
Answer:
18
Step-by-step explanation:
-2 x -9 = -2(-9)
Multiplying two negatives equals a positive
and 2 x 9 equals 18.
(-) x (-) = (+)
Sorry if it doesn't make sense.
Please answer these questions.... please..
(19+2) exponent of 0 ????
Answer: 20
.....................
simplify the expressions
1.) 6(–2y) – 9 + 4(–2y + 6)
2.) 5(b – 4) + 12
Step-by-step explanation:
1) -12y -9 -8y +24= -20y +15
2) 5b -20 +12= 5b-8
Answer:
1. -20y-3. 2. 5b-8
Step-by-step explanation:
1. -12y-9-8y+6
-20y-3
2. 5b-20+12
5b-8
Pleaseeee helppppp!!!!
5/6x + 7 = 17 (step by step pls)
5/6x + 7 = 17
Subtract 7 from both sides:
5/6x = 10
Divide both sides by 5/6:
X = 10/ 5/6
When dividing a number by a fraction flip
The fraction over and multiply:
X = 10 x 6/5
Simplify
X = (10x6)/5
X = 60/5
X = 12
The answer is x = 12
Answer:
[tex]\boxed {x = 12}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]\frac{5}{6}x + 7 = 17[/tex]
-Subtract both sides by [tex]7[/tex]:
[tex]\frac{5}{6}x + 7 - 7 = 17 - 7[/tex]
[tex]\frac{5}{6}x = 10[/tex]
-Multiply both sides by [tex]\frac{6}{5}[/tex], which is the reciprocal of [tex]\frac{5}{6}[/tex]:
[tex]x = 10 \times (\frac{6}{5})[/tex]
[tex]x = \frac{10 \times 6}{5}[/tex]
[tex]x = \frac{60}{5}[/tex]
-Divide [tex]60[/tex] by [tex]5[/tex]:
[tex]x = \frac{60}{5}[/tex]
[tex]\boxed {x = 12}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]12[/tex].
What is 35/80 in lowest terms
Answer:
7/16
Step-by-step explanation:
Divide each side by 5
Rose bought some spinach she used 3/5 of the spinach on a pan of spinach pie for a party and 3/4 of the remaining spinach for a pan for her family she used the rest to make a salad. If rose used 3 pounds of spinach to make the pan of spinach pie for the party how many pounds of spinach did rose use to make the saled
Answer:
Total pounds of spinach = 5 pounds
Pounds used for salad = 0.5 pounds
Step-by-step explanation:
Let
Total spinach = x
She used pan of spinach pie for a party = 3/5x
Remaining spinach = x - 3/5x
= 5x-3x/5
= 2/5x
She used 3/4 of the remaining spinach for a pan for her family
3/4 of 2/5x
= 3/4 × 2/5x
= 6/20x
= 3/10x
she used the rest to make a salad.
Salad = x - (3/5)x - (3/10)x
= (1 - 3/5 - 3/10)x
= (10-6-3/10)x
= 1/10x
If rose used 3 pounds of spinach to make the pan of spinach pie for the party how many pounds of spinach did rose use to make the saled
She used pan of spinach pie for a party = 3/5x
3/5x = 3 pounds
Divide both sides by 3/5
x = 3 ÷ 3/5
= 3 × 5/3
x = 5 pounds
Salad = 1/10x
= 1/10 * 5
= 5/10
= 0.5 pounds
34 23.32
What is the simplified expression for
2.
?
24.3-13
32
32.
22
032
열
2
024
력
3
Step-by-step explanation:
the answer is 3/2
always remember when multiplying numbers of the same base the exponents will always be added and when dividing numbers of the same base the exponents will be minused.
Which two expressions are equivalent?
a.) 2a and 9/3 (a)
b.) 5a and 3(2a)
c.) 4a - 2a and a+a
d.). 4a - a and 1+1+1+a
Answer:
C) 4a-2a=a+a
Step-by-step explanation:
4a-2a=2a
2a=a+a
2a=2a
answer:
option c is correct!
explanation:
hope this helped! <3 i answered your question & hope you have a great day! if you wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)
I need help please. How do I find the value of x?
2x + 3y = 7
2x = 4y - 5
Answer:
Step-by-step explanation:
3. In particular, the set of solutions to 2x - 3y = 7 is a straight line. (This is why it's called a linear equation.)
If a translation maps
Answer:
A. angle I = angle K
Step-by-step explanation:
The graph of line is shown below. Yes
y
(-2,9) 81
6
41
21
(6.1)
X
4-2
2
4
6
8
Nol
-4
-61
-
What is the slope of line i?
Answer:
where is the graph??
Step-by-step explanation:
5 (4 - 3 over3)
helppppppppppppp
Answer:
25
Step-by-step explanation:
3 over 3 = 1
5 x (4-1)
5 x 4 = 20
5 x 1 = 5
20 + 5 = 25