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3 years ago

I NEED HELP ASAP PLZZZZZZ ANYONE!!!!!!!!

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

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Help me figure out the last two please

yawa3891 [41]

Answer:

$1)\ x = 5$

$2)\ x = 14$

$3) \ x = 15,\ y = 2$

Step-by-step explanation:

1) Given that M<1 = 95 + 7x and M<2 = 55 - x, you should look on the diagram to see what type of angles M<1 and M<2 are.

On the diagram at the top, angles 1 and 2 appear to be supplementary angles, meaning they add up to 180 degrees. You can apply this information to creating an equation:

M<1 + M<2 = 180°

$(95 + 7x) + (55 - x) = 180$

Now you can solve this equation by combining like terms on the left-hand side of the equation.

$150+6x=180$

Subtract 150 from both sides of the equation in order to isolate the variable x.

$6x=30$

Divide both sides of the equation by 6 in order to isolate the variable x completely.

$x=5$

2) You are given that M<3 = 5x + 12 and M<4 = 7x - 16, so look on the diagram at the top to find out what type of angles they are.

Angles 3 and 4 appear to be alternate exterior angles, meaning that they are equal to each other as stated by the Alternate Exterior Angles Theorem. You can use this information to make an equation where M<3 = M<4.

M<3 = M<4

$5x+12=7x-16$

Subtract 5x from both sides of the equation, and add 16 to both sides of the equation.

$28=2x$

Divide both sides of the equation by 2 to isolate the variable x completely.

$14=x \rightarrow x=14$

3) Given that M<1 = 7y + 16, M<2 = 2x, and M<3 = 4x - 30, look on the diagram at the bottom to find out what type of angles they are.

Since angles 2 and 3 include an "x" variable, you should start with them first in order to be able to solve for x. Angles 2 and 3 are complementary angles, meaning that they are equal to each other based on the Complementary Angles Theorem. Translate this information into an equation:

M<2 = M<3

$2x=4x-30$

Subtract 2x from both sides of the equation and add 30 to both sides of the equation.

$30=2x$

Divide both sides of the equation by 2 in order to isolate the variable x completely.

$15=x \rightarrow x=15$

Now to solve for y - based on the diagram, you can see that angle 1 and angle 2 are vertical angles, meaning that they are equal to each other based on the Vertical Angles Theorem.

You can make them equal to each other in an equation:

M<1 = M<2

$7y+16=2x$

We solved for x and know that it is 15, so substitute 15 into the equation for x.

$7y+16=2(15)$
$7y+16=30$

Subtract 16 from both sides of the equation.

$7y=14$

Divide both sides of the equation by 7 to isolate the variable x.

$y=2$

Hope this helped! Comment below if you have any clarifying questions.

3 0

3 years ago

HELLLO!HELLO HELP PLIS

Solnce55 [7]

Answer:

984m

Step-by-step explanation:

so all your doing is:

41 x 24 = 984m

3 0

3 years ago

Find T, N, and kappa for the plane curve Bold r left parenthesis t right parenthesis equalsleft parenthesis 7 Bold cos t plus

pickupchik [31]

Answer:

Step-by-step explanation:

r(t) = (7 cost + 7t sin t)i + (7 sin t - 7t cos t)j

$\frac{d \bar r t}{dt} =(7\frac{d}{dt}\cos t + 7\frac{d}{dt} (t \sin t)i+(7\frac{d}{dt} \sin t-7\frac{d}{dt} t \cos t)j$

$=(7(-\sin t)+7(1* \sin t+t \cos t))i+(7 \cost -7(1*\cos t - t \sin t))j\\\\=7((-\sin t+\sin t+t \cos t)i+(\cos t-\cos t+t \sin t)j)\\\\=7((t\cos t)i+(t\sin t)j)$

$\bar r'(t)=\frac{d \bar r t}{dt} =(7t\cos t)i+(7t\sin t)j---(1)\\\\11\bar r(t)=\sqrt{(7t\cos t)^2+(7t\sin t)^2}\\\\=\sqrt{49t^2(\cos^2t+\sin^2 t)} \\\\=7t$

$\bar T (t)=\frac{\bar r'(t)}{11\bar r(t)11} =\frac{(7t\cos t)i+(7t\sin t)j}{7t} \\\\\barT(t)=(\cos t)i+(\sin t)j$

$\bar T'(t)=\frac{d}{dt} (\cos t)i+\frac{d}{dt} (\sin t) j\\\\\bar T'(t)=(-\sin t)i+(\cos t)j---(2)\\\\11\bar T'(t)=\sqrt{(-\sin t)^2+(\cos t)^2} \\\\=\sqrt{\sin^2t+\cos^2t} \\\\=1$

$\bar N(t)=\bar T'(t)=\frac{(-\sin t)i+(\cos t)j}{(1)} \\\\ \large \boxed {\bar N(t)=(-\sin t)i+(\cos t)j}$

$K(t)=\frac{|\b\r T'(t)|}{\bar r (t)|} \\\\=\frac{|-\sin t i+\cos t j|}{|7t\cos t +7t \sin t j|}$

Using eq (1) and (2)

$K(t)=\frac{\sqrt{(-\sin t)^2+(\cos t)^2} }{\sqrt{(7t\cos t)^2+(7t\sin t)^2} }\\\\=\frac{\sqrt{\sin^2 t+\cos^2t} }{\sqrt{49t^2(\cos^2 t+\sin^2t)} }\\\\=\frac{\sqrt{1} }{\sqrt{49t^2\times 1} } \\\\ \large \boxed {K(t)=\frac{1}{7t} }$

7 0

3 years ago

Fourteen hours after a convict escapes from prison, a guard begins to pursue him. If the convict travels at eight mph on foot an

algol13

9514 1404 393

Answer:

128 miles

Step-by-step explanation:

The convict has a head start of ...

distance = speed × time

distance = (8 mi/h) × (14 h) = 112 mi

That distance is being closed at a rate that is the difference between the speeds, so ...

64 mi/h -8 mi/h = 56 mi/h

The time it takes the guards to catch the convict will be ...

time = distance/speed

time = (112 mi)/(56 mi/h) = 2 h

The guards and prisoner will be at a distance from the prison of ...

distance = speed × time

distance = (64 mi/h)(2 h) = 128 mi

The convict will be caught 128 miles from the prison.

<em>Check</em>

The convict will run an additional (8 mi/h)(2 h) = 16 mi after the guards start pursuit. That, in addition to the 112 miles already run, will total 112+16=128 miles, the same distance the guards travel in that 2 hours.

8 0

3 years ago

CONVERTING METRIC UNITS - LENGTH WEIGHT & VOLUME 1

zzz [600]

Answer:

2 KM 2 L 2 KG I dont know the rest i figured i could help someone but thats all i can do at the moment sorry i might come back to finish it later.

Step-by-step explanation:

4 0

3 years ago