Answer:
94.5yd³
Step-by-step explanation:
volume = length × width × height
length = 7 yd , width = 4.5 yd and height = 3 yd
so volume = 7 × 4.5 × 3 = 94.5yd³
Answer:
ΔABD ≅ ΔACD by SAS, therefore;
by CPCTC
Step-by-step explanation:
The two column proof is presented as follows;
Statement
Reason
ABCD is a trapezoid
Given
Given
Definition of a trapezoid
ABCD is an isosceles trapezoid
Left and right leg are equal
∠BAD ≅ ∠CDA
Base angle of an isosceles trapezoid are congruent
Reflexive property
ΔABD ≅ ΔACD
By SAS rule of congruency
CPCTC
CPCTC; Congruent Parts of Congruent Triangles are Congruent
SAS; Side Angle Side rule of congruency
Answer:
36 °
Step-by-step explanation:
In this case a rectangular triangle is formed so we can use the trigonometric functions to calculate the angle, they give us the value of the two legs, therefore we can apply the tangent function.
Tan A ° = opposite / adjacent
replacing:
Tan A ° = 50/68
Tan A ° = 0.735
A ° = arc tan (0.735)
A ° = 36.32
Which means that the angle of inclination is 36°
Answer:
slope = 5
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 3 = 5(x - 4) ← is in point- slope form
with slope m = 5
Answer:
Step-by-step explanation:
move constant to the right and change the sign
X=12-8
X=4