Solve for (x,y,z)
x + 5y + 5z = -10
x + y +z= 2
x + 2y + 3z = -3​

Answer:

first part is 32 inches, second part is 16 inches, third part is 11 inches.

Step-by-step explanation:

2x + x + x - 5 =  59

4x + 64

x = 16.

we can then plug 16 in first parts expression, 2x, for 32. second part is just x so 16. 3rd part is 5 less, x-5, so 11.

Answer:

t = 7/-4 OR -1 3/4

Step-by-step explanation:

3(t - 3) = 5(2t - 1)​

3t - 9 = 10t - 5

(3t - 3t) - 9 = (10t - 3t) - 5

-9 = 7t - 5

-9 + 5 = 7t (- 5 + 5)

-4 = 7t

-4/-4 = 7t/-4

t = 7/-4 OR -1 3/4

Answer: x = 30°

Concept:

Here, we need to know the idea of an isosceles triangle and the vertical angle theorem.

An isosceles triangle is a triangle that has any two of its sides equal to each other. Also, the angles opposite these equal sides are equal, which is basically the base angles.

The vertical angle theorem states that two vertical angles formed when two lines intersect each other are always equal to each other.

Solve:

Find the other base angle of the isosceles triangle.

Since there are two equal sides, we know that this is an isosceles triangle.

Since the definition said that the base angles are equal, the other base angle would also be x.

Find the value of x

According to the vertical angle theorem, two vertical angles formed by intersection are equal.

Just as angle x and 30°, are vertical angles formed by intersection, therefore, [tex]\boxed{x=30}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

8 and 32

Step-by-step explanation:

(19)

x³ ÷ 3 - y ( substitute x = 3, y = 1 into the expression )

= 3³ ÷ 3 - 1

= 27 ÷ 3 - 1

= 9 - 1

= 8

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

(21)

12k - h² ( substitute h = 2, k = 3 into the expression )

= 12(3) - 2²

= 36 - 4

= 32

Answer:8/25

Step-by-step explanation:

Answer:

Step-by-step explanation:

32/100 = 16/50 = 8/25

Answer:

The measure of angle C is 92°

Step-by-step explanation:

In a quadrilateral opposite angles are supplementary (Angles add up to 180°)

So since we have two opposite angles already set up the equation:

(x+24)+(x+10) = 180

Combine like terms - x+x+24+10 = 180 → 2x+34 = 180

Cancel out the constant to solve for x: 2x+34-34 = 180-34

Divide both sides by 2 so x is isolated: 2x/2=146/2

Solve: x=73

Now that we know x = 73 we can find angle C by setting up the equation:

Let C represent the unknown angle of ∠C

73+15+C=180

Combine like terms: 88+C=180

Isolate C: 88-88+y=180-88

Solve for C: C=92

Answer:

I think it is 20

step by step explanation

Multiples of 10:-

18 is closest to 20

Hence our answer is 20

Answer:

10

Step-by-step explanation:

g(n) = n² + 4 - n

if g(3), substitute 3 in the (n)

g(3) = 3²+4-3

g(3) = 10

Answer:

Answer D but read below.

Step-by-step explanation:

The point of tangency is the endpoint of either a radius or a diameter such that only one point of the circumference of the circle is concurrent with the endpoint of the diameter or radius of the circle.

Technically, it is none of them. E should be 180 degrees. That is really a sloppy question.

However I think you are expected to answer F which is answer D.

Answer:

The answer is D.

Step-by-step explanation:

I learned it in school.

Answer:

Y-2x=8

Y-x=8/2

Yx=4

Maths gradients

Answer:

b

Step-by-step explanation:

Answer:

At, x=-5

Step-by-step explanation:

(2-4)(x+5)=-2×0

Answer: x = 3

Step-by-step explanation:

[tex]2x-7=\frac{1}{3}x-2\\\\6x-21=x-6\\\\5x-21=-6\\\\5x=15\\\\x=3[/tex]

Answer:

The scientist stated her hypothesis, set up a controlled experiment, and isolated the variable that could affect her work.

Answer:

No solution

Step-by-step explanation:

Distribute the right side of the equation.

This will make it 3/8f+1/2=3/8f - 18

And, since 3/8f plus 1/2 will never equal the same thing as 3/8f minus 18, there are no solutions

Answer and Step-by-step explanation:

First, distribute the 6 to the [tex]\frac{1}{16} f[/tex] and -3.

[tex]\frac{3}{8} f + \frac{1}{2} = \frac{6}{16} f - 18\\\\\frac{3}{8} f + \frac{1}{2} = \frac{3}{8} f - 18[/tex]

If you were to subtract [tex]\frac{3}{8} f[/tex] from both sides of the equation, you would be left with [tex]\frac{1}{2} = -18[/tex], which isn't correct.

This means that there are NO solutions to this equation, or no value of f that will make both sides of the equation equal to each other.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

10: a

11: c

Step-by-step explanation:

10. Use the midpoint formula

[tex]\frac{-6+8}{2}[/tex], [tex]\frac{2+9}{2}[/tex] = 1, 5.5

11. 7 + 4 + 4 = 15

(add two fours because N is the midpoint)

Answer:

6x-5

Step-by-step explanation:

14x-4- (3x-2)-(5x+3)= 14x-4-3x+2-5x-3= 6x-5

Answer:

a.

MP3 player: 88%

Video game player: 92%

b.

MP3 player: 75 minutes

Video game player: 67 minutes

Step-by-step explanation:

a.

MP3 player

- Already has 40%

- Each 15 minutes additional 12%

--> An hour = (60/15)*12 = 48 (%)

--> After an hour charged = 40 + 48 = 88%

Video game player

- Already has 20%

- Each 10 minutes additional 12%

--> An hour = (60/10)*12 = 72 (%)

--> After an hour charged = 20 + 72 = 92 (%)

b. To charges 100 minutes:

MP3 player

100 = 40 + ((x/15*12)

--> x = 75 (minutes)

Video game player

100 = 20 + ((x/10*12)

--> x = 67 (minutes)

Step-by-step explanation:

For every clockwise 90-degree rotation on a point (x, y), the resulted transformation will be (y, -x).

Now, counterclockwise 270 degree rotation is equivalent to clockwise 90 degree rotation. Then, for instance, point H=(2 ,-1) will be transformed into the image H'=( -1,2)

Step-by-step explanation:

you heard of the Pythagoras formula for rectangular triangles ?

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90 degree angle), a and b are the other 2 sides touching the 90 degree angle.

so, in your case here we have therefore

x² = 8² + 6² = 64 + 36 = 100

x = sqrt(100) = 10

you know "sqrt" is an international abbreviation for square root : the opposite of squaring a number.

Answer:

C. 76

Step-by-step explanation:

Since the numbers add up by 5, you can use this equation. 5x-4.  Plug in 16 for x to get the answer which is 76.

Answer:

Cheetah

Step-by-step explanation:

American Antelope's speed = 94980 meters per hour

                                            = 59 miles per hour

The Cheetah is faster than the American Antelope

Answer:

SEE IMAGE FOR SOLUTION

HOPE IT HELPS

Step-by-step explanation:

900 litres

Answer:

Yes, because if the multiplication identity is 1, the division identity may be -1 because it is the opposite.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

5!

Step-by-step explanation:

2x+260=mB50

= 2(5)+260

=310

sq=5

Answer:

[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]

Step-by-step explanation:

[tex]f(x) = 2 {x}^{2} + 5x - 2[/tex]

[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x) - 2[/tex]

[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]

[tex]f(x) + 2 \times \frac{25}{16} = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]

[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - 2 - \frac{25}{8} [/tex]

[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]

Answer:

11

Step-by-step explanation:

You would add 5 + 4.2 + 5 - 2.2 - 1 in a calculator and it would come out to be 11.

Answer:

160 cm²

Step-by-step explanation:

If the two rectangles are similar, that means they have equal scale factors.  The smaller rectangle has length of 8 cm and area of 40 cm, which means the width is 5 cm.  

The width of the larger rectangle is 10 cm, which is double the width of the smaller, similar rectangle.  So, to find the length of the larger rectangle, multiply 8 x 2, which gives you 16 cm for the length, since the scale factor is 2.

Now, just find the area of the larger rectangle by doing length x width.  16cm x 10 cm = 160 cm²

Answer:

160 cm^2

Step-by-step explanation:

Our strategy is to find the length of the larger rectangle so we can find the area. To find the length, we will rely on the fact the two rectangles are "similar": their sides are in equal proportions, or have the same "ratio."

We know that the smaller rectangle has a width of 5 cm because, when we substitute area and length into

A = lw

we get

40 = 8w

w = 5

when we divide both sides by 8.

Because of equal proportions:

Width : length of the smaller rectangle = Width : length of the larger rectangle

We can write an equation

5 / 8 = 10 / x

Cross multiply

5x = 80

x = 16

So the larger rectangle has a length of 16 cm and a width of 10 cm (given)

meaning the area is

16 * 10 = 160 cm^2