∠a is 35° because of vertical angle congruence. ∠b is 55° because one angle is right, so the other two have to add up to 90°, and 90°-35°=55°. ∠c is 110° because it creates a straight angle (180°) with the 70° angle, and 180°-70°=110°.

7 0

3 years ago

And right triangle ABC shown, what is the length of AC?

Vera_Pavlovna [14]

Simple pythagorus theorem with the equation a^2=b^2+c^2
To find AC, (2^2)+(3^2)=4+9=13
AC=the square root of 13

4 0

2 years ago

What is the rate of change of y=-4/9x+5

WARRIOR [948]

Answer:

Rate of change of y is $- \frac{4}{9}$

Step-by-step explanation:

$y = - \frac{4}{9} x + 5 \\ \\ differentiating \: with \: respect \: to \: x \\ \\ \frac{dy}{dx} = - \frac{4}{9} \frac{d}{dx} x + \frac{d}{dx} 5 \\ \\ \frac{dy}{dx} = - \frac{4}{9} .1 + 0 \\ \\ \huge \red{\frac{dy}{dx} = - \frac{4}{9} } \\ \\ rate \: of \: change \: of \: y =- \frac{4}{9}$

8 0

2 years ago