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3 years ago

Simplify: 6(m+3n)-(7+4n)

Mathematics

1 answer:

stepan [7]3 years ago

4 0

6(m + 3n) - (7 + 4n)

6m + 18n - 7 - 4n

6m + 14n - 7

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musickatia [10]

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3 years ago

Find the measure of CP

dmitriy555 [2]

Given:

A figure ABCP.

To find:

The measure of CP.

Solution:

In triangles ABP and CBP,

$\angle PAB\cong \angle PCB$ (Given right angles)

$\angle ABP\cong \angle CBP$ (Given)

$BP=BP$ (Common side)

Now,

$\Delta ABP\cong \Delta CBP$ (By AAS property of congruence)

We know that the corresponding parts of congruent triangles are congruent.

$AP=CP$

$8=CP$

Therefore, the measure of CP is 8 units.

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3 years ago

Explain why 1/2of2 equals one whole

bixtya [17]

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3 years ago

Read 2 more answers

the length of the longer leg of a right triangle is 3 ft more than three times the length of the shorter leg. the length of the

Ulleksa [173]

with the pythagorean theorem

$\begin{gathered} (4+3x)^2=x^2+(3+3x)^2 \\ 16+24x+9x^2=x^2+9+18x+9x^2 \\ 16+24x+9x^2=10x^2+18x+9 \\ 16+24x+9x^2-9=10x^2+18x+9-9 \\ 9x^2+24x+7=10x^2+18x \\ 9x^2+24x+7-18x=10x^2+18x-18x \\ 9x^2+6x+7=10x^2 \\ 9x^2+6x+7-10x^2=10x^2-10x^2 \\ -x^2+6x+7=0 \end{gathered}$

using the formula of the quadratic equation

$\begin{gathered} x_{1,\: 2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ x1=\frac{-6+\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=-1 \\ x2=\frac{-6-\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=7 \end{gathered}$

the length cannot be negative, therefore x=7

length of the shorter leg is: 7ft

length of the longer leg is: 3+3(7)= 24ft

length of the hypotenuse is: 4+3(7)= 25ft