Answer:
m<F = 79 degrees
Step-by-step explanation:
As per the given information;
m<E = 22, the triangle EDF (the one that is given in the picture) is isosceles (meaning that the sides are congruent).
In an isosceles triangle, (a triangle where the sides are congruent) the base angles (the angles opposite to the two congruent sides) are also congruent. One should also know, that in an isosceles triangle, like in any triangle, the sum of the measures of the angles equals 180 degrees.
Using this we can say that
m<D = m<F
To keep it simple while solving the problem, let's say that they have a value of x degrees.
So,
m<E + m<D + m<F =180
Subsitute
22 + x + x = 180
Simplify and inverse operations
22 + x + x = 180
-22 -22
2x = 158
/2 /2
x = 79
So the measure of <D and <F is 79 degrees.
Answer:
45
Step-by-step explanation:
Every Triangle has 180 degrees.
x + 8x + 3x = 180
12x = 180
x = 180/12
x = 15
Angle K = 3x
K = 3 * 15
K = 45
The next 18 days because your trying to see how many days it is until he does BOTH
Answer:
Step-by-step explanation:
To find your answer you first have to multiply the numbers that aren’t in parentheses and you multiply 2 and 7 and you get 14 then you don’t have to worry about the x because it is a variable so now add -4 +2. but first we have to turn negative into positive so you add -4 + 8
Answer: 2
Step-by-step explanation:
First you have to plug in the value for x which is -18 so then you're equation then get y by itself and solve for y. This becomes
-3(-18) -y = 56
54 - y = 56
-54 -54
Y=2
You can check your work by plugging in 18 for x and 2 for y and when you solve the equation your answer should equal 56.