3 years ago

If /\PQR~/\SQT, find the value of x.

Mathematics

1 answer:

worty [1.4K]3 years ago

7 0

Answer:

$\frac{x + 13}{8} = \frac{21}{x - 9} \\ {x}^{2} + 4x - 117 = 168 \\ {x}^{2} + 4x - 285 = 0 \\ (x - 15)(x + 19) = 0 \\ x = 15 \\ x = - 19$

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The length of the diagonal of a rectangle is 140−−−√ inches.

andrew11 [14]

Answer:

answer is second one

Step-by-step explanation:

The length is between 11 and 12 inches.

√140 = 11.83 inches

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2 years ago

What is the difference in Fahrenheit degrees between a temperature of 0C and a temperature of 15C?

slamgirl [31]

Answer:

$27^{\circ}F$

Step-by-step explanation:

Use formula

$F=1.8C+32$

to convert Celsius to Fahrenheit.

When $C_1=0^{\circ}C,$ then

$F_1=1.8\cdot 0+32\\ \\F_1=32^{\circ}F$

When $C_2=15^{\circ}C,$ then

$F_2=1.8\cdot 15+32\\ \\F_2=27+32=59^{\circ}F$

Difference:

$F_2-F_1=59^{\circ}F-32^{\circ}F=27^{\circ}F$

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3 years ago

What is 3X^2 × 2X^3

irinina [24]

Answer:

Step-by-step explanation:

3x^2 * 2x^3= 6x^5

Multiply the 3 and 2 to get 6. Add the exponents.

6 0

3 years ago

When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement in feet, f,

jonny [76]

Step-by-step explanation:

wow, how complicated can one phrase this ...

the point being :

1 ft = 12 in and vice versa (1 in = 1/12 ft)

so, any measurements given in feet but needed in inches need to be multiplied by 12.

and any measurements given in inches but needed in feet need to be divided by 12.

so,

3.5 ft = 3.5×12 = 7/2 × 12 = 7×6 = 42 in

27 in = 27/12 = 9/4 = 2 1/4 or 2.25 ft

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3 years ago

45 x 3.5 please explain

Alinara [238K]

Answer:

157.5

Step-by-step explanation:

Try like this:

45 times 3.5

8 0

3 years ago

Read 2 more answers