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3 years ago

Triangle ABC is congruent to triangle XYZ. Which angle corresponds to angle A? Helpp

Mathematics

1 answer:

kipiarov [429]3 years ago

6 0

It would be congruent to angle X

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Simplify the expression: Show your work. Write the answer in standard form (15 +6d - d²) + (-5d² - 18 + 6d) PLEASE HELP

mezya [45]

Answer:

-6d^2 + 12d - 3

Step-by-step explanation:

use PEMDAS

parentheses

exponents

multiplication

division

addition

subtraction

use that order to solve problems like that.

6 0

3 years ago

P(x)= 3x^3-5x^2-14x-4

nexus9112 [7]

$\displaystyle\\
P(x)=3x^3-5x^2-14x-4\\\\
D_{-4}=\{-4;~-2;~\underline{\bf -1};~1;~2;~4\}\\\\
\text{We observe that } \frac{-1}{3} \text{ is a solution of the equation:}\\
3x^3-5x^2-14x-4=0\\\\
$

$\displaystyle\\
\text{Verification}\\\\
3x^3-5x^2-14x-4=\\\\
=3\times\Big(-\frac{1}{3}\Big)^3-5\times\Big(-\frac{1}{3}\Big)^2-14\times\Big(-\frac{1}{3}\Big)-4=\\\\
=-\frac{1}{9}-\frac{5}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{42}{9}- \frac{4\times 9}{9}=\\\\
 =-\frac{6}{9}+\frac{42}{9}- \frac{36}{9}= \frac{42-6-36}{9}=\frac{42-42}{9}=\frac{0}{9}=0\\\\
\Longrightarrow~~~P(x)~\vdots~\Big(x+ \frac{1}{3}\Big)\\\\
\Longrightarrow~~~P(x)~\vdots~(3x+1)$

$\displaystyle\\
3x^3-5x^2-14x-4=0\\
~~~~~-5x^2 = x^2 - 6x^2\\
~~~~~-14x =-2x-12x \\
3x^3+x^2 - 6x^2-2x-12x-4=0\\
x^2(3x+1)-2x(3x+1) -4(3x+1)=0\\
(3x+1)(x^2-2x -4)=0\\\\
\text{Solve: } x^2-2x -4=0\\\\
x_{12}= \frac{-b\pm \sqrt{b^2-4ac}}{2a}=\\\\=\frac{2\pm \sqrt{4+16}}{2}=\frac{2\pm \sqrt{20}}{2}=\frac{2\pm 2\sqrt{5}}{2}=1\pm\sqrt{5}\\\\
x_1 =1+\sqrt{5}\\
x_2 =1-\sqrt{5}\\
\Longrightarrow P(x)= 3x^3-5x^2-14x-4 =\boxed{(3x+1)(x-1-\sqrt{5})(x-1+\sqrt{5})}$

7 0

3 years ago

A grocery store sells tangerines in 2/5 kg bags. A customer bought 4 kg of tangerines for a school party. How many bags did he b

Alex777 [14]

10kg bags I believe

8 0

2 years ago

Read 2 more answers

Can somebody tell me the answer and maybe tell me how you got it too.

asambeis [7]

To get t on one side, we have to use inverse operations to get rid of the 5.

1. Use inverse operation of multiplication to get rid of 5. Which would be division.

2. Divide both sides by 5.

5t/5 = 7 1/2 / 5

3. Solve.

5t/5 = t and 7 1/2 /5 = 1 1/2

7.5 / 5 = 1.5

Therefore, your answer would be C. divide both sides by 5, and the answer is 1 1/2.

7 0

4 years ago

A markdown that is less than 1% ?

Sholpan [36]

Then mark it down by less then 1%, of by whatever the number would be.

5 0

3 years ago