Find the equation of the line that is the perpendicular bisector of the segment that has the end points (-2,4) and (8,10)

Which ratios are equal to 64 when the scale factor is 8? Select all that apply.

Luden [163]

Answer:

The scaled surface area of a square pyramid to the original surface area.

The scaled area of a triangle to the original area.

Step-by-step explanation:

Suppose that we have a cube with sidelength M.

if we rescale this measure with a scale factor 8, we get 8*M

Now, if previously the area of one side was of order M^2, with the rescaled measure the area will be something like (8*M)^2 = 64*M^2

This means that the ratio of the surfaces/areas will be 64.

(and will be the same for a pyramid, a rectangle, etc)

Then the correct options will be the ones related to surfaces, that are:

The scaled surface area of a square pyramid to the original surface area.

The scaled area of a triangle to the original area.

5 0

3 years ago

In triangle ABC, angle A is 75o and angle B is 20o. Select the triangle that is similar to triangle ABC.

Arturiano [62]

Answer:

A. $\triangle$ DEF where $\angle D = 75^{\circ}$ and $\angle E = 20^{\circ}$ .

Step-by-step explanation:

At first we must keep in mind that two triangles are similar when they have same angle configuration, that is, each pair of angles is congruent. If $\triangle$ ABC and $\triangle$ DEF, then $\angle A \equiv \angle D$ and $\angle B \equiv \angle E$ . Hence, $\angle D = 75^{\circ}$ and $\angle E = 20^{\circ}$ .

In a nutshell, correct answer is A.

4 0

3 years ago

What is the solution for this inequality? -10x ≤ 40 A. x ≤ -4 B. x ≤ 4 C. x ≥ -4 D. x ≥ 4

inessss [21]

Answer:

C. x ≥ -4

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

-10x ≤ 40

Step 2: Solve for x

[Division Property of Equality] Divide -10 on both sides: x ≥ -4

6 0

2 years ago

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What is the sum of the first 6 terms of this geometric sequence? –4, –16, –64, –256, …

MatroZZZ [7]

$a_1=-4;\ a_2=-16;\ a_3=-64;\ a_4=-256;\ ...\\\\r=\dfrac{a_{n+1}}{a_n}\to r=\dfrac{a_2}{a_1}\to r=\dfrac{-16}{-4}=4$

The formula of the sum of a geometric sequence:

$S_n=a_1\cdot\dfrac{1-r^n}{1-r}$

We have:

$a_1=-4;\ n=6;\ r=4$

substitute:

$S_6=-4\cdot\dfrac{1-4^6}{1-4}=-4\cdot\dfrac{1-4096}{-3}=-4\cdot\dfrac{-4095}{-3}=-4\cdot1365=-5460$

Answer: C. -5460

6 0

3 years ago

David is performing the following construction. Based on the markings that are present, what construction is he performing?

lora16 [44]

Answer:

He is bisecting the angle BAC.

Step-by-step explanation:

First he puts the compass point at point A and draws 2 small arcs at D and E. Then he places the compass point at D and then at E to form the 2 arcs that cross between the 2 line segments AB and AC.

The bisector is the line he can draw between A and the crossed arcs.

8 0

3 years ago

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