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2 years ago

Solve for x if the three angles of a triangle are: x, 45 degrees, and 5x degrees

Mathematics

1 answer:

Tcecarenko [31]2 years ago

3 0

Answer: 22.5 degrees

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees.

So we can set up an equation to solve for x.

x + 45 + 5x = 180.

Combine like terms of x:

6x + 45 = 180

Subtract 45 from both sides:

6x = 135

Divide both sides by 6:

x = 22.5 degrees

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37th term; a1 = 2.3; d = -2.3

Sindrei [870]

Answer:

37th term of given arithmetic sequence $a_1$ = 2.3; d = -2.3 is -80.5.

Solution:

Given that

Need to determine 37th term, when $a_1$ = 2.3, d = -2.3

Means first term of arithmetic sequence = $a_1$ = 2.3 and common difference d = -2.3

Formula for nth term of arithmetic sequence is

$\mathrm{a}_{\mathrm{n}}=\mathrm{a}_{1}+(\mathrm{n}-1) \mathrm{d}$ --- equation 1

$\text { In our case } a_{1}=2.3, d=-2.3$

We need to determine 37th term so n = 37.

On substituting given values in equation (1) we get

$\mathrm{a}_{37}=\mathrm{a}_{1}+(37-1) \mathrm{d}$

$\begin{array}{l}{\Rightarrow a_{37}=2.3+(37-1)(-2.3)} \\\\ {\Rightarrow a_{37}=2.3(1-36)=2.3 \times 35=-80.5}\end{array}$

Hence 37th term of given arithmetic sequence is -80.5

7 0

3 years ago

How do you do this I’m in 9th grade

pashok25 [27]

Answer: -1x+3

Step-by-step explanation:

so first add the x's which is just -1x then add your whole numbers which is a positive 3 so your full answer is -1x+3

8 0

3 years ago

Select the correct answer from the drop-down menu.

ELEN [110]

Missing term = –2xy

Solution:

Let us first find the quotient of $-8x^2y^3 \div xy$ .

$-8x^2y^3 \div xy=\frac{-8x^2y^3 }{xy}$

$=\frac{-8\times x\times x\times y\times y\times y}{xy}$

Taking common term xy outside in the numerator.

$=\frac{xy(-8\times x\times y\times y)}{xy}$

Both xy in the numerator and denominator are cancelled.

$=-8xy^2$

Thus, the quotient of $-8x^2y^3 \div xy$ is $-8xy^2$ .

Given the quotient of $-8x^2y^3 \div xy$ is same as the product of 4xy and ____.

$-8xy^2=4xy$ × missing term

Divide both sides by 4xy, we get

⇒ missing term = $\frac{-8xy^2}{4xy}$

Cancel the common terms in both numerator and denominator.

⇒ missing term = –2xy

Hence the missing term of the product is –2xy.

4 0

3 years ago

What is the value of a?

AlekseyPX

Answer:

Sorry can't help try asking someone else

Step-by-step explanation:

8 0

3 years ago

I need help please this is quite hard for me

creativ13 [48]

Use photomath because it is very helpful bro

4 0

3 years ago