All angles in triangle inside add up to 180
so

the angles are y, 79,37
therefor
y+79+37=180
solvde for y
y+79+37=180
add
y+116=180
subtract 116 from ot hsides
y=64

angle y=64 degrees

7 0

3 years ago

At 2:00pm a car's speedometer reads 20mph, and at 2:10pm it reads 30mph.

Dmitry [639]

Over this 10-minute interval, the car's average acceleration is

$\dfrac{30\,\mathrm{mph}-20\,\mathrm{mph}}{10\,\mathrm{min}}=\dfrac{10\,\mathrm{mph}}{\frac16\,\mathrm h}=60\dfrac{\rm mi}{\mathrm h^2}$

The MVT says that at some point during this 10-minute interval, the car must have had an acceleration of 60 mi/h^2.

6 0

3 years ago

Please help me ASAP?!!

Blababa [14]

Answer:

(0,-5) and (-4,3)

Step-by-step explanation:

The given equations are

$\left \{ {{x^2+y^2=25} \atop {2x+y=-5}} \right.$

Make y the subject in the second equation;

$y=-2x-5$

Substitute into the first equation;

$x^2+(-2x-5)^2=25$

Expand:

$x^2+4x^2+20x+25=25$

$x^2+4x^2+20x+25-25=0$

$5x^2+20x=0$

$5x(x+4)=0$

$\Rightarrow x=0,x=-4$

When x=0,

$y=-2(0)-5=-5$

This gives; (0,-5)

When x=-4

$y=-2(-4)-5=3$

This gives (-4,3)

7 0

3 years ago

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