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2 years ago

How many times larger is 4 x 1013 than 4 x 106? A 1 x 106 B) 1 x 107 C) 4 x 106 D) 4 x 107

Mathematics

2 answers:

densk [106]2 years ago

7 0

The correct answer is B

Mice21 [21]2 years ago

5 0

The answer to your question is A.

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sveta [45]

Answer:

D: I and IV only.

Step-by-step explanation:

We can go through each statement and examine its validity.

I) All congruent triangles are similar.

For congruent triangles, all of its corresponding sides and angles are congruent.

Since all angles are congruent, this fulfills the AA Similarity criterion. Thus, I is true.

II) All similar triangles are congruent.

Congruence guarantees similarity, but similarity does not guarantee congruence.

Two triangles need only two congruent angles to guarantee similarity, while two congruent angles does guarantee congruence. II is false.

III) All right triangles are similar.

Triangles are similar through the AA criterion. One angle of a right triangle must be 90, so this leaves 90 for the two remaining angles. Since these two angles can be anything that sum to 90, we are not guaranteed similarity. For example, 20 - 70 - 90 and 30 - 60 - 90 triangles. They are both right triangles, but are not similar. III is false.

IV) All isosceles right triangles are similar.

Again, since we have a right triangle, one angle is 90, which leaves two remaining angles that must sum to 90.

However, since it is isosceles, the two remaining angles must measure the same. Only one solution exists then: both angles must be 45.

Since all angles must be 45 - 45 - 90, it fulfills the AA Criterion. Thus, all isosceles right triangles are similar. IV is true.

The correct statements are I and IV.

3 0

3 years ago

An object has a mass of 12kg. On planet A the object weighs 69N. The force of gravity on planet a is:

astraxan [27]

w = mg

w/m = g

69N / 12kg = 5.75 N/kg

<u>Answer: B) 5.75 m/s2</u>

8 0

3 years ago

A rectangular prism has a volume of 60 cubic centimeters. The height of the prism is 3 centimeters. What is the area of the base

Step2247 [10]

Answer:

Area = 20 square centimeters

Step-by-step explanation:

V = lwh

V = lw3

V = 4x5x3

V = 60

A = lw

A = 4x5

A = 20

5 0

2 years ago

In the diagram shown of circle A, tangent MB is drawn along with chords BAC and BF . Secant MFE intersects BAC at G. It is known

mote1985 [20]

Answer:

arc BF = 76°
∠M = 31°
∠BGE = 121°
∠MFB = 111°

Step-by-step explanation:

(a) ∠FBM is the complement of ∠FBC, so is ...

∠FBM = 90° -52° = 38°

The measure of arc BF is twice this angle, so is ...

arc BF = 2∠FBM = 2(38°)

arc BF = 76°

(b) ∠M is half the difference between the measures of arcs BE and BF, so is ...

∠M = (1/2)(138° -76°) = 62°/2

∠M = 31°

(c) arc FC is the supplement to arc BF, so has measure ...

arc FC = 180° -arc BF = 180° -76° = 104°

∠BGE is half the sum of arcs BE and FC, so is ...

∠BGE = (1/2)(arc BE +arc FC) = (138° +104°)/2

∠BGE = 121°

(d) ∠MFB is the remaining angle in ∆MFB, so has measure ...

∠MFB = 180° -∠M -∠FBM = 180° -31° -38°

∠MFB = 111°

3 0

3 years ago

Y=-3x + 4

serg [7]

Use substitution
Set them equal to each other
-3x + 4 = 3x - 2
Solve the equation
4 = 6x - 2
6x = 6, x = 1
Plug in 1 for any equation to find y
Y = -3(1) + 4
Y = -3 + 4, y = 1
Solution: x = 1, y = 1

6 0

3 years ago