Brainly for correct answer!!The diagram shows two parallel lines cut by a transversal. One angle measure is shown.
Find the values of A B C D E F and G
Answers
The measure of the angles are a = 54, b = 54, c = 126, d = 54, e = 126, f = 54, and g = 126 degrees.
What are vertically opposite angles?
It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
It is given that:
The diagram shows two parallel lines cut by a transversal.
As we know from the definition of the vertically opposite angles:
b = 54 degrees
a + c = 54 + b (a = c)
2a = 54x2
a = 54 degrees
Since a and g are opposite interior angles, they are congruent, so you proceed with the process as you did for the first and check to see if the angles are acute or obtuse to ensure that the angle measurements are accurate.
Similarly:
b = 54
c = 126
d = 54
e = 126
f = 54
g = 126
Thus, the measure of the angles are a = 54, b = 54, c = 126, d = 54, e = 126, f = 54, and g = 126 degrees.
Learn more about the vertically opposite angles here:
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Answer:
a= 126
b= 54
c= 126
d= 54
e= 126
f= 54
g= 126
Step-by-step explanation:
To find a you would subtract 54 from 180 which would give you 126
Since a and b are another linear pair they would also add up to 180.
Then you move to c which is a linear pair with 54 so it is 126.
Because a and g are alternate interior angles they are congruent and they you continue with the same process for the first and check by seeing if the angles would be obtuse or acute to see if the angle measures would be correct.
Related Questions
Use the Distributive Property to expand -3 (8x - 4).
2. Find the slopebetween the points(-4,-6) and (-2,12) .
John and 4 friends are going out for pizza for lunch. They split one pizza and 5 large drinks. The pizza cost $10.00. After using a $4.00 gift certificate, they spend a total of $13.50. Write an equation to model this situation, and find the cost of one large drink.A. 5d + $10.00 – $4.00 = $13.50; $1.50 B. 4d + $10.00 – $4.00 = $13.50; $1.88 C. 5d + $10.00 – $4.00 = $13.50; $1.70 D. 5d – $10.00 + $4.00 = $13.50; $4.88
Flying against the wind a jet travels 7740 miles in 9 hours. Flying with the wind the same jet travels 4000 80 miles in 3 hours. What is the rate of the jet in still air and what is the rate of the wind?
Answers
First you have to find the probability of a pulling a penny
To find this you put the amount of pennies over the amount of coins
There are 12 coins and 5 pennies
This is a 5/12 probability
Next you have to find the probability of then pulling out a quarter
Since you already took out a coin the total amount is now 11
The probability is 4/11
You multiply the two probabilities together to get the probability of them happening one after antoher
5/12 * 4/11 = 5/33
The answer is D)5/33
Hope this helps!
Answers
Answer:
- (x - 48)² + (y - 24)² = 64
Step-by-step explanation:
From the graph we see that
- The diameter of the circle is: d = 16 mm
- Then its radius is: r = 16 mm/ 2 = 8 mm
- The center has x-coordinate: h = 40 + 8 = 48
- Y-coordinate: k = 32 - 8 = 24
Use circle formula:
- (x - h)² + (y - k)² = r²
Substitute values to get required equation:
- (x - 48)² + (y - 24)² = 8²
- (x - 48)² + (y - 24)² = 64
Answer: (x - 2) ^2 + (y - 6) ^2 = 25
Answers
Answer:
1) 128°
2) 126°
3) 108°
Question one:
The square in the corner means 90°. If you add the interior angles of any triangle together, you get 180. in this case, x is in exterior angle, so you subtract it from 180 to get the interior angle.
38 + 90 + (180-x) = 180
38 + 90 + 180 - x = 180
38 + 90 + 180 - 180 - x = 0
38 + 90 + 180 - 180 = x
128 = x
Question two:
again, adding all the interior angles makes 180°. use this to make the equation.
3x + (5x-6) + 90 = 180
3x + 5x - 6 = 90
8x = 96
x = 12.
x isn't the answer the question wants, however. if you look at the drawing, the angle that's supplementary to 5x-6 is the exterior angle. so,
180 - (5x-6) = the answer
180 - 5x + 6 = the answer
substitute x for 12
180 - 60 + 6 = the answer
126 = x
Question three
again, adding all the interior angles together makes 180°.
(a + 10) + 44 + (180-2a) = 180
a + 10 + 44 + 180 - 2a = 180
-a + 234 = 180
234 - 180 = a
54 = a
however, the question is looking for the exterior angle, not a. in this case, the exterior angle is 2a, so just multiply 54 by 2.
x = 108
Answers
we are given the probability that is 88% of person A speaking the truth. The probability of person B speaking the truth on an occasion that person A also speaks the truth is 43%. This means the probability that person A speaks the truth, but person B lies 0.88*(1-0.43) equal to 0.5016
Answers
Data we are looking for:
x - subscription plan
y - rate per minute
1. Finding the monthly fee (x) + rate per minute (y)
x + 150y = 45.50
x + 100y = 38.00
you have to deduct those equatations (x - x = 0, 150y - 100y = 50y, 45.5 - 38 = 7.5)
- finding rate per minute:
50y = 7.50
5y = 0.75
y = 0.15
- finding monthly fee
x + 150 *0.15 = 45.50
x = 45.50 - 22.50
x = 23.00
Looking at the data above you can see that no matter for how many minutes you use your phone you have to pay 23$. For every minute you spend talking the fee is 0.15$
That is why (z) the total amount you have to pay consist of 23 (subscription) + 0.15y (15c per minute):
z = 23 + 0.15y
Add a comment if sth is not clear
Answer:
Step-by-step explanation:
We can make 2 simultaneous equations and solve for the set fee
and the per minute charge:
Let x = fixed monthly rate
Let m = per minute charge
x + 100m = 135 {equation 1}
x + 500m = 375 {equation 2}
subtract equation 1 from equation 2
400m = 240
m = 0.6
substitute that back into equation 1 or 2 to solve for x.
Using equation 1
x + 100(.6) = 135
x + 60 = 135
x = 75
The fixed monthly rate is $75
The per minute charge is $0.6
*****************************
If y is the total cost for a month and x is the
number of minutes used the equation is:
y = 0.6x + 75
Answers
l = w + 6
V = 280
V = lwh
Plug in what we know:
280 = (w + 6)(w)(7)
Distribute W into the first parenthesis:
280 = (w^2 + 6w)(7)
Distribute 7:
280 = 7w^2 + 42w
Divide 7 to both sides:
40 = w^2 + 6w
Subtract 40 to both sides:
w^2 + 6w - 40 = 0
Factor:
(w - 4)(w + 10) = 0
Therefore, w = 4.
Plug this back into the equation for the length:
l = w + 6
l = 4 + 6
l = 10