One angle of a right triangle measures 36. 5 degrees. What is the measure of the other small angle?.

Proof:-

In ∆TOP and ∆ZAP

[tex]\because\sf\begin{cases}\sf <O\cong <A(Given)\\ \sf TO\cong AZ(Given)\\ \sf <TPO\cong <ZPA(Opposite angles)\end{cases}[/tex]

Hence

∆TOP[tex]\cong[/tex]∆ZPA(Side-Angle-Side)

Step-by-step explanation:

Statement                                                  Reason

∠O ≅ ∠A                                                    Given

TO ≅ AZ                                                    Given

∠OPT and ∠ZPA are vertical angles       Vertical angles theorem

∠OPT ≅ ∠ZPA                                           Definition of vertical angles

ΔTOP ≅ ΔZAP                                           Angle - angle -side AAS postulate

Answer:

i.900

j.6

k.8

l.0

Step-by-step explanation:

hope this helps you ;)

If your looking for Standard Form Rewrite it as... [tex]7x^5+7x^3[/tex]

Answer: A = 15 + 0.5(w)

Step-by-step explanation: The above equation represents the amount of dollars after selling w cups of water. Remember: we also have 15 in advance, so we add that to the total amount of cups sold. We multiply 0.5 (the amount earned per water cup) by w (the number of water cups sold) and we will get our answer.

To check this, let's say we sold 10 water cups. So w = 10. Therefore, we write A = 15 + 0.5(10). That = A = 15 + 5 which A = 20. We can use any number in place of w now and we will know it is correct using this formula

Answer:

(3)(2x) + 3 (-4) + - 1n

6x + -12 + - n

Answer -n + 6x - 12

1. -2 + 15 = 13

If the temperature is -2 and it rises 15 degrees, the new temperature is 13 degrees.

2. The temperature rose 15 degrees

-6 + 9 = 15

Answer:

1 a) 13 degrees Celsius

b) By fifteen degrees

Answer:

equilateral triangle

Step-by-step explanation:

B. equilateral triangle

Answer:

$2580

Step-by-step explanation:

$1500 dollars increased by 9%. In 8 years how much money he will have.

Ok, he has 1500 bucks in there

percents are an amount out of 100 so 9%=9/100

which, 9/100 in decimal form is .09

1500*.09 which is 135

135 dollars every year added

in 8 years, he will have earned 1080 bucks due to interest

1500+1080 which is 2580 dollars

he will have 2580

Answer:

1,616.60

Step-by-step explanation:

we know that

The compound interest formula is equal to

A=P(1+\frac{r}{n})^{nt}A=P(1+

n

r

)

nt

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

\begin{gathered}t=5\ years\\ P=\$1,500\\ r=1.5\%=1.5/100=0.015\\n=4\end{gathered}

t=5 years

P=$1,500

r=1.5%=1.5/100=0.015

n=4

substitute in the formula above

A=1,500(1+\frac{0.015}{4})^{4*5}A=1,500(1+

4

0.015

)

4∗5

A=1,500(1.00375)^{20}A=1,500(1.00375)

20

A=\$1,616.60A=$1,616.60

Answer:

Okay, to graph this equation we need to graph the y-intercept first.  This time its 7 for you, meaning 0,7.  So graph (0,7) as your first point.  Then we have your slope, which is -2/3`.  So, from (0,7) we will do rise/run.  So, our next point will be (3,5).  We went down 2 and ran 3.  Since its negative, we went DOWN.

-

if you want a third point, just ask!

-

Hope this helps.

-

<3

Answer:

[tex]y=3x-15[/tex]

Step-by-step explanation:

[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{-9-(-3)}{2-4}=\frac{-6}{-2}=3[/tex]

[tex]y=3x+b[/tex]

[tex]-3=3(4)+b[/tex]

[tex]-3=12+b[/tex]

[tex]-15=b[/tex]

[tex]y=3x-15[/tex]

[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-3),~\text{and}~ (x_2,y_2) = (2,-9)\\\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-9+3}{2-4} = \dfrac{-6}{-2} = 3\\\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -(-3) = 3(x-4)\\\\\implies y+3 = 3x -12\\\\\implies y = 3x -12 -3 \\\\\implies y = 3x -15\\\\\textbf{This is the slope - intercept form(y = mx +b), where m =3 and b =-15.}[/tex]

Answer:  Graph is below

=============================================================

Explanation:

We divide both sides by -4 to isolate p. This will flip the inequality sign.

-16 > -4p

-16/(-4) < -4p/(-4)

4 < p

p > 4

The graph has an open hole at 4 and shading to the right. See below.

The solution of the inequality - 16 > - 4p is shown in number line as given below in figure.

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

The inequality is,

⇒ - 16 > - 4p

Now, Solve the inequality as;

⇒ - 16 > - 4p

Multiply by -1;

⇒ 16 < 4p

Divide by 4;

⇒ 4 < p

Thus, The solution of the inequality is,

⇒ 4 < p

And, This is shown in number line.

Learn more about the number line visit:

https://brainly.com/question/28223520

#SPJ2

Answer:

  D.  f(x) = -6x^3 -5x^2 +21x

Step-by-step explanation:

The given zeros mean the function has factors ...

  (x -(-7/3))(x -3/2)(x -0)

Multiplying by 6, we can write this as ...

  (3x +7)(2x -3)(x) = 6x^3 +5x^2 -21x

And multiplying by -1 gives ...

  -6x^3 -5x^2 +21x . . . . . matches choice D

__

Additional comment

The product of factors will be zero when f(x) = 0. This means we can multiply or divide by any convenient factor and the product will remain zero. Effectively, we have multiplied our original factorization by -6 to make the expression match one of the given forms. When we write this final expression as the function f(x), it remains true that the given zeros are zeros (x-intercepts) of f(x).

Answer: a 15y=18 and c 5y+4=10

Step-by-step explanation:

Answer:

The slopes are equal

Step-by-step explanation:

Calculate the slope m of f(x) using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 5) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = [tex]\frac{2-5}{0-(-1)}[/tex] = [tex]\frac{-3}{0+1}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3

The equation of a line in slope- intercept form is

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

g(x) = - 3x - 6 ← is in slope- intercept form

with slope m = - 3

Then the slopes of f(x) and g(x) are equal, meaning the lines are parallel

Answer:

10

Explanation:

130 divided by 13 equals 10

10 times 13 equals 130

Answer:

I would say 5.2 .

Step-by-step explanation:

if I’m wrong, I’m sorry. If I’m right, mark me brainlest!

Answer:

Which Restaurant and aquarium

Step-by-step explanation:

If you tell the name I can answer it

Answer:

y-2=-10(x-1).

Step-by-step explanation:

The point slope form is y-y_1 = m(x-x_1). Now we find the slope, which is 2-12 (-10)/1-0(1). This gives us -10. Now we plug the coordinates from one of the points and the slope to get y-2=-10(x-1).

The change in kinetic energy of the  system is 200 J

Kinetic energy is the energy that an object possesses as a result of its motion.

It is given by:

Kinetic energy = (1/2)m[v - u]²

Where m is the mass of the object, v is the final velocity and u is the initial velocity.

Given that m = 16 kg, v = 20 m/s, u = 25 m/s, hence:

Kinetic energy = (1/2) * 16 * (20 - 25)² = 200 J

The change in kinetic energy of the  system is 200 J

Find out more at: https://brainly.com/question/12669551

Step-by-step explanation:

a ticket for 3 days cost = 35968

cost of 1 ticket = 35967÷3= 11989.33

therefore, 500 tickets cost= 500 x 11989.33

= 5994666.666, approximately 5994667

Answer:

Yes, it is a solution.

Step-by-step explanation:

Plug in 2 into x and 6 into y, because 2 is the x value of the ordered pair and 6 is the y value of the ordered pair.

1st linear equation: 2+6=8, this is true.

2nd linear equation: 3x2-6=0, this is also true.

Therefore, since the ordered pair is a solution to both equations, it is a solution of the linear system.

Answer:

See attached

Step-by-step explanation:

A simpler form of the same equation is:

y = -4 +(4+2/5)

Answer:

Thats one heck of a whole lot nuts

Step-by-step explanation:

Step-by-step explanation:

Since the first coordinates are both (0,0) it implies that the line passes through the origin.

The slope of the line is therefore 5/8

The equation:

y-0=5/8(x-0)

y=5/8x

answer: 1/16

If you flip a coin 4 times, the probability of getting all heads is 1/16.

Answer:

PROOF FOR THE "PROVE" SECTION:

As linear pairs, angle 2 and 3 are supplementary to each other. Angle 1 is equal to angle 2, as they are both same-side interior angles. Therefore, angle 1 and angle 3 are also supplementary.

Filling in the missing blanks:

S1. Angle 1, Angle 2, Angle 3

S2. Angle 1 and Angle 2

R3. Congruent (___)

R5. supplementary angles

S7. Angle 1 = Angle 2, so Angle 1 can be substitued in for Angle 2 in any equation, and Angle 2 can be substitued for Angle 1 in any equation as well (they can replace each other, like x=y & y=x or a=b & b=a)

Hope this helped! Have a great day (pls mark brainliest)!!

Answer:

A biconditional statement is a combination of a conditional statement Its converse written in the if and only form