The measure of first angle is 34 degrees and measure of second angle is 56 degrees
<em><u>Solution:</u></em>
Given that, the exterior sides of two adjacent angles make a right angle
Therefore, these adjacent angles forms 90 degrees
Let the second angle be "x"
The first angle has a measure that is six more than half the second
Therefore,
first angle = 6 + half of "x"

Since these two angles forms 90 degrees,
first angle + second angle = 90

<em><u>Therefore, first angle is:</u></em>

Thus measure of first angle is 34 degrees and measure of second angle is 56 degrees
Answer:
4 meters
Step-by-step explanation:
Given a quadratic equation in which the coefficient of
is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.
Since the divers height, y is modeled by the equation

Step 1: Determine the equation of symmetry
In the equation above, a=-1, b=2, c=3
Equation of symmetry, 

Step 2: Find the value of y at the point of symmetry
That is, we substitute x obtained above into the y and solve.

The maximum height of the diver is therefore 4 meters.
Answer:
1080cm²
Step-by-step explanation:
surface area=sum of the area of all the shapes
area of triangle=1/2*base*height
1/2*24*10=120*2(because there are two triangles)=240cm²
10*14=140cm²
24*14=336cm²
Area of slanting figure=26*14=364cm²
add all the results
240+140+336+364=1080cm²
Hope this helps :)
So the carpets length is 56in. And the width is 30in.