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3 years ago

Solve for x. 4.2x + 0.8x = 5*

Mathematics

1 answer:

Andrei [34K]3 years ago

6 0

Answer:

x=1

Step-by-step explanation:

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If the perpendicular bisector of one side of a triangle goes through the opposite vertex, then is the triangle isosceles?

Ne4ueva [31]

Answer:

True

Step-by-step explanation:

The perpendicular bisector of the opposite side to the vertex bisects the angle at the vertex into two equal parts and also bisects the triangle into two equal parts.

Let A be the angle at the vertex, then assume that the angle is an isosceles triangle with base angles B.

We need to show that A = 180 - 2B for an isoceles triangle

The perpendicular bisector bisects A into two so the new angle in the vertex one half of the bisected triangle is A/2.

Since this half triangle is a right-angled triangle, the third angle in it is 90.

So, A/2 + B + 90 = 180 (Sum of angles in a triangle)

subtracting 90 from both sides, we have

A/2 + B + 90 - 90 = 180 - 90

A/2 + B = 90

subtracting B from both sides, we have

A/2 + B = 90

A/2 = 90 - B

multiplying through by 2, we have

A = 2(90 - B)

A = 180 - 2B

Since A = 180 - 2B, then our triangle is an isosceles triangle.

7 0

3 years ago

Tony collected data on years of employment and the annual salaries of the sales people at Company Z. He made a scatter plot and

devlian [24]

Can you send a picture?

7 0

3 years ago

Suppose that you earned a bachelor's degree and now you're teaching high school. The school district offers teachers the oppor

harkovskaia [24]

Answer:

A ) The Amount which will be saved after five years is $ 5742.4

B ) The compound Interest is $ 1742.4

Step-by-step explanation:

The Principal deposited at the end of each year = $ 4000

The rate of interest = 7.5 % compounded annually

The time period = 5 years

From compounded method :

Amount = principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

or, Amount = $ 4000 × $(1+\dfrac{\textrm 7.5}{100})^{\textrm 5}$

Or, Amount = $ 4000 × $(1.0075)^{5}$

or, Amount = $ 4000 × 1.4356

∴ Amount = $ 5742.4

A ) The Amount which will be saved after five years is $ 5742.4

B ) The compound Interest = Amount - principal

Or, C I = $ 5742.4 - $ 4000 is $ 1742.4 Answer

8 0

3 years ago

There a video game for $4 there a discount for 20 percent off whats the sale price

siniylev [52]

Original price is 5$
<span>

Sale / Discounted Price: is 3.2
</span>
the sale price is 3.2$

3 0

3 years ago

Read 2 more answers

.<br> Which could be a value for n?

snow_lady [41]

Answer:

A. $-\frac{1}{2}$

Step-by-step explanation:

Each mark represent 0.1 unit, so if you count from 0 to $n$ you get 0.5 that is exactly the same that $-\frac{1}{2}$ (for convention the left of the 0 is taken as negative and the right as positive).

7 0

2 years ago