Answer:
45 degrees
Step-by-step explanation:
Think of it like this the sum of the angles in a triangle are the always the same 180 degrees.
So now, we do 180 - 90 = 90 this is the sum of the other angles.
We shall assume that they are the same and divide 90/2 = 45 degrees each
Ok here are some things to understand while solving!
- If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
- If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
- If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
- If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
- If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.
- Without knowing at least one side, we can't be sure if two triangles are congruent. (which we do!)
Hope this helped!
Study hard!
Answer:
Our maximum is 19 when x=3 and y=7 and our minimum is -21 when x=3 and y = -3
Step-by-step explanation:
First, we can graph these inequalities out. As you can see in the picture, the three vertices where the inequalities all connect form a triangle. We can check each of these vertices to find our minimum and maximum.
First, we have (3,7). 4y-3x = 4(7)-3(3)=28-9=19
Next, for (3, -3), we have 4y-3x = 4(-3)-3(3) = -12-9=-21
Finally, for (0.5, 2), we have 4y-3x=4(2)-3(0.5)=8-1.5 = 6.5
Our maximum is 19 when x=3 and y=7 and our minimum is -21 when x=3 and y = -3
26.17 is twenty-six and seventeen hundredths.
Answer:
4
Step-by-step explanation:
3 + 4(2x - 1) = 23
4(2x - 1) = 20
8x - 4 = 20
8x = 24
x = 3
---------
2(3) - 2
6 - 2
4
This question is nasty. It sounds like you should be finding area of the figure you see. I'll do that first, although I don't think it's the right answer. (But it might be).
Area Trapezoid = (b1 + b2) * h / 2
b1 = 8
b2 = 12
h = 5
Area Trapezoid = (8 + 12 ) * 5 / 2
Area Trapezoid = 20 * 5/2
Area = 50 square feet.
The problem is that no lumber yard will cut that for you without charging you. The practical answer is 12 * 5 = 60 square feet is what you will have to buy. Then you cut out the triangles for yourself.
