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3 years ago

8

Hey I really need help, like rn!!! What is the scale factor of the triangle dilated from OPQ to OP’Q’ from center O? Explain and

/or show your work.

2 answers:

Mamont248 [21]3 years ago

8 0

Answer:

OQ'/OQ=P'Q'/PQ=OP'/OP

Step-by-step explanation:

d1i1m1o1n [39]3 years ago

7 0

Answer:Because of P'Q'//PQ. Use theorem Thales so we will have OQ'/OQ=P'Q'/PQ=OP'/OP=2/5

I don't know if you study this theorem or not?

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Five times the sum of a number and 27 is greater than or equal to six times the sum of that

AleksAgata [21]

The complete version of question:

<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution of this problem.</em>

Answer:

$5\left(x+27\right)\ge \:6\left(x+26\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-21\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-21]\end{bmatrix}$

Step-by-step explanation:

As the description of the statement is:

'<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26'.</em>

<em />

As

<em>Five times the sum of a number and 27 </em>is written as: $5(x + 27)$

<em>greater than or equal </em>is written as: $\geq$

<em>six times the sum of that number and 26' </em>is written as: 6(x + 26)

so lets combine the whole statement:

<em /> $5\left(x\:+\:27\right)\ge \:6\left(x\:+\:26\right)$ <em />

solving

<em /> $5\left(x\:+\:27\right)\ge \:6\left(x\:+\:26\right)$ <em />

<em /> $5x+135\ge \:6x+156$ <em />

<em /> $5x+135-135\ge \:6x+156-135$ <em />

<em /> $5x\ge \:6x+21$ <em />

<em /> $5x-6x\ge \:6x+21-6x$ <em />

<em /> $-x\ge \:21$ <em />

<em /> $\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}$ <em />

<em /> $\left(-x\right)\left(-1\right)\le \:21\left(-1\right)$ <em />

<em /> $x\le \:-21$ <em />

Therefore,

$5\left(x+27\right)\ge \:6\left(x+26\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-21\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-21]\end{bmatrix}$

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3 years ago

What are the square roots of 64144 ? −812 and 812 −49 and 49 −3272 and 3272 −412 and 412

worty [1.4K]

Answer:

-8/12 and 8/12

Step-by-step explanation:

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3 years ago

12 inches to millimeters

gogolik [260]

The answer is 304.8 millimetres

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3 years ago

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A box of 25 munchkins cost $5.46 what is the unit rate per munchkin

timurjin [86]

The unit rate per munchkin is $0.22.

<h3>What is Division?</h3>

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

The cost of 25 munchkins cost $5.46, therefore, the unit rate of each munchkin can be written as,

$\text{Cost of unit munchkin} = \dfrac{\text{Total cost of munchkins}}{\text{Number of munchkins}}\\\\\text{Cost of unit munchkin} = \dfrac{\$5.46}{25}=\$0.2184 \approx \$0.22$

Hence, the unit rate per munchkin is $0.22.

Learn more about Division:

brainly.com/question/369266

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2 years ago

Using long division to find the quotient and remainder 4x^4+2x^2-2 divided by x^2+2

emmasim [6.3K]

4x² -6
__________________
x²+2 l 4x^4 +2x² -2
l 4x^4 +8x²
--------------------
-6x² -2
-6x² -12
---------------
10

so the answer is $(4x^2-6) \frac{10}{x^2+2}$

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3 years ago