Answers
Given:
A figure in which a transversal line intersect two parallel lines.
[tex]m\angle 2=4x+7, m\angle 7=5x-13, m\angle 5=68[/tex] and [tex]m\angle 3=3y-2[/tex].
To find:
The value of x and y.
Solution:
We know that, if a transversal line intersect two parallel lines, then
(1) Alternate exterior angles are equal.
(2) Same sided interior angles are supplementary. So their sum is 180 degrees.
In the given figure j and k are parallel lines and l is a transversal line.
From the given figure, it is clear that,
[tex]m\angle 2=m\angle 7[/tex] (Alternate exterior angles are equal)
[tex]4x+7=5x-13[/tex]
[tex]7+13=5x-4x[/tex]
[tex]20=x[/tex]
Therefore, the value of x is 20.
Now,
[tex]\angle 3+\angle 5=180[/tex] (Same sided interior angles are supplementary)
[tex]3y-2+68=180[/tex]
[tex]3y+66=180[/tex]
[tex]3y=180-66[/tex]
[tex]y=\dfrac{180-66}{3}[/tex]
[tex]y=\dfrac{114}{3}[/tex]
[tex]y=38[/tex]
Therefore, the value of y is 38.
Related Questions
What is 340 as a percent?
Answers
Transversal relations
Answers
Answer:
The answer is 75
Step-by-step explanation:
By way of parallelism
[tex]x + 15 = 90 \\ x = 75[/tex]
Simplify
5 + 2(3x − 4) − x
Answers
[tex]5x - 3[/tex]
Step-by-step explanation:
1) Expand by distributing terms.
[tex]5 + 6x - 8 - x[/tex]
2) Collect like terms.
[tex](5 - 8) + (6x - x)[/tex]
3) Simplify.
[tex] - 3 + 5x[/tex]
4) Regroup terms.
[tex]5x - 3[/tex]
Therefor the answer for this equation will be, 5x - 3.
Answer:
5x-3
Step-by-step explanation:
distribute 2 to 3x and -4
then you get 5+6x-8-x
combine like terms
5-8; 6x-x
you get: 5x-3
hopes this helps
Is it possible for an even degree polynomial to have no real zeros?
Answers
Answer:
All polynomial functions of positive, odd order have at least one zero (this follows from the fundamental theorem of algebra), while polynomial functions of positive, even order may not have a zero (for example x4+1 x 4 + 1 has no real zero, although it does have complex ones).
Step-by-step explanation:
If c=10\pic=10π, what does 10 represent?
Answers
Answer:
10 is the dimeter of the circleStep-by-step explanation:
The question seems is:If C = 10π, what does 10 represent?The circumference of a circle formula is:
C = 2πr or C = πd10 in the given equation represents the diameter of the circle, d = 10
(3x−1)+x2−4 when x=3
Answers
Answer:
10
Step-by-step explanation:
(3x-1)+2x-4 turns into
(3x3 -1)+2x3 -4
(9-1)+6-4
8+2
10
Plz help me I need a good person to help plz plz
Answers
Answer:
True
Step-by-step explanation:
Thhe answer to this is true
Consider the function represented by 9x+3y= 12 with x as the independent variable. How can this function be written
using function notation?
flv -v+
f(x) = - 3x + 4
f(x) = - *x+
f(V) = - 3y + 4
Answers
Answer:
b) y = f(x) = -3x+4
Step-by-step explanation:
Explanation
Given that the equation 9x+3y =12
Let 'x' be an independent variable and 'y' be the dependent variable then the function is of the form
y = f(x)
3 y = 12 - 9x
[tex]y = \frac{-9x+12}{3}[/tex]
y = -3x+4
The function represented by y = -3x+4
I WILL GIVE BRAINIEST
Rhiana has a spinner, which is divided into four equal parts. The parts are numbered 1,2,3,4. If rhiana spins the spinner and tosses a coin, which table shows all possible outcomes?
Answers
Answer:
the last one
Step-by-step explanation:
Answer:
last one
Step-by-step explanation:
9.Find the side of a cube whose surface area is 5400cmsquare.
Answers
Answer:
a=square root of a/6 = square root of 5600/6 = 30
i would like to have my brainliest naw, thx
Salim built a rectangular prism with a length of 5 inches, a width of 4 inches, and a height of 3 inches. Would the prism Natalie built with a length of 3 inches, a width of 4 inches, and a height of 5 inches have the same volume or a different volume than Salim’s prism?
Answers
Answer:
same volume
Step-by-step explanation:
5X4X3=60, 3X4X5=60
Tell how many Solutions y= 3x+ 2 y=-4x+5
Answers
Answer:
There are 4 solutions
Step-by-step explanation:
Solve it
i really need helpppp
Answers
Answer:
6
Step-by-step explanation:
30 ÷ 5 =6
hope it helped:))))
Answer:
z = 6
Step-by-step explanation:
5 x 6 = 30 - 17 = 13
WILL GIVE BRAINILEST
The price of ground beef varies directly with the weight of the ground beef purchased. Two pounds of ground beef cost $10.
What is the cost of 3 pounds of ground beef?
Answers
HELP PLEASEE
A baker uses 63 cups of flour and 72 cups of water for a recipe. The flour to water ratio is 63:72 how much water does the baker need if he uses only 7 cups of flour?
Answers
Answer:
8 cups of water
Step-by-step explanation:
63/7=9
72/9=8
Given the 2 equations, solve for x, when the y's are equal.
y=2x+4 y=x+1
Answers
Answer:
x=-3
Step-by-step explanation:
2x+4=x+1
-x -x
x+4=1
-4 -4
x=-3
correct if wrong
Find each slope and y-intercept. Then graph each equation.
Answers
Answer:
1/2= slope
-3= y-intercept
Step-by-step explanation:
According to the formula, y=mx-b:
b= y-interceptm= slopeMr mcnall brought $562 freezer using a credit card that charges 18% annual interest if he does not make any payments or any additional charges how much will he owe after one month
Answers
Respuesta: el deberá $8.43 de interés en un mes.
Explicación paso a paso:
Regla de 3
$562 -- 100%
x --- 18%
x = 101.16
$101.16 es la cantidad de intereses que deberá en un año, pero ¿en un mes?
Para saberlo solo lo dividimos entre la cantidad de meses en un año (12)
101.16 ÷ 12 = 8.43
If 40 crayons cost $1.60, how much would 8 crayons cost?
Answers
Answer:
0.32
Step-by-step explanation:
1.60/4=0.04
0.04*8+=0.32
What's 4 x 90 divided by 3 x 7?
Answers
Answer:
17.14
Step-by-step explanation:
360/21=17.14
Answer:
(4 × 90) ÷ (3 × 7)
= 360 ÷ 21
= 17.14
Suppose you invest $2200 at an annual interest rate of 5.3% compounded continuously. How much will you have in the account after 7 years?
Answers
Step-by-step explanation:
step 1. Let's call the amount of money A.
step 2. A = A¡e^(rt) (continuously compounding equation)
step 3. A = A¡e^(rt). A¡ = initial amount. r = rate, t = time.
step 4. A = 2200e^((.053)(7)
step 5. A = $3188.20
Which system of inequalities does the graph represent? Which test point satisfies both of the inequalities in that system?
The graph represents the system of inequalities .
The test point satisfies both of the inequalities in the system represented by the graph.
Answers
Answer:
Ok so its -3;3
Step-by-step explanation:
Find the length of AD in the diagram shown.
A) 7
B) 7.5
C) 9
D 16.5
Answers
Answer: 16.5
Step-by-step explanation:
The correct answer is given :) , for proof please select the picture in order to understand.
Please help me... with at least 3 or 4.
Answers
3.right angle
4. Right angle
2- obtuse
3- right
4- right
5- equilateral
6- obtuse (?)
7- obtuse
8- equilateral
9- right
10- right
11- obtuse
12- isosceles
Which inequality is represented by the graph?
Answers
Marty's class collected $34.00 in a school-wide penny collection contest. If Tommy's class added $3.00 to the amount they
collected, x, and then multiplied the sum by 2, they would have the same amount of money as Marty's class.
2(x + $3.00)= $34.00
How much money did Tommy's class collect?
Ο Α.
$20.00
OB.
$17.00
O C.
$3.00
OD.
$14.00
Answers
Answer:
the answer that you are looking for is D
Step-by-step explanation:
The Tommy's class collect the amount of 14 dollar.
What is the solution for an equation?The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of that variable would give a true mathematical statement.
We need to find the solutions of the equation 2(x + $3.00)= $34.00 ;
Now solving for x;
2(x + $3.00)= $34.00
Open the bracket;
2x + 6 = 34
Combine the like terms;
2x = 34 - 6
2x = 28
x = 14
Therefore, the equation 2(x + $3.00)= $34.00 has only one solution which is 14.
Learn more about solving equations here:
brainly.com/question/13072448
#SPJ2
Thomas scored 9 points less than Jason in the basketball game. Kevin scored twice as many points as Thomas. If Kevin scored 10 points, how many points did Jason score? \
Answers
Answer:
Jason has 14 points
Step-by-step explanation:
Kevin=10 points/2x thomas points
5x2=10 Correct
Thomas= 5 points
Thomas has 9 less points than Jason \
5+9=14
Jason= 14
3x + 2y = 12
-x + 5y = 13
Solve by elimination
Y and x
Answers
Answer:
x = 2 y = 3
Step-by-step explanation:
The instructions in the kite book state that sin ∠ABC = . Since the two right triangles that make up the kite are congruent, then sin∠CBD = as well. Using the definition of sine, what is AB? Show your work
Answers
Answer:
Exact answer
Step-by-step explanation:
Answer:
Plato
Step-by-step explanation:
sin<ABC= 1/2
AC/AB = 1/2
AC= 60 cm
60/AB= 1/2
AB= 120
What angle relationship best describes angles AFC and DFB?
A) Adjacent angles
B) Complementary angles
C) Linear pairs
D) Vertical angles
Answers
Answer:
Vertical Angles
Step-by-step
I believe this is the case because since the angles intercept in order to form also it's the only answer that has to do with intercepting from what we can see from the diagram.
There are different types of relationships between angles including alternate, corresponding, vertical, adjacent, complementary and supplementary angles
The correct option for the relationship that best describes angles AFC and DFB is option D;
D) Vertical angles
The reason the chosen option is correct is as follows;
The given diagram shows line EF perpendicular to line AB and line CD crosses line AB at point F
Therefore, the angles ∠AFC and ∠DFB formed by lines AB and CD with their orientation in the order of their names are opposite to each other and other are known as vertical angles
Learn more about vertical angles here:
https://brainly.com/question/18292462