Write and solve equations:

If asia is 10 years older than rani the sum of their age is 200

Answer:

RY= 7

ZR=4.5

WY=14

Step-by-step explanation:

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

Method 1: Pythagorean Theorem

We can use the Pythagorean Theorem to solve for [tex]x[/tex]. The Pythagorean Theorem states that in a right triangle, the sum of the squares of the legs' side lengths is equal to the length of the hypotenuse squared. Simply put, [tex]a^{2} +b^{2} =c^{2}[/tex], where [tex]a[/tex] and [tex]b[/tex] are the legs and [tex]c[/tex] is the hypotenuse. In this case, we know that [tex]a=x[/tex], [tex]b=9[/tex], and [tex]c=15[/tex], so we get:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]x^{2} +9^{2} =15^{2}[/tex] (Substitute [tex]a=x[/tex], [tex]b=9[/tex], and [tex]c=15[/tex] into [tex]a^{2} +b^{2} =c^{2}[/tex])

[tex]x^{2} +81 =225[/tex] (Simplify exponents)

[tex]x^{2} +81-81=225-81[/tex] (Subtract [tex]81[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]x^{2} =144[/tex] (Simplify)

[tex]\sqrt{x^{2}} =\sqrt{144}[/tex] (Take the square root of both sides)

[tex]x=12,x=-12[/tex] (Simplify, remember that each positive number has two square roots: a positive one and a negative one)

In the context of the situation, we know that [tex]x=-12[/tex] is an extraneous solution because a polygon cannot have negative side lengths. Therefore, the final answer is [tex]x=12[/tex].

Method 2: Pythagorean Triples

Method 1 works, but there's an easier way to find the value of [tex]x[/tex]. If we look at the given lengths of [tex]9[/tex] and [tex]15[/tex], we can observe that this triangle is a [tex]3-4-5[/tex] right triangle enlarged by a scale factor of [tex]3[/tex], because [tex]3*3=9[/tex] and [tex]5*3=15[/tex]. The only side length that's missing is the [tex]4[/tex]. Therefore, [tex]x=4*3=12[/tex]. Hope this helps!

Answer:

the slop is gaga

Step-by-step explanation:

Answer:

Matt used 65 carpet tiles.

Step-by-step explanation:

Answer:

4a. 13

4b. -4

Step-by-step explanation:

2x-6/5 = 4 (Muti each side by 5)

2x-6 = 20

2x = 26 (Divide each side by 2)

x = 13

7- 2x/4 = 9

-2x/4 = 2 (Muti each side by 4)

-2x = 8 (Divide each side by -2)

x = -4

Answer:

0.2

Step-by-step explanation:

6+4+3+2=total no of marble

=15

no of blue marble 3

[tex] \frac{3}{15} \\ = \frac{1}{5 } \\ = 0.2[/tex]

The probability that the marble is blue is 1/5 or 0.2.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Red marbles= 6

Green marbles = 4

Blue marble = 3

Yellow marbles= 2

Total marbles= 15

So, the probability getting blue marble

= blue marble / total marble

= 3/15

= 1/5

Learn more about Probability here:

https://brainly.com/question/30034780

#SPJ6

Answer:

Slope is 2 and the y-intercept is 2

Step-by-step explanation:

Answer:

slope=2

y-intercept=2

Step-by-step explanation:

i did rise over run and got 4/2=2

y-intercept is when the line hits a number on the y axis which in this case is (0,2)

hope this helps :) have a nice day !!

please let me know if this was wrong

Answer:

1 yes and they have a scale factor of 1:2

2 yes and they have a scale factor of 1:4

Step-by-step explanation:

Answer:

1 is similar 2 is also similar

Step-by-step explanation:

1. 4&6 times 2 is 8&12

2.6&5 times 4 is 24&20

Answer:

126

Step-by-step explanation:

the answer is 126 hope that helps

Answer:

126

Step-by-step explanation:

this is the right answer

Answer:

intercepted arc

Step-by-step explanation:

An inscribed angle is an angle whose vertex lies on the circumference of a circle while its two sides are chords of the same circle. The arc formed by the inscribed angle is called the intercepted arc.

Answer:

x = 33°

Step-by-step explanation:

All triangles have added angles equal to 180°

So 180 - 101 = 79

79 - 46 = 33

So the final angle is 33

Answer:

I couldn't fuigure out the answer but here is a link that may help

Link:

https://brazosport.edu/Assets/faculty/agut-ioana/intermediate-algebra/33.%20Solving%20Quadratic%20Equations.pdf

Answer:

y = 1/2 x+4

Step-by-step explanation:

Slope intercept form is y = mx+b, where m equals the slope and b is the y-intercept.

The slope can be calculated using the formula [tex]m = \frac{y_{1}-y_{2} }{x_{1}-x_{2} }[/tex].

I'll be plugging in (2,5) and (4,6) to calculate the slope.

m = (6-5)/(4-2) = 1/2

The y-intercept is the y-coordinate of where the line meets the y-axis. In the graph, you can see that the line intersects with the y-axis at (0,4). The y-coordinate of (0,4) is 4, so therefore it is the y-intercept.

Plugin m = 1/2 and b = 4 into the slope-intercept formula (y = mx+b), and you get y = 1/2 x+4

Answer:

this is a reflection across the x axis, not the y

Step-by-step explanation:

If it were flipped by the y axis, the d and the t would be on opposite sides of the quadrilateral, but theyre on tge same side, so its only flipped across the x axis. Hope this helps.

Answer:

(3x-18) is the answer. I hope this helps

Answer:

3 is the co-efficient of x and 2 is the constant.

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

10 each dollar is 10% for 2 dollars =20%

Answer:

Diameter:6.08

Radius=D/2=6.08/2=3.04

Step-by-step explanation:

Answer:

The radius is

[tex] \sqrt{29} [/tex]

The diameter is

[tex]2 \sqrt{29} [/tex]

Step-by-step explanation:

The area of the circle is represent as

[tex] a = \pi \times r {}^{2} [/tex]

Where r is the radius and a is the area. Since pi is a irrational number, we won't focus on doing nothing with that instead we just take the sqr root of both sides to find the r or radius.

[tex] \sqrt{29} [/tex]

Which is the radius and it cant be simplified so the radius is

[tex] \sqrt{29} [/tex]

The diameter is twice longer than the radius so we

[tex]2 \times \sqrt{29} [/tex]

Which is

[tex]2 \sqrt{29} [/tex]

Step-by-step explanation:

I would mulitiply the top row by -5 so the x's would eliminate

Answer:

the answer is C

Step-by-step explanation:

please mark brainlist

Answer:

D.-26

Step-by-step explanation:

-26+12=-14 Hope this helps :)

Answer:

its P

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

The slope of the points (4,-3) and (3,-1) is -2

The slope of a line perpendicular to said points would be the opposite reciprocal which would be 1/2

heres how you'd find the initial slope of the points

(4, -3)

-1  +2

(3, -1)

Slope= rise/run= 2/-1= -2

Answer:

1.33 yd

Explain: theres a table through which I counted out

Answer:

a) (-2,-1)

b)(-3,0) (-1,0)

Step-by-step explanation:

Read the points off of the graph, the turning point is the pottom bit and the roots are where it meets 0 on the x axis

Answer:

a

Step-by-step explanation:

Answer:

A becuase it is a absolute function :3

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

because although some of the other are missing to be a function, it has to have an element of x and of y, it does not matter that some do not have it with one of y and one of x is enough

And if you are talking about relation it is also because they comply with the rules

Answer:

c or d

Step-by-step explanation: