Given that the image below is not drawn to
scale, approximately how many times would
triangle DBE fit inside of triangle FBG without
overlapping?
Use the line segment tool to draw and model
each triangle, then the pencil tool to number
the triangles in your diagram.

Given:

The figure of triangle ABC.

To find:

The measure of angle A.

Solution:

From the given figure, we get

[tex]\angle ABC+120^\circ=180^\circ[/tex]                 (Linear pair)

[tex]\angle ABC=180^\circ-120^\circ[/tex]

[tex]\angle ABC=60^\circ[/tex]

According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of two opposite interior angles.

[tex]\angle A+\angle ABC=105^\circ[/tex]          (Exterior angle theorem)

[tex]\angle A+60^\circ=105^\circ[/tex]

[tex]\angle A=105^\circ-60^\circ[/tex]

[tex]\angle A=45^\circ[/tex]

Therefore, the measure of angle A is 45 degrees.

Answer:

the value of x is 2

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Given 3 parallel lines intersected by 2 transversals then the parallel lines divide the transversals proportionally, that is

[tex]\frac{3x}{4}[/tex] = [tex]\frac{7.5}{2.5x}[/tex] ( cross- multiply )

7.5x² = 30 ( divide both sides by 7.5 )

x² = 4 ( take the square root of both sides )

x = [tex]\sqrt{4}[/tex] = 2

Answer:

It's true when x = a positive number.

Step-by-step explanation:

I don't know how to explain this, so here we go.

The definition of absolute value is the distance a number is away from 0.

In other words, all numbers are now positive or 0.

If |-x| = x, it means x would have to be positive because, well, to prove that, we have to see what it couldn't be a negative number

if x was a negative number (-1), this is what we would get

|-(-1)| = -1

|1| = -1

1 = -1

That's not right!

And this happens in any negative number you do.

Because the absolute value of something cannot be negative

I cannot stress that enough

Since it is the absolute value of -x, x has to be positive, if it isn't, then there is no solution for x.

Any number greater than or equal to zero is a possible answer for the absolute value of something, but the absolute value of something cannot be a negative number

I hope this helps, let me know if you have any questions.

Answer:

the slope is 9/10 and the y-intercept is (0,3) I hope it helps

Answer:

12 that's what I think the answer is

Answer:

3 and 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

15y = 45x + 60 ( divide all 3 terms by 15 )

y = 3x + 4 ← in slope- intercept form

with slope m = 3

Given

6y = 12x + 36 ( divide all 3 terms by 6 )

y = 2x + 6 ← in slope- intercept form

with slope m = 2

Step-by-step explanation:

9x+4=15

9x=15-4

9x=11

x=11/9 or 1 2/9

Answer:

Move all terms that don't contain

x

to the right side and solve.

Exact Form:

x=119

Decimal Form:

x=1.¯2

Mixed Number Form:

x=1 2/9

Hope it is helpful....

Ones that have an answer intersect.

Answer:

Error....

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At least 2 equation needed for the solution of two variables

Answer:

a^2 - 25.

Step-by-step explanation:

(5 + a)(-5 + a)

= -25 + 5a - 5a + a^2

= a^2 - 25.

Answer:

3 2/5

Step-by-step explanation:

Answer:

A linear equation is an algebraic equation of the form y=mx+b. Where m is the slope and b is the y-intercept. A linear equation most times is called a "linear equation of two variables," where y and x are the variables.

Step-by-step explanation:

Answer:

x²-4x+7

-x²-6x-12

Step-by-step explanation:

1.) the first thing we do is expand the exponent (or mulitply  (x-2)(x-2) the images below will show you how to do that

We get x²-4x+4 and then just need to add three

x²-4x+7

2.)

We do the same thing (expand the exponent) and get x²+6x+9

which means so far we have

-(x²+6x+9)-3

carry out the negative sign and subtract 3

-x²-6x-12

Answer:

289.38 m^2

Step-by-step explanation:

(9.6)^2 x 3.14 = 289.38 m^2

The area of the circle is [tex]289.38\ m^2[/tex]

Since the  radius of 9.6 meters and we use 3.14 for π

We know that

The area of the circle is

[tex]= \pi r^2\\\\= 3.14\times (9.6)^2\\\\= 289.38\ m^2[/tex]

We simply applied the given formula so that the area of the circle could come

Therefore we can conclude that The area of the circle is [tex]289.38\ m^2[/tex]

learn more about an area here: https://brainly.com/question/24364874

Answer:

[tex]x = 40 [/tex]

Step-by-step explanation:

[tex]x + x + 100 = 180 \\ 2x = 80 \\ x = 40 [/tex]

Answer:

3/8 or

2.67 or

2 67/100

Step-by-step explanation:

2.671×100100=267100

8 divide by 3. Take that and convert to fraction or decimal either or.

Answer:

12

Step-by-step explanation:

19.50-4.50=15

15÷1.25=12

Answer:

You have to use a cacolator. 5 boxes and its 9 pounds of beans in each. 5x9 is 45 pounds. Rice should be the 80 pounds hope that helps

Step-by-step explanation:

Answer:

1. ae=bd; cd=ce (given) 2. ae=ac+ce (segment addition postulate) 3. bd=ac+cd (substitution property of equality) 4. ac+cd=bd (symmetric property of equality) 5. bd=bc+cd (segment addition postulate) 6. ac+cd=bc+cd (transitive property of equality) 7. ac=bc (subtraction property of equality)

i think

Step-by-step explanation:

Answer:

6 weeks

Step-by-step explanation:

You need to write an equation for each.

For Andre, he has 100 dollars, and every week gets 5 dollars more. You add the 5 dollars, and Since you don't know how many weeks it has been, use a variable.

For Elena, she has 10 dollars, and gets 20 each week.

Now that you know that it has been 4 weeks, you can plug in 4 for the variable for weeks.

Andrew:100+5(4)=100+20+120

Elena: 10+20(4)=10+80=90

Andrew has more money in this time.

To find when they have the same amount, equal their expressions to each other. This means that they will have the same amount (because they are equalled) and you can solve to find the variable, which means the weeks that they are equal at.

Bring the like terms to each side by canceling them out. Since you have positive 10, then subtract 10 to each side. You have 5w, so subtract 5w to each side.

100+5w=10+20w

90+5w=20w

90=15w

90 divided by 15=6

w=6

Answer:

It is its tenth value

Step-by-step explanation:

The 4 in .487 is the tenths value

Answer:

80

Step-by-step explanation:

2.5(2+2) x (2^2+2^2)

2.5(4) x (4+4)

10 x 8

80

your answer is 80 :)

Answer:

80

Hope this helps :3

Answer:

-9 is the correct answer

Answer:

x=5

Step-by-step explanation:

Answer:

C) 5

Step-by-step explanation:

2^3=3x-7

2*2*2=3x-7

8=3x-7

3x=8+7

3x=15

x=15/3

x=5

Step-by-step explanation:

[tex]given \\ = 5 \times \frac{7}{2} \\ = \frac{35}{2} [/tex]

Hope it will help :)

Answer: 1 or D

Step-by-step explanation:

Answer:

hehe

Step-by-step explanation:

he

Answer:

we can tell if line ac is straight

Step-by-step explanation: