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3 years ago

M<3 is (3x + 4) and m<5 is (2x +11)

Mathematics

2 answers:

butalik [34]3 years ago

8 0

Answer:

Part 1) Option C. Same side interior angles

Part 2) Option A. $(3x+4)+(2x+11)=180\°$

Part 3) Option B. $m$

Step-by-step explanation:

Part 1) we know that

If p and q are parallel

then

m<3 and m<5 are consecutive interior angles or Same side interior angles

and

$m$

Part 2) we know that

$m$ -----> by consecutive interior angles (supplementary angles)

we have that

$m$

substitute

$(3x+4)+(2x+11)=180\°$

Part 3) Find the measure of angle 5

we know that

$(3x+4)+(2x+11)=180\°$

Solve for x

$5x+15\°=180\°$

$5x=180\°-15\°$

$x=165\°/5\°=33\°$

$m$

substitute the value of x

$m$

Alekssandra [29.7K]3 years ago

7 0

Answer: C, A, B

Step-by-step explanation:

You might be interested in

Consider the triangle below.

Pepsi [2]

The measure of angle P is 29 degrees

The sum of an interior angle of a triangle is 180 degrees. Given the following parameters:

m<M = 15x + 5

m<N = 3x + 2

m<P = 5x - 11

Taking the sum and equating to 180 degrees:

m<M + m<N + m<P = 180 degrees

15x + 5 + 3x + 2 + 5x - 11 = 180

23x - 4 = 180

23x = 184

x = 184/23

x = 8

Get the measure of m<P

m<P = 5x - 11

m<P = 5(8) - 11

m<P = 40 - 11

m<P = 29 degrees

Hence the measure of angle P is 29 degrees

Learn more on angles here: brainly.com/question/25770607

7 0

2 years ago

What is 0.08 10 times as much

RSB [31]

Well...
0.08
X 10
-------
????

0.80

3 0

3 years ago

Solve for x: 2x^5/3-22=464 a) x = 28 b) x = 27 c) x = ±27 d) x = ±28

Effectus [21]

Answer:

Step-by-step explanation:

Given the expression ${2x^{\frac{5}{3} }-22 = 464$ , we are to find the value of x in the expression. This is as shown below;

${2x^{\frac{5}{3} }-22 = 464$

add 22 to both sides

${2x^{\frac{5}{3} }-22 = 464+22\\\\$

${2x^{5/3} =486$

divide both sides by 2

$\frac{2x^{5/3}}{2} =\frac{486}{2}\\ x^{5/3} = 243$

raise both sides to the power of 3/5

$(x^{5/3})^{3/5} = (243)^{3/5}\\x = (\sqrt[5]{243}) ^3\\x = 3^3\\x = 27$

Hence the value of x is 27

8 0

3 years ago

Suppose a college student pays $750 for tuition fees. However, she also has to pay $300 for her textbooks (ouch!). What percent

Shalnov [3]

Answer:

Total costs = $700 + $300 = $1000.

$300 / $1000 = 0.3 = 3%

Step-by-step explanation:

3 0

3 years ago

I need you to answer with a, b, c, d

solong [7]

To find the zeros of a quadratic fiunction given the equation you can use the next quadratic formula after equal the function to 0:

$\begin{gathered} ax^2+bx+c=0 \\ \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \end{gathered}$

For the given function:

$f(x)=2x^2-10x-3$ $x=\frac{-(-10)\pm\sqrt[]{(-10)^2-4(2)(-3)}}{2(2)}$ $x=\frac{10\pm\sqrt[]{100+24}}{4}$ $\begin{gathered} x=\frac{10\pm\sqrt[]{124}}{4} \\ \\ x=\frac{10\pm\sqrt[]{2\cdot2\cdot31}}{4} \\ \\ x=\frac{10\pm\sqrt[]{2^2\cdot31}}{4} \\ \\ x=\frac{10\pm2\sqrt[]{31}}{4} \\ \end{gathered}$ $\begin{gathered} x_1=\frac{10}{4}+\frac{2\sqrt[]{31}}{4} \\ \\ x_1=\frac{5}{2}+\frac{\sqrt[]{31}}{2} \end{gathered}$ $\begin{gathered} x_2=\frac{10}{4}-\frac{2\sqrt[]{31}}{4} \\ \\ x_2=\frac{5}{2}-\frac{\sqrt[]{31}}{2} \end{gathered}$

Then, the zeros of the given quadratic function are:

$\begin{gathered} x=\frac{5}{2}+\frac{\sqrt[]{31}}{2} \\ \\ x_{}=\frac{5}{2}-\frac{\sqrt[]{31}}{2} \end{gathered}$

Answer: Third option

8 0

1 year ago