Answer:
See below ~
Step-by-step explanation:
<u>Question 1</u>
<u>The missing angles</u>
- Both the unknown angles have the same value as the other two angles in the triangles are the same
- ∠(missing) = 180 - (72 x 2)
- ∠(missing) = 180 - 144
- ∠(missing) = 36°
⇒ The sides are <u>equal</u>
⇒ Angles are <u>not 90°</u>
⇒ It is a <u>rhombus</u>
<u></u>
<u>Question 2</u>
- The <u>diagonals</u> of the shape <u>bisect other</u> (Statement 1)
- NY = NW (given)
- XN = NZ (given)
- ∠XNY = ∠WXZ (vertically opposite angles)
- ΔXNY ≅ ΔWXZ (SAS)
- They form <u>two congruent triangles</u> (Statement 2)
- From these two statements, it is evident the figure is a <u>parallelogram</u>
The area of the trapezoid is 118 squre units
<h3>Area of a trapezoid</h3>
The formula for calculating the area of a trapezoid is expressed as:
- A = 0.5(a+b)h
- a = AD = √20
- b = BC = √80
- height = h = √40
Substitute into the formula
A = 0.5(√1600)*√40
A = 0.5 * 40 * √40
A = 20√40
A = 118 squre units
Hence the area of the trapezoid is 118 squre units
Larn more on area of a trapezoid here: brainly.com/question/1463152
Answer:
Step-by-step explanation:
y = mx + b
slope(m) = 1/4
(-1,-4)...x = -1 and y = -4
now sub and find b, the y intercept
-4 = 1/4(-1) + b
-4 = -1/4 + b
-4 + 1/4 = b
-16/4 + 1/4 = b
-15/4 = b
so the equation in slope intercept form is : y = 1/4x - 15/4
but we need it in general form : Ax + By + C = 0
y = 1/4x - 15/4.....multiply everything by 4 to get rid of fractions
4y = x - 15......subtract x and add 15 ...to both sides
4y - x + 15 = 0 <=== general form
Answer:
70%
Step-by-step explanation:
42 divided by 60 times 100
