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3 years ago

How to do?,what is X and Y?

Mathematics

1 answer:

ELEN [110]3 years ago

6 0

Because the triangles are similar, corresponding sides have the same ratio.
.. AB/DE = BC/EC = AC/DC
.. 24/18 = 8/y = (15 +x)/15
Then we can solve for x and y.
.. x = 15*(24/18) -15 = 5
.. y = 8*(18/24) = 6

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Order each set of measures from greatest to least 1) 1.2 cm, 0.6 in, 0.031 m, 0.1 ft 2) 2 lb, 891 g, 1 kg, 0.02 T 3) 1 1/4 c, 0.

labwork [276]

Step-by-step explanation:

1) 1.2 cm, 0.6 in, 0.031 m, 0.1 ft

The relationship between the units is given as;

m > ft > in > cm

Upon converting the rest units to the lowest;

0.6 in = 1.524 cm

0.031 m = 3.1 cm

0.1 ft = 3.048 cm

The order is given as;

0.031 m > 0.1 ft > 0.6 in > 1.2 cm

2) 2 lb, 891 g, 1 kg, 0.02 T

2 lb = 907.185 g

1 kg = 1000 g

0.02 T = 20000 g

The order is given as;

0.02 T > 1 kg > 2 lb > 891 g

3) 1 1/4 c, 0.4 L, 950 mL, 0.7 gal

0.4 L = 400 mL

0.7 gal = 2649.79 mL

11/4 c = 650.6177 mL

The order is given as;

0.7 gal > 11/4 c > 950ml > 0.4 L

4) 4.5 ft, 48 in., 1.3 m, 120 cm

The relationship between the units is given as;

m > ft > in > cm

Upon converting the rest units to the lowest;

4.5 ft = 137.16 cm

48 in = 121.92 cm

1.3 m = 130 cm

The order is given as;

4.5 ft > 1.3 m > 48 in > 120 cm

3 0

3 years ago

A wheelchair ramp rises 1.5 feet for every 18 feet of horizontal distance it covers. Find the rate of change of the ramp

Ierofanga [76]

By definition the rate of change of a function is given by:
$AVR = \frac{Change In Y}{Change In X}$
Or equivalently:
$AVR = \frac{y2 - y1}{x2 - x1}$
Substituting the values given in the problem we have:
$AVR = \frac{1.5}{18}$
Rewriting we have:
$AVR = 0.08$
Answer:
the rate of change of the ramp is:
$AVR = 0.08$

7 0

3 years ago

(-14x+14)1/2+14x use distributive property Help please

brilliants [131]

1/2(-14x + 14) + 14x

Distributive property.

-7x + 7 + 14x

Combine like terms.

7x + 7 (This is the simplified answer.)

7 0

3 years ago

Which quadratic equation defines the function that has zeros at − 1/12 and 1/4 ?

Cerrena [4.2K]

$\bf \begin{cases}
x=-\frac{1}{2}\implies &x+\frac{1}{2}=0\\\\
x=\frac{1}{4}\implies &x-\frac{1}{4}=0
\end{cases}
\\\\\\
\left( x+\frac{1}{2} \right)\left( x-\frac{1}{4} \right)=\stackrel{y}{0}\implies \stackrel{FOIL}{x^2+\frac{1}{4}x-\frac{1}{8}}=y$

7 0

3 years ago

Twice a number decreased by 16 is 64.

Artyom0805 [142]

You number is 40 40 x 2= 80- 16 =64 your welcome :)

8 0

3 years ago