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2 years ago

100 Points List all congruent angles and write a proportion that relates the corresponding sides

Mathematics

1 answer:

Reil [10]2 years ago

6 0

Answer:

Angle GHF ~ KHJ

Angle GFH ~ KJH

Angle FGH ~ JKH

Where side:

FH ~ JH

FG ~ JK

GH ~ KH

Step-by-step explanation:

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Which statement explains Joni’s error?

USPshnik [31]

Answer:

um can i see the statements?

Step-by-step explanation:

8 0

3 years ago

Which does NOT show a reasonable estimate for 673 × 18?

Yakvenalex [24]

Answer:

A. 14,000

Step-by-step explanation:

because 673 rounded would equal 700

and 18 rounded would be 20

so 700x20 would be 14,000

hopefully you understand

and i hope you have a good day :)

6 0

3 years ago

Find the circumference of a circle whose radius is 4 feet. Use 3.14 for Pi.

slavikrds [6]

Answer:

25.12

Step-by-step explanation:

The formula of the circumference of a circle is: C = 2(pi)(r)

Plug in 3.14 for pi and 4 for the radius.

C = 2(3.14)(4)

Multiply.

C = 25.12

5 0

3 years ago

A car is being driven at a rate of 40 ft/sec when the brakes are applied. The car decelerates at a constant rate of 10 ft/sec2.

IRISSAK [1]

Answer:

80 feet

Step-by-step explanation:

Given:

Initial speed of the car ( $v_0$ ) = 40 ft/sec

Deceleration of the car ( $\frac{dv}{dt}$ ) = -10 ft/sec²

Final speed of the car ( $v_x$ ) = 0 ft/sec

Let the distance traveled by the car be 'x' at any time 't'. Let 'v' be the velocity at any time 't'.

Now, deceleration means rate of decrease of velocity.

So, $\frac{dv}{dt}=-10\ ft/sec^2$

Negative sign means the velocity is decreasing with time.

Now, $\frac{dv}{dt}=\frac{dv}{dx}(\frac{dx}{dt})$ using chain rule of differentiation. Therefore,

$\frac{dv}{dx}\cdot\frac{dx}{dt}= -10\\\\But\ \frac{dx}{dt}=v.\ So,\\\\v\frac{dv}{dx}=-10\\\\vdv=-10dx$

Integrating both sides under the limit 40 to 0 for 'v' and 0 to 'x' for 'x'. This gives,

$\int\limits^0_{40} {v} \, dv=\int\limits^x_0 {-10} \, dx\\\\\left [ \frac{v^2}{2} \right ]_{40}^{0}=-10x\\\\-10x=\frac{0}{2}-\frac{1600}{2}\\\\10x=800\\\\x=\frac{800}{10}=80\ ft$

Therefore, the car travels a distance of 80 feet before stopping.

4 0

3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

hichkok12 [17]

Answer: -129

<u>Step-by-step explanation:</u>

Given the sequence {-3, 6, -12, 24, ... }, we can see that the first term (a) is -3 and the ratio (r) is $\dfrac{6}{-3} = -2$ .

Input those values into the Sum formula:

$S_n=\dfrac{a(1-r^n)}{1-r}\\\\S_7=\dfrac{-3(1-(-2)^7)}{1-(-2)}\\\\.\quad=\dfrac{-3(1-(-128))}{1+2}\\\\.\quad=\dfrac{-3(1+128)}{3}\\\\.\quad=\dfrac{-3(129)}{3}\\\\.\quad=-129$

7 0

3 years ago