One side of a tabletop is 12x – 5 units long. Another side of the tabletop is 7x + 4 units long. If the tabletop is a square, what is the value of x?

Answer:

x = 20, y = 70

Step-by-step explanation:

The angle adjacent to 40° is 180° - 40° = 140°

Since the triangle on the right has 2 congruent sides then it is isosceles and its base angles are congruent,  both x

2x + 140 = 180 ← sum of 3 angles in triangle

Subtract 140 from both sides

2x = 40 ( divide both sides by 2 )

x = 20

------------------------------------------

The angle inside the triangle on the left is 90° - 20° = 70° , then

y = 180 - (40 + 70) = 180 - 110 = 70

Answer:

distance

Step-by-step explanation:

Point B must be the same distance from the origin as point A​.

Rotation is a kind of geometric transformation where a figure or point is rotated by a certain degrees about a given point.

Given that,

Point B is the image of the point A when A is rotated 90° counterclockwise around the origin.

A point P(x, y) after the rotation of 90°counterclockwise around the origin is P'(-y, x).

So the x coordinate changes to the negative of y coordinate and y coordinate changes to x coordinate.

Distance between P(x, y) from origin (0, 0) is √(x² + y²)

Similarly the distance P'(-y, x) from origin (0, 0) is √((-y)² + x²) = √(x² + y²)

Hence they are at the same distance.

Learn more about Rotation here :

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Answer:

your answer is correct its option B

Step-by-step explanation:

hope it's helpful...

have a great day

Answer:

A = correct equation

x = 60

Step-by-step explanation:

__+ 65 = 125

x + 65 = 125

x = 60

60 + 65 = 125

Hope it helps!

Answer:

Measure of the third angle is 28°

Step-by-step explanation:

A Triangle has three angles in total which when summed up equal to 180 degrees. Now the information in the question is that the first angle is 62° the second angle is a right angle which means it is a 90° angle and we need the third angle, and when all of this when added equals 180° So,

We let the third angle be called x.

[tex]62 + 90 + x = 180\\\\152+x=180\\\\x=180-152\\\\x=28[/tex]

So our third angle is 28°

Step-by-step explanation:

Sum of angles on a straight line = 180°

Let the third angle be x°

62° + 90° + x° = 180°......(Sum of angles on a straight)

152° + x. = 180°

x°. = 180°-152°

x° =28°

.PLEASE GIVE BRAINLIEST.

Answer:

y= -x+4

4= 2x-8

Answer:

A=750

B=1250

Step-by-step explanation: I got it right on edge.

Answer:

She will need 9 baskets.

(The exact answer is 8.84 but you can't have an eighth of a basket)

Answer:

∠ I = 39°, ∠ J = 51°, ∠ K = 90°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the3 angles and equate to 180

3x + 21 + 5x + 21 + 90 = 180, that is

8x + 132 = 180 ( subtract 132 from both sides )

8x = 48 ( divide both sides by 8 )

x = 6

Then

∠ I = 3x + 21 = 3(6) + 21 = 18 + 21 = 39°

∠ J = 5x + 21 = 5(6) + 21 = 30 + 21 = 51°

∠ K = 90°

Answer:

The value in 2006 is 366,025

Step-by-step explanation:

Here, we want to get the value of y in 2006

what we have to do here is to find and substitute the missing value of x

The missing value x is the difference between the number of years in 2002 and 2006

we have this as 2006-2002 = 4

so we have to substitute 4 here for x

Thus, we have this as;

y = 250,000(1.1)^4

y = 366,025

Answer:

Part A

The addition equation that gives Amber's total running time is presented as follows;

Amber's total running time = 1/6 hr + (1/6 + 1/12) hr  + 5/12 hr

Part B

Amber's total running time = 5/6 hr = 50 minutes

Step-by-step explanation:

Part A

The given parameters are;

The time duration Amber first ran = 10 min = 1/6 hr

The time duration Amber walks in between = 5 min = 1/12 hr

The increase in the number of minutes Amber runs in subsequent times = 5 min = 1/12 hr

Therefore, the Amber's total time is given as follows;

1/6 hr + 1/12 hr + (1/6 + 1/12) hr + 1/12 hr + x hr = 1 hr

7/12 hr + x hr = 1 hr

x hr = 1 hr - 7/12 hr  = 5/12 hr

x = 5/12

Therefore, her total running time is given by the following addition equation;

Amber's total running time = 1/6 hr + (1/6 + 1/12) hr  + 5/12 hr

Part B

Therefore her total running time is given as follows;

Amber's total running time = 1/6 hr + (1/6 + 1/12) hr  + 5/12 hr = 5/6 hr = 50 minutes

Answer:

a) 1.6

b)1.875

Step-by-step explanation:

Answer:

a) 5/8, 0r 0.625

b)15/8, or. 1.875, or 1 7/8

Answer: 16

Add all the matches

Answer:

There will be 17 sticks

Step-by-step explanation:

Answer:

17 wraps

Step-by-step explanation:

Given data

let the  number of vegetarian wraps be x

and chicken wraps be y

so

x+1.5y= 149------------1

and

x+y= 105----------------2

the systems of equation for the problem is

x+1.5y= 149

x+y= 105

from 2

x= 105-y

put this in 1

105-y+1.5y= 149

105-0.5y= 149

-0.5y= 149-105

-0.5y=44

y= 44/0.5

y= 88

put y = 88 in 2

x+88= 105

x= 105-88

x= 17

Answer:

Shoot I'm down. what you wanna talk about

Answer:

1/5

Step-by-step explanation:

I just did it and got it right

Answer: I think it is 10364 or 10248 because when i put it in a calculator I got 8803.4 or 10296

Step-by-step explanation:

Answer:

Step-by-step explanation:

Exponential equations have the form of a geometric sequence

[tex]y=ar^x\text{ y=final value, a=initial value, r=common ratio, x=term number}\\ \\ \text{The common ratio is found by dividing any term by the previous term, in this case}\\ \\ r=\frac{1}{3},\ a=27\\ \\ f(x)=27\left(\frac{1}{3}\right)^x[/tex]

Answer:

t=-19/7

Step-by-step explanation:

you need to isolate for t which means you need to get t all alone on one side of the equation. Do do that you can divide both sides by 7. This gives you -19/7=7t/7

we know that anything divided by itself is 1 so we get -19/7=t

This is the simplest for because 19 and 7 are both prime numbers, so you can't simplify them.

Answer:

I am not sure , but my answer would be 42.5° .

Answer: 72

Step-by-step explanation: 6*2=12 6*10=60 Normally you would divide by 2 to get triangles but since there are two of each, you don't.

Answer:

Solution given:

diagonal 1=AC=6+6=12units

diagonal 2=BD=2+10=12units

area of polygon (rhombus)=½*(diagonal 1*diagonal 2)

=½(12*12)=12*6=72square units

Area=72square units

Answer:

Step-by-step explanation:

Diameter (d) = 5cm

Radius ( r) = d/2 = 5 / 2 = 2.5

Now

Area

= πr²

= 3.14 * (2.5)²

= 19.625 m²

Circumference

= πd

= 3.14 * 5

= 15.7 m

Hope it will help :)

Answer:

10[tex]\sqrt{3}[/tex], or 17.32050

Step-by-step explanation:

Answer:

± 6

Step-by-step explanation:

Given

[tex]\sqrt{32+4}[/tex]

= [tex]\sqrt{36}[/tex]

= + 6 or - 6 , that is ± 6

Answer:

√{32+4}=√36=√6²=±6 is your answer

Answer:

Step-by-step explanation:

See the attached

All given details are reflected in the diagram (not to scale)

Use the law of sines:

hope it helps

im not sure about it