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3 years ago

Measure of the angle

Mathematics

1 answer:

IgorLugansk [536]3 years ago

7 0

Answer:

an angle of 45 degres is the answer

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to rent a building for a school dance ava paid $120 plus $2.50 for each student who attended. If she paid a total cost of $325 h

deff fn [24]

Answer:

82 students

Step-by-step explanation:

8 0

3 years ago

X^2 - y^2 = 100

luda_lava [24]

Answer:

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

$x+y=5$

Subtract y from both sides:

$x=5-y$

Now, substitute "5-y" for "x" in the first equation:

$(5-y)^2-y^2=100$

Note that:

$(a-b)^2=a^2-2ab+b^2$

$25-10y+y^2-y^2=100$

Cancel out like terms:

$25-10y=100$

Subtract 25 from both sides:

$-10y=75$

Divide both sides by -10

$y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}$

Now, substitute this value back into either of the equations to solve for x.

$x+y=5\\x-\frac{15}{2}=5\\$

Add 15/2 to both sides:

$x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}$

Now, find the difference:

$x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20$

8 0

2 years ago

Think about a six-sided die with each number, 1 through 6, appearing once on each die. Which of the following events is mutually

Svetllana [295]

C. Rolling a 3 or a factor of 6

8 0

3 years ago

lukranit [14]

Answer:

Step-by-step explanation:

The y-coordinate of the point where both lines intersect will give us the same solution for x.

At y = 4, both equations will have a corresponding x-value of 1.

Therefore, the value of y that that will make both equations have the same solution of x is 4.

7 0

3 years ago

the sum of the first nine terms of an arithmetic series is 162, and the sum of the first 12 terms is 288. Determine the first fi

Natali5045456 [20]

Answer:

$\boxed{\pink{\tt \leadsto Sum \ of \ first \ five \ terms \ is \ 50 . }}$

Step-by-step explanation:

Given that , the sum of the first nine terms of an arithmetic series is 162 and the sum of the first 12 terms is 288.

$\boxed{\red{\bf \bigg\lgroup For \ answer \ refer \ to \ attachment \bigg\rgroup }}$

<h3>Related Information :- </h3>

• The sum of n terms of an AP is

$\boxed{\orange{\sf S_n = \dfrac{n}{2}[2a+(n-1)d] }}$

• nth term of an AP is given by ,

$\boxed{\blue{\sf T_n = a+(n-1)d }}$

8 0

2 years ago

Measure of the angle ​

Measure of the angle