All categories

3 years ago

What is the value of x ?enter your answer, as a decimal, in the box

Mathematics

1 answer:

VladimirAG [237]3 years ago

5 0

Answer:

Final answer is $x=125.45$

Step-by-step explanation:

given that AB is parallel to NP

then ratio of corresponding segments must be equal

$\frac{MA}{AN}=\frac{MB}{BP}$

$\frac{MN-AN}{AN}=\frac{MB}{BP}$

$\frac{80.5-35}{35}=\frac{x}{96.5}$

$\frac{45.5}{35}=\frac{x}{96.5}$

Cross multiply

$35x=45.5\cdot96.5$

$35x=4390.75$

$x=\frac{4390.75}{35}$

$x=125.45$

Hence final answer is $x=125.45$

You might be interested in

An airliner maintaining a constant elevation of 2 miles passes over an airport at noon traveling 500 mi/hr due west. At 1:00 PM,

butalik [34]

Answer:

$\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}$

Step-by-step explanation:

Let suppose that airliners travel at constant speed. The equations for travelled distance of each airplane with respect to origin are respectively:

First airplane

$r_{A} = 500\,\frac{mi}{h}\cdot t\\r_{B} = 550\,\frac{mi}{h}\cdot t$

Where t is the time measured in hours.

Since north and west are perpendicular to each other, the staight distance between airliners can modelled by means of the Pythagorean Theorem:

$s=\sqrt{r_{A}^{2}+r_{B}^{2}}$

Rate of change of such distance can be found by the deriving the expression in terms of time:

$\frac{ds}{dt}=\frac{r_{A}\cdot \frac{dr_{A}}{dt}+r_{B}\cdot \frac{dr_{B}}{dt}}{\sqrt{r_{A}^{2}+r_{B}^{2}} }$

Where $\frac{dr_{A}}{dt} = 500\,\frac{mi}{h}$ and $\frac{dr_{B}}{dt} = 550\,\frac{mi}{h}$ , respectively. Distances of each airliner at 2:30 PM are:

$r_{A}= (500\,\frac{mi}{h})\cdot (1.5\,h)\\r_{A} = 750\,mi$

$r_{B}=(550\,\frac{mi}{h} )\cdot (1.5\,h)\\r_{B} = 825\,mi$

The rate of change is:

$\frac{ds}{dt}=\frac{(750\,mi)\cdot (500\,\frac{mi}{h} )+(825\,mi)\cdot(550\,\frac{mi}{h})}{\sqrt{(750\,mi)^{2}+(825\,mi)^{2}} }$

$\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}$

6 0

3 years ago

the area of a circle is 96 square inches. What is the area of a circlewhose diameter is 1.5 times the diameter of the circle?

mars1129 [50]

The area of a circle A equals either:
πr² or πd²/4

96 = πd²/4 => d = 11 inches

The diameter of the second circle equals :
11*1.5 = 16.5 inches

The area equals: π(16.5)²/4 = 214 square inches

Good luck

5 0

3 years ago

Match the real-world problem to its constant of proportionality.

OleMash [197]

Answer:

6.12

1.39

4.12

Step-by-step explanation:

If y ∝ x, then y = kx.

So, the constant of proportionality is given by $k = \frac{y}{x}$

Case 1:

$18.36 for 3 pizzas

Therefore, the constant of proportionality is $\frac{18.36}{3} = 6.12$

Case 2:

$4.17 for 3 pounds of bananas.

Hence, the constant of proportionality is $\frac{4.17}{3} = 1.39$

Case 3:

$16.48 for 4 pounds of potatoes.

Hence, the constant of proportionality is $\frac{16.48}{4} = 4.12$

Case 4:

2 cups of flour to make 24 cookies.

Hence, the constant of proportionality is $\frac{24}{2} = 12$ (Answer)

7 0

3 years ago

Clear selection

elena-s [515]

Answer: Velveeta

Step-by-step explanation:

Unit rate is basically the price for a single slice. This being said you would divide 2.50 by 10 and you would get .25, then you would do 4.00 by 20 which would be .20. So the better deal would be Velveeta.

6 0

3 years ago

Mary's SUV has a 15-gallon gas tank. The SUV gets an estimated 24 miles per gallon.

Delvig [45]

Answer:

A = 360

B= 180

C=270

Step-by-step explanation:

5 0

2 years ago