Answer:
Firstly, notice the relationship the two triangles have. They have conjoining ends that form vertical angles (looks like a middle x). Vertical angles are equivalent in measure of degrees.
Secondly, notice that the triangle on the right side is a right triangle. One of its angle's measurements are also given; 40 degrees. If you know that the sum of a triangle's angles equal 180 degrees, then simply subtract the known angles measurements from 180.
180-(90+40)= 180-130=50.
Therefore, the vertical angles measurement is equivalent to 50 degrees.
Apply the principle of the sum of all angles in a triangle equivalent to 180 degrees to the left triangle, and you will be able to find the measurement of the "?" angle.
180-(50+25)= 180-75=105
SO HERE IS YOUR ANSWER= 105 degrees is the value of the angle marked with a "?"
I hope you are having a great day too;)!
Answer:
Ram studied for longer time
Step-by-step explanation:
An hour = 60 minutes
Raj studied for 4/7 of an hour
= 4/7 of 60 minutes
= 4/7 × 60
= (4×60)/7
= 240/7
= 24.29 minutes
ram studied for 5/8 of an hour
= 5/8 of 60 minutes
= 5/8 × 60
= (5×60)/8
= 300/8
= 37.5 minutes
who studied for longer time?
Ram - Raj
= 37.5 - 24.29
= 13.21 minutes
Ram studied for longer time
Ram studied 13.21 minutes longer than Raj
Hello!
<u>Number 22
</u>
: We'd plot the first point at 0 since there is no stated y-intercept. Next, we'd use our slope to determine where to plot the next point, and that would create our line. According to the problem, our slope is

, which automatically tells us that the slope would be going downwards because it's negative.
To plot our point, use the slope while going down and across from our y-intercept, which is 0. Go down 1, and over 2.
Your points should be at (0, 0) and (-1, 2)
<u /><u>Number 23:</u> This one will be a bit trickier since the equation is not in slope-intercept form. First, let's convert it to slope-intercept form.

Flip some of those numbers around to get our equation in slope-intercept form:

Now to graph this, we do the same as we did for the last problem. Plot our first point at (0, 2), since 2 is our y-intercept. Afterwards, go up 2 and over 3, then plot the other point.
Your points should be at (0, 2) and (4, 3)
Answer: 288/18+7x5
Step-by-step explanation: