Answer:
#1 is 30 degrees
#2 is obtuse
#3 is "No rhombuses are rectangles"
#4 is D
#5 is A
Step-by-step explanation:
For #1, we have an angle vertical to 120 degrees which includes a right angle, so we make an equation:
90+x=120
x=30
So angle x is 30 degrees aka. Option A
For #2, obtuse angles have the sum of the square of the side lengths that are less than the square of the hypotenuse. In this case, 6^2+4^2<9^2 or 50<81
For #3, rhombuses have two pairs of congruent sides but no right angles while rectangles have two pairs of congruent sides but they also have right angles.
For #4, they are similar because one of the triangles is dialated by a scale factor of 1.5.
For #5, just think of turning the triangle on its other side, aka. option A
Answer:
<u>274 square units</u>
Step-by-step explanation:
<u>Surface Area of the prism</u>
- SA = 2(base x height) + 2(length x height) + 2(base x length)
- SA = 2(bh + lh + bl)
<u>Here</u> :
- b = 4
- h = 5
- l = 13
<u>Solving</u>
- SA = 2(4 x 5 + 13 x 5 + 4 x 13)
- SA = 2(20 + 65 + 52)
- SA = 2(137)
- SA = <u>274 square units</u>
11)
3x = 180
x = 60
12)
6x + 18 = 180
6x = 162
x = 27
Answer:b
6
Step-by-step explanation:
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Answer:
or
Step-by-step explanation:
FOIL
(1/2)h*B1+ (1/2)h*B2=A
subtract the B2 term
(1/2)h*B1 = A- (1/2)h*B2
multiply by 2
h*B1 = 2A - h*B2
divide by h
or
