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3 years ago

A parallelogram has one angle that measures 40°. What are the measures of the other three angles in the parallelogram?

Mathematics

1 answer:

Agata [3.3K]3 years ago

5 0

Answer:

40°, 140°, and 140°

Step-by-step explanation:

A parallelogram has 2 pairs of angles with equal measure.

If one angle is 40°, the angle opposite to that must also be 40°

A parallelogram has an internal angle sum of 360°.

2 angles we know add up to 80°, subtract that from 360° and you can find the other 2 angles..

360° - 80° = 280°

The other 2 angles add up to 280°, so

280°/2 = 140°

The other 2 angles are each 140°

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Find the value of x in the triangle shown below.

DIA [1.3K]

Answer:

x=8

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

6^2 + x^2 = 10^2

36 + x^2 = 100

Subtract 36 from each side

36-36 +x^2 = 100-36

x^2 = 64

Take the square root of each side

sqrt(x^2) = sqrt(64)

x = 8

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GrogVix [38]

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2 years ago

The radius of a cylinder gift box is box is 3X +1 inches the height of the gift box is twice the radius what is the surface area

Genrish500 [490]

Answer:

The surface area of the gift box is = $A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}$

Step-by-step explanation:

The surface area of the cylinder can be calculated using this formula:

$A=2\pi rh+2\pi r^2$

in this case, r is not a number, but rather an expression, which is r = $3x +1$ .

The height of the gift box is twice the radius, which is h = $2(3x+1)= 6x+2$

To get our curved surface area, we carefully put the expressions for h and r into the equation.

$A = 2 \times \frac{22}{7} \times (3x+1) \times (6x+2) + 2 \times \frac{22}{7} \times (3x+1)^{2}$

$A = \frac{44}{7} (3x+1) \times (6x +2) + \frac{44}{7} (9x^{2} + 6x +1)\\A =\frac{132}{7}x + \frac{44}{7} \times (6x+2)+ \frac{396}{7}x^{2}+\frac{246}{7}x +\frac{44}{7}$

$A = \frac{792}{7}x^{2} +\frac{264}{7}x +\frac{264}{7}x + \frac{88}{7} + \frac{396}{7}x^{2} + \frac{246}{7}x + \frac{44}{7}$

$A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}$

The surface area of the gift box is = $A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}$

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Step-by-step explanation:

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