Mathematics, 16.07.2019 12:30 murarimenon

Joey is building a frame for a sandbox. the sandbox is going to be a quadrilateral that has the lengths shown. if the diagonal of the sandbox measures 14 feet, which best describes the shape of the sandbox? a. a rectangle, because angle c is a right angle b. a rectangle, because angle c and angle x are congruent c. a quadrilateral, because angle c and angle x are acute d, a quadrilateral, because angle c and angle x are obtuse

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Answer from: owo73

The shape of the sandbox is a quadrilateral because angle C and angle X are acute and this can be determined by using the Pythagorean theorem.

Given :

The sandbox is going to be a quadrilateral that has the lengths shown. The diagonal of the sandbox measures 14 feet.

The Pythagorean theorem can be used in order to determine given angle X and angle C are obtuse or acute.

According to the Pythagorean theorem --

If the sum of the squared of the shorter side is greater than the square of the larger side then the angle is an acute angle, that is:

c^2

If the sum of the squared of the shorter side is less than the square of the larger side then the angle is an obtuse angle, that is:

c^2a^2+b^2

If the sum of the squared of the shorter side is equal to the square of the larger side then the angle is a right angle.

c^2=a^2+b^2

Now, check the angle is obtuse, acute, or right by using the Pythagorean theorem.

c^2=14^2=196

a^2+b^2=8^2+12^2=208

208 > 196

So, angle X and angle C are acute angles. Therefore, the correct option is C).

For more information, refer to the link given below:

link

Answer from: ian2006huang

We know that
applying the Pythagoras Theorem
c²=a²+b²
where
c=14 ft
a=8 ft
b=12 ft

case a)
if
c²=a²+b²> C is a right angle

case b)
if
c²< (a²+b²)> C is an acute angle

case c)
if
c² > (a²+b²)> C is an obtuse angle

c²=14²> 196
(a²+b²)=8²+12²> 208
196 < 208
c² < (a²+b²)> C is an acute angle

therefore

the answer is the option
C. a quadrilateral, because angle C and angle X are acute

Answer from: Quest

if the pizza is divided equally into 2 equal halves then you would get

πr^2/2

where r is the radius of the pizza.

happy to

pls mark as brainliest

Answer from: Quest

$m< xyz=\frac{1}{2}(a-b)$

$m< xoy=b$

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

$m< xyz=\frac{1}{2}(mayor\ arc\ xy-minor\ arc\ xy)$

substitute the values

$m< xyz=\frac{1}{2}(a-b)$

the measure of angle xoy is equal to

$m< xoy=minor\ arc\ xy$ > by central angle

substitute the value

$m< xoy=b$

Which equation is correct regarding the diagram of circle o? a) m∠xzy = (a + b)b) m∠xzy = (a – b)c)

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Joey is building a frame for a sandbox. the sandbox is going to be a quadrilateral that has the leng...