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Pie
3 years ago
5

Solve -0.4k - 6 = 1.2. Explain your answer.

Mathematics
1 answer:
jeka57 [31]3 years ago
7 0

Answer:

k=-18

Step-by-step explanation:

To solve this, we need to isolate the variable k.

-0.4k-6=1.2

We can add 6 to both sides first.

-0.4k=7.2

Recall that what you do to one side of an equation you have to do to the other side too, so the equation remains equal.

Next, we can divide both sides by -0.4

k=-18

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In the figure above, PQRS is a circle. If PQT and SRT<br>are straight lines, find the value of x.
Elena L [17]

Given:

PQRS is a circle, PQT and SRT  are straight lines.

To find:

The value of x.

Solution:

Since PQRS is a circle, PQT and SRT  are straight lines, therefore, PQRS isa cyclic quadrilateral.

We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.

m\angle SPQ+m\angle QRS=180^\circ

81^\circ+m\angle QRS=180^\circ

m\angle QRS=180^\circ-81^\circ

m\angle QRS=99^\circ

Now, SRT  is a straight line.

m\angle QRT+m\angle QRS=180^\circ             (Linear pair)

m\angle QRT+99^\circ=180^\circ

m\angle QRT=180^\circ-99^\circ

m\angle QRT=81^\circ               ...(i)

According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.

Using exterior angle theorem in triangle QRT, we get

m\angle PQR=m\angle QRT+m\angle QTR

x=81^\circ+22^\circ

x=103^\circ

Therefore, the value of x is 103 degrees.

4 0
3 years ago
What was hitler and german army trying to accomplish? complete sentences for a summary
Shalnov [3]
Hitler and the Nazis were trying to get as much power as possible they were trying to fix the wrong doings (in there opinion) of the previous German leaders the kaisers so this is why over the course of the moment from when Hitler was elected in 1933 he started to build up the army .
MAIN POINT: He aimed to persecute those of gypsy , Jewish and African or black origin and those with disabilities as he wanted to create his aryan race of pure Germans no this isn’t a summary but take the points out of this
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3 years ago
The curved part of this figures is a semicircle.
vovangra [49]

First we join the two endpoints of the semicircle and that will be the diameter.

And to find the length of the diameter, we have to use distance formula, with one endpoint (3,2) and the other is (-4,-2) .

SO we get

Diameter = \sqrt{ {-4-3)^2 +(-2-2)^2 } = \sqrt{49+16} = \sqrt 65

Radius is half of diameter, so the radius is

Radius= \frac{ \sqrt{65}}{2}

Formula of area of circle is

Area = \pi r^2

So the area of semicircle is

=(1/2) \pi ( \frac{ \sqrt{65}}{2})^2 = 8.125 \pi \square \units

And the other figure is a triangle, with

Base = 3-(-4)=3+4=7 \\ height = 2-(-2) = 2+2 =4

Area = (1/2)*4*7= 14 square units

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Correct option is the third option .

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3 years ago
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A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. He writes the numbers 1–10 on e
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Answer:

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2 years ago
2(x-3)-12 = -4<br> How do I solve this equations
deff fn [24]

Answer:

x= 7

Step-by-step explanation:

1st step: Multiply the factor (outside number) with the numbers and variable(s) in the box. This results in 2(x-3) = 2x-6

2nd Step: continue the rest of the equation since there are no more brackets left so 2x-6-12=-4

3rd Step: send -12 to the other side of the equation (side changes sign changes) so it will become 2x-6=-4+12    (You are actually supposed to make the variable alone on one side of the equation so that you would be able to calculate its value)

4th step: 2x-6=8 ---> send -6 to the other side as well which will then result in 2x=14

5th step: since 2 is being multiplied by x, when you send it to the other side (to make x alone) you will divide 14 by 2 ( sign of 2 changes from multiplication to division)

Final Step: x=7

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3 years ago
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