When only angles are specified, the sides can be any length, so the triangle is not unique. In any event, the sum of angles must be 180°, so three angles measuring 50° cannot be closed to form a triangle.
Three sides measuring 4, 8, and 14 ft cannot be closed, either, as the long dimension exceeds the sum of the other two. The ends can't meet.
The appropriate choice is the 3rd one ...
... three sides measuring 5 in, 12 in, and 14 in.
In order to solve this problem, we transform the statements into
algebraic expressions. First, we assign the variables.
Let:
x = Gina’s number
y = Sara’s number
For the first equation, we show that Gina’s number is greater
than Sara’s number by 2. For the second equation, we show that the sum of both
numbers is 68.
<span>(1)
</span>x – y = 2
<span>(2)
</span>x + y = 68
<span>We
add the two expressions, which result in the expression: 2x = 70. Then we
divide 70 by 2 to get the value of x. We then have x = 35. Using the second
equation, we solve for y = 68-35. This gives y = 33. To summarize, Gina’s
number is 35 while Sara’s number is 33.</span>
In the question we are given three lines L,M and N such that:
Line L is perpendicular to M
and line L is parallel to line N
so the option is (C) M is perpendicular N
Step-by-step explanation
We are given three lines L,M and N such that:
- Line L is perpendicular to M
- Line L is parallel to line N
<u>We know that when one line parallel to the second line and is perpendicular to the third line then the second line is also perpendicular to the third line.</u>
<u></u>
So,the answer is (C) M is perpendicular N
Answer:
see below
Step-by-step explanation:
Except for the stretch factor, your work is completely correct. Multiplying only the x-coordinate by a factor of 2 results in a horizontal stretch by that factor.
Your coordinates and graph are correct.
In the comparison, you just need to say what happened.
Answer:
-6
Step-by-step explanation:
This means what value can I plug into -3x-8 so that I get output 10.
g(x)=-3x-8
g(a)=-3a-8
So we are going to solve g(a)=10 for a.
g(a)=10
-3a-8=10
Add 8 on both sides:
-3a =18
Divide both sides by -3:
a =-6
Check it!
g(-6)=-3(-6)-8=18-8=10 and it's good! :)
