Answer:
76°
Step-by-step explanation:
Use the Exterior Angle Property. The Exterior Angle Property states that an exterior angle of a triangle is equal to the sum of it's two opposite non adjacent interior angles.
In this case, set the exterior angle equal to the sum of the two given interior angle measurements:
(c) + (c - 26) = c + 50
First, simplify, combine like terms. Like terms are terms that share the same amount of the same variable:
c + c - 26 = c + 50
(2c) - 26 = c + 50
Next, isolate the variable, c. Note the equal sign, what you do to one side, you do to the other. Subtract c and add 26 to both sides of the equation:
2c (-c) - 26 (+26) = c (-c) + 50 (+26)
2c - c = 50 + 26
c = 76
76° is your answer.
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Learn more about the Exterior Angle Theorem, here:
https://brainly.com/question/956912
Answer:
c = 76 degrees
Step-by-step explanation:
Jackson bought a pair of sunglasses online for $29. He used a coupon code to get a 40% discount. The website also applied a 5% processing fee to the price after the discount. How much was the discount, in dollars and cents?
Answer:
$18.27 is the answer
40% off $29 is $17.40 and after adding the 5% fee it adds 87 cents
Step-by-step explanation:
Please help asap! Also explain how you did it... Tys m!♡♡
Answer:
A" (-3, 0)
B" (9, 9)
C" (9, 0)
Step-by-step explanation:
The hint explains how to get the final coordinates.
The original figure ABC has vertices
A (-3, -1)
B (1, 2)
C (1, -1)
There are two separate transformations for this triangle, so let's take it one step at a time
The first transformation is a translation by the vector <2, 1>, This means we get a new figure A'B'C' where we add 2 to each of the x coordinates of the original figure and 1 to the y coordinates of the original figure
For A which is (-3,-1) the transformed coordinate becomes:
A -> A' -> A' (-3 + 2, -1 + 1) => A'(-1, 0)
Similarly
B(1, 2) -> B' is B'(1 + 2, 2 + 1) => B'(3, 3)
C(1, -1) -> C'(1 + 2, -1 + 1) or C'(3, 0)
So the first transformation results in a triangle A'B'C' with the following coordinates:
A'(-1, 0)
B'(3, 3)
C'(3, 0)
The second transformation is a dilation of A'B'C' which results in an expansion or compression of the image depending on the scale factor. Here the scale factor is 3 so the image is expanded by a factor of 3
Dilation simply requires you to multiply both x and y coordinates oof A'B'C' by 3
A' (-2 , 0) -> A"(-1 x 3, 0 x 3) => A"(-3, 0)
B'(3, 3) -> B"(9, 9)
C'(3, 0) -> C"(9, 0)
I have attached two images showing each of the transformations separately to give you a better idea