Answer:
The measure of angle E is 45 degrees
Step-by-step explanation:
To get the measure if angle E, we use the appropriate trigonometric ratio
From the question, EF is the hypotenuse since it faces the right angle
EG is adjacent to angle E
so we are going to use the trigonometric ratio that connects adjacent to the hypotenuse
This trigonometric ratio is the cosine
It is the ratio of the adjacent to the hypotenuse
Thus,
we have it that;
Cos E = EG/EF
cos E = 6√26/12√13
E = arc Cos ( 6 √26/12 √13)
E = 45 degrees
Answer:
= 3.5 miles per hour
Showing Work
This is a fraction equal to
7 miles ÷ 2 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2
7 miles ÷ 2
2 hours ÷ 2
=
3.5 miles
1 hour
=
3.5 miles
hour
= 3.5 miles per hour
We can use the vertical angle theorem which states that any two opposite angles are congruent. So, you can just set the two measures equal to each other and solve for x:
So, your answer is
20°.
The value of the given expression after addition is 199 and this can not written as a mixed number in the simplest form.
According to the question,
We have the following expression:
212+(-13)
Now, we know that the multiplication of one negative and one positive integers is always positive.
So, we have the following expression:
212-13
199
Now, this number is whole number and it can not be written as a mixed number. It could only have been written as a mixed number when the result would have been in a fraction.
Hence, the value of the given expression after addition is 199 and this can not written as a mixed number in the simplest form.
To know more about addition here
brainly.com/question/19867930
#SPJ1
Answer: x=-3
Step-by-step explanation:
First you add 3x+5x cause they are both variables.They equal 8x.
Then you subtract 7x from both sides to get x+17=10
then you subtract 17 from both sides.
you will get x= -3
Hope that helps!
