Answers
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
Related Questions
The three sides of a triangle are represented by 6x – 1, 5x + 16, and 3x + 40. Express the perimeter, in terms of x.
Answers
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.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
Answers
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! :)
simplify the expressions
1.) 6(–2y) – 9 + 4(–2y + 6)
2.) 5(b – 4) + 12
Answers
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
Write the equation of the line fully simplified slope-intercept form.
Answers
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
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
Answers
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
Please help will give a lot of points on this
Answers
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
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.
Answers
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
5 (4 - 3 over3)
helppppppppppppp
Answers
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
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?
Answers
Answer:
where is the graph??
Step-by-step explanation:
If a translation maps
Answers
Answer:
A. angle I = angle K
Step-by-step explanation:
What is 35/80 in lowest terms
Answers
Answer:
7/16
Step-by-step explanation:
Divide each side by 5
Your welcome have a good day
Calculate the rise and run to find the she slope a line
Answers
Answer:
slope = 3
Step-by-step explanation:
rise/run = 6/2 = 3
Help me pleaseeee...
Answers
Answer:
90
Step-by-step explanation:
PVQ = 60 an RVS = 30, 60 + 30 = 90
Please answer these questions.... please..
Answers
what is the domain and range of this graph ?
Answers
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
6x- 12 = 36 2 step equation a little help please
Answers
Answer:x=8
Step-by-step explanation:
Help ASAP please and thank you
Answers
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.
25% of students on a field trip wear glasses. If 40 students are on the trip how many do not wear glasses?
Answers
Answer:
30
Step-by-step explanation:
Answer: 30 students
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
Answers
Answer:
the uncovered part is 3 by 7
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?
Answers
Answer:
5750
Step-by-step explanation:
add the 3 populations together, divide by the number of populations (3)
(19+2) exponent of 0 ????
Answers
Answer: 20
.....................
I need help please. How do I find the value of x?
Answers
The angle directly across from the 32 is also 32 degrees because it uses the same lines at the same angles. That's the Vertical Angles Theorem. The line straight across means that is 180 degrees, which is already split in half by the visible 90 degree angle (given by the box in the corner). Since all the angles are on the same side of the line, the 180 degree angle, they should add up to equal 180 degrees. Also, since 90 is half of 180, the 32 degree angle and the x angle should just add up to equal 90 degrees. So, 90 minus 32 equals 58.
Please help me with this question
Answers
Definition of right angles
One fifth of a number is added to one third of the same number. If the sum is 96, find the number
Answers
180. 180 ÷ 5 = 36, and 180 ÷ 3 = 60, and 60 + 36 = 96.
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?
Answers
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.
5/6x + 7 = 17 (step by step pls)
Answers
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].
LOOK AT THE IMAGE ABOVE PLEASE ANSWER I NEED THIS NOW!! PLEASE SHOW FULL WORK PLEASE
Answers
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
34 23.32
What is the simplified expression for
2.
?
24.3-13
32
32.
22
032
열
2
024
력
3
Answers
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.
2x + 3y = 7
2x = 4y - 5
Answers
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.)
Pleaseeee helppppp!!!!