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2 years ago

Which statement is true?

Mathematics

1 answer:

Murrr4er [49]2 years ago

4 0

Answer:

9 < √91 < 10

Step-by-step explanation:

just square everything

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A textbook store sold a combined total of 260 chemistry and physics textbooks in a week. The number of chemistry books sold was

Lynna [10]

Let:

x = Chemistry textbooks sold

y = Physics textbooks sold

The textbook store sold a combined total of 260, so:

$x+y=260$

The number of chemistry books sold was three times the number of physics textbooks sold, so:

$x=3y$

Let:

$\begin{gathered} x+y=260_{\text{ }}(1) \\ x=3y_{\text{ }}(2) \end{gathered}$

Replace (2) into (1):

$\begin{gathered} 3y+y=260 \\ 4y=260 \\ y=\frac{260}{4} \\ y=65 \end{gathered}$

Replace the value of y into (2):

$\begin{gathered} x=3(65) \\ x=195 \end{gathered}$

5 0

1 year ago

There is a parallelogram ABCD with diagonals AC and BD. The diagonals AC and BD intersects each other at point E. Side AB is con

grandymaker [24]

Answer:

SAS theorem

Step-by-step explanation:

Given

$\square ABCD$

$\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD$

$\angle BAC = \angle DCA$

Required

Which theorem shows △ABE ≅ △CDE.

From the question, we understand that:

AC and BD intersects at E.

This implies that:

$\[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC$

and

$\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED$

So, the congruent sides and angles of △ABE and △CDE are:

$\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD$ ---- S

$\angle BAC = \angle DCA$ ---- A

$\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED$ or $\[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC$ --- S

<em>Hence, the theorem that compares both triangles is the SAS theorem</em>

4 0

2 years ago

Find the exact values of the remaining trigonometric functions of θ satisfying the given conditions. (if an answer is undefined,

natita [175]

The answer is undefined.

8 0

3 years ago

Find the 92nd term of the arithmetic sequence 11, 19, 27, ...

arlik [135]

Answer:

The 92nd term of the arithmetic sequence is 731 because the common difference between them is 8 and then I added 8 with every single number that I got and I continued adding until I get my 92nd term which is 731.

6 0

3 years ago

The tax rate on Jerome James 112000 vacation home is 25 Mills the property is assessed at full value how much will Jerome pay in

zaharov [31]

Answer: $2,800

Step-by-step explanation:

Given: The assessment value of Jerome's home= $$112,000$

We know that to calculate the property tax, we need to multiply the assessment value of the property by the mill rate and then divide by 1,000.

Then, the property tax is given by :-

$\text{Property tax}=\dfrac{\$112,000\times25}{100}\\\\\Rightarrow=\text{Property tax}=\$2,800$

Therefore, Jerome pay $2,800 as property tax in this year.

4 0

3 years ago

Read 2 more answers

Which statement is true?​

Which statement is true?