3. A jewelry store buys small boxes in which to wrap the items that it sells. The diagram below shows one of the boxes. The diag
ram is not drawn to scale.
What are the lateral area and the surface area of the box to the nearest whole number? Use the large 15cm x 6cm rectangles on the top and bottom as the bases.
A) 47 cm² ; 275 cm²
B) 95 cm² ; 365 cm²
C) 47 cm² ; 365 cm²
D) 95 cm² ; 275 cm²
What are the lateral area and the surface area of the box to the nearest whole number? Use the large 15cm x 6cm rectangles on the top and bottom as the bases.
A) 47 cm² ; 275 cm²
B) 95 cm² ; 365 cm²
C) 47 cm² ; 365 cm²
D) 95 cm² ; 275 cm²
1 answer:
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The value of x is 27°.
Solution:
Given .
∠A = 3x – 10, ∠C = 45°, ∠D = 2x + 10
<em>If two triangles are congruent, then the angles are congruent.</em>
∠A = ∠E (Alternate interior angles)
∠C = ∠C (Reflexive property)
∠B = ∠D (Alternative interior angles)
⇒ ∠B = 2x + 10
<em>Sum of the interior angles of the triangle = 180°</em>
In ΔACB,
3x – 10 + 45° + 2x + 10 = 180°
5x + 45° = 180°
Subtract 45° on both sides of the equation.
5x = 135°
Divide by 5 on both sides of the equation.
x = 27°
The value of x is 27°.
Based on the calculations on this parallelogram, the correct equations are:
- n = 10
- CF = 59
- FE = 42
Based on the image of the parallelogram shown in the image attached below, we can logically deduce that the opposite sides of this parallelogram are all equal. Thus, we have:
Side DE = Side CF
6n - 1 = 5n + 9
6n - 5n = 9 + 1
n = 10.
From Side CF, we have:
CF = 5n + 9
CF = 5(10) + 9
CF = 59.
For the measure of side FE, we have
FE = 4n + 2
FE = 4(10) + 2
FE = 42.
Read more on parallelogram here: brainly.com/question/16743544
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Complete Question:
Figure CDEF is a parallelogram.
Parallelogram C D E F is shown. The length of F C is 6 n minus 1, the length of C D is 4 n + 2, and the length of D E is 5 n + 9.
Which equations are correct? Select three options.
n = 10
n = 7
CF = 59
FE = 42
CD = 30
