Find the missing measures of the following rectangle
1 answer:
Answer:
see explanation
Step-by-step explanation:
In a rectangle
• All angles are right angles
• the diagonals are congruent
In Δ WXV the sum of the 3 angles = 180°
∠ WXZ = ∠ XWY = =
= 58°
∠ YXZ = 90° - 58° = 32°
∠ WVZ = 180° - 64° = 116° ( adjacent angles are supplementary )
∠ XWZ = 90° ( by definition of rectangle )
∠ XZY = ∠ WXZ = 58° ( corresponding angles )
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Answer:
(B) Talia is correct. The lateral area can be found by approximating one large triangle, which can be found using the expression 4 (one-half (8) (6.9))
Step-by-step explanation:
Base of the Pyramid = 8 Inches
Height of the Triangular Face = 6.9 Inches
In any solid shape, the Lateral surface area is the sum of all sides except its top and bottom bases.
Since the four triangles are congruent:
Lateral Surface Area = 4 X Area of One Triangle
Area of a Triangle =
Area of one Triangular Face
Therefore:
Lateral Surface Area
Therefore, Talia is correct.
Answer:
Bianca's height = 42 inches
Step-by-step explanation:
Let x be the Bianca height.
Given:
Meredith height = 60 inches
We need to find the Bianca height.
Solution:
From the given statement the Meredith's height is of Bianca's height plus 32 inches, so the equation is.
Meredith's height =
Substitute Meredith's height in above equation.
Now we solve the above equation for x.
By cross multiplication.
28 divided by 2.
Therefore, the height of the Bianca is 42 inches.