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3 years ago

In the figure below determine the midpoints

Mathematics

1 answer:

Digiron [165]3 years ago

3 0

Midpoints are points in the middle, so I believe they are Midpoints: D, F and E

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This is my question

Talja [164]

Answer/Step-by-step explanation:

∆ABC is similar to ∆CDE. Therefore, the ratio of their corresponding sides are proportional.

This,

$\frac{DE}{AB} = \frac{DC}{AC}$

$\frac{4}{3} = \frac{x + 3}{x + 1}$

Solve for x

$4(x + 1) = 3(x + 3)$

$4x + 4 = 3x + 9$

$4x + 4 - 4 = 3x + 9 - 4$

$4x = 3x + 5$

$4x - 3x = 3x + 5 - 3x$

$x = 5$

Use the value of x to find AC and DC

$AC = x + 1 = 5 + 1 = 6$

$DC = x + 3 = 5 + 3 = 8$

4 0

3 years ago

What is the surface area of the solid?

Paha777 [63]

Answer:

D. 28 square centimeters

Step-by-step explanation:

The surface area of the prism is the sum of the base areas and the lateral area. Here, the base is an odd shape, so it must be decomposed into shapes we can find the area of.

The base of this prism is the L-shaped face nearest the observer. It can be decomposed into a 1 cm square atop a 1 cm by 3 cm rectangle. The area of the face is the sum of the areas of these parts.

square area = s² . . . . where s is the side length

= (1 cm)² = 1 cm²

rectangle area = bh . . . . b is the base, h is the height

= (3 cm)(1 cm) = 3 cm²

Then the area of the one prism base we see is ...

base area = 1 cm² +3 cm² = 4 cm²

The total area of both L-shaped bases of the prism is ...

total base area = 2(4 cm²) = 8 cm²

<h3>lateral area</h3>

The perimeter of the base is the sum of the lengths of its edges. Working clockwise from the lower left corner, we find the base perimeter to be ...

(1 +2 +1 +1 +2 +3) cm = 10 cm

The lateral area is the product of the "height" of the prism (the distance between the parallel bases) and this perimeter length.

LA = Ph

LA = (10 cm)(2 cm) = 20 cm²

<h3>solid area</h3>

The surface area of the solid is the sum of the areas of the bases and the lateral area:

total surface area = total base area + LA

= (8 cm²) +(20 cm²) = 28 cm²

The surface area of the solid is 28 square centimeters.

3 0

2 years ago

Read 2 more answers

HELP!!! TIMED ASSIGNMENT!!!!! PLEASE HELP

eduard

Answer:

see below

Step-by-step explanation:

The first part of the function, f(x) = -2x (for x < -1), is only graphed correctly in the first and third graphs.

The second part of the function, f(x) = -1 (for -1 ≤ x < 2) is only graphed correctly in the first graph, which also correctly graphs the third part of the function,

The appropriate choice is the first graph.