Find the measure of the angle indicated.1
2
4
3
151°
6
8
7
The measure of angle 7 is

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Related Questions

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.A picture of a rectangle is shown with one side labeled as 5 x plus 2 and another side labeled as x minus 4. 5x2 + 18x − 2 5x2 + 13x + 2 5x2 − 18x − 8 5x2 + 13x + 8
A first number plus a second number is 10. Twice the first number plus the second totals 26.
Solve the triangle, find m∠A and m∠C. Round angles to the nearest degree.m∠A= __∘m∠C= __∘
Find the exact value of cos(135 degree + 30 degree)
A skydiver is falling 176 feet per second. How many feet per minute is he falling

In a certain game, a player can solve easy or hard puzzles. A player earns 30 points for solving an easy puzzle and 60 points for solving a hard puzzle. Tina solved a total of 50 puzzles playing this game, earning 1,950 points in all. How many hard puzzles did Tina solve?

Answers

The number of hard puzzles solved by Tina using a system of equations is 15

Using the relation :

Number of easy puzzles = a
Number of hard puzzles = b
Points earned per easy puzzle = 30
Points earned per hard puzzle = 60
Total Number of puzzles = 50
Total points earned = 1950

The system of equation representing the scenario can be written thus :

a + b = 50 - - - - - (1)

30a + 60b = 1950 - - - - (2)

From (1)

a = 50 - b - - - - - - (3)

Substitutea = 50 - b in (2)

30(50 - b) + 60b = 1950

1500 - 30b + 60b = 1950

1500 + 30b = 1950

30b = 1950 - 1500

b = 450 / 30

b = 15

Therefore, the Number of hard puzzles solved is 15

Learn more :brainly.com/question/18796573

This is a system of equations. We can solve it by recognizing the two linear equalities we've given to solve this equation.

First, let's start off by recognizing two variables: x and y. x will be our number of hard puzzles, and y will be our number of easy puzzles. We're given that the number of hard puzzles and easy puzzles sum to 50, so we can rewrite that as:

$x+y=50$

Next, we're given that the sum of the points gained from the hard puzzles (60x), and the number of points gained from the easy puzzles (30y), sum to 1950. We can rewrite that as:

$60x+30y=1950$

Now, we have our two linear equations, and we must solve for the hard puzzles, so x. Solving for the hard puzzles means eliminating the easy puzzles from our systems, so we can multiply our first equation by 30, and subtract it from the first equation. This is a technique called elimination.

$30x+30y=1500 \n 60x+30y=1950 \n 30x=450 \implies x=15$

Since x=15, Tina has solved 15 hard puzzles.

Find the area of a regular octagon with apothem K and side of 10.40K
60K
80K

????

Answers

Answer: 40K

Step-by-step explanation:

We know that the area of a regular polygon is given by :-

$A=(1)/(2)*Apothem*Perimeter$

Given: The side of regular octagon = 10

Then, the perimeter of the regular octagon = $8(side)=8(10)=80$

Now, the area of given regular octagon is given by :-

$A=(1)/(2)*K*80\n\Rightarrow\ A=40K$

If 3a - 2 = 10, what is the value of 8a + 1?

Answers

Answer:

8a+1=33

Step-by-step explanation:

you can solve 3a-2=10 by simplifying to 3a=12, so a=4. Then you replace the a in 8a+1 with 4 to get 32+1, which is 33

Answer:

Step-by-step explanation:

3a-2= 10

3a=12

a=4

in this equation a=4 so you substitute that value into the other equation

8(4) +1=33

A man walks along a straight path at a speed of 4ft/s. A searchlight is located on the ground 20ft from the path and is kept focused on the man. At what rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight.

Answers

Now note that tan(y) = x=20,
so that sec^2y *dy/dt=1/20 dx/dt
At the instant describedin the problem,
x = 15 and the hypotenuse of the above triangle
thus has length25,
so we compute:(25/20)^2 dy/dt=1/20*4 ==>dy/dt=1/2*400/625

=16/125 rad/sec

Choose the value for which 2/a+8 is undefined

Answers

If the value is:

$\sf{(2)/(a+8)}$

Then it will be undefined when the denominator is equal to 0.

So set the denominator equal to 0

a + 8 = 0
a = -8

So when

$\huge{\boxed{\bf{a=-8}}}$

then the value will be undefined.

Just a note:

$\sf{(x)/(0)=}$ undefined

$\sf{(0)/(x)=0}$

Use mathematical induction to prove the statement is true for all positive integers n. The integer n3 + 2n is divisible by 3 for every positive integer n.

Answers

1. prove it is true for n=1
2. assume n=k
3. prove that n=k+1 is true as well

so

1.
$(n^3+2n)/(3)$ =
$(1^3+2(1))/(3)$ =
$(1+2)/(3)$ =1
we got a whole number, true

2.
$(k^3+2k)/(3)$
if everything clears, then it is divisble

3.
$((k+1)^3+2(k+1))/(3)$ =
$((k+1)^3+2(k+1))/(3)$ =
$(k^3+3k^2+3k+1+2k+2))/(3)$ =
$(k^3+3k^2+5k+3))/(3)$
we know that if z is divisble by 3, then z+3 is divisble b 3
also, 3k/3=a whole number when k= a whole number

$(k^3+2k)/(3) + (3k^2+3k+3)/(3)$ =
$(k^3+2k)/(3) + k^2+k+1$ =
since the k²+k+1 part cleared, it is divisble by 3

we found that it simplified back to $(k^3+2k)/(3)$

done

Answer:

We have to use the mathematical induction to prove the statement is true for all positive integers n.

The integer $n^3+2n$ is divisible by 3 for every positive integer n.