<h3>
Answer: Both angles are equal to 45 degrees</h3>
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Explanation:
When using the SSS congruence rule, we can prove that triangle DCA is congruent to triangle BCA.
Since the triangles are congruent, the corresponding pieces angle DCA and angle BCA are equal in measure (if they weren't, then the triangles wouldn't be congruent).
Recall that any square has four right angles, ie all angles are 90 degrees each. Angle DCB is cut in half to get 90/2 = 45.
The angles DCA and DCB are 45 degrees each.
Step-by-step explanation:
Length of the diagonal of the base (pythogorus theorem)
= sqrt(13^2 + 7.5^2)
= sqrt(169+56.25)
= sqrt(225.25)
= 15.01 in
But the drumsticks are 15.25 in long. So, they cannot lie flat on the diagonal along the base of the box.
Answer:
x = 5
Step-by-step explanation:
9x = 5x + 20
-5x -5x
4x = 20
--- -----
4 4
4x/4 = x
20/4 = 5
x = 5
The right answer is Option D.
Step-by-step explanation:
Given,
Radius of basketball hoop = 9 inches
As the basketball hoop is in circular shape.
Circumference of basketball hoop = 2πr
We will put given radius = 9
Circumference of basketball hoop = 2*π*9
Circumference of basketball hoop = 2 . 9 . π
Therefore,
Circumference of basketball hoop is 2*9*π.
The right answer is Option D.
Keywords: circle, circumference
Learn more about circumference at:
#LearnwithBrainly
Answer:
<h2><em><u>2nd</u></em><em><u> </u></em><em><u>Option</u></em><em><u>:</u></em></h2>
![\frac{1}{ {a}^{42} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B%20%7Ba%7D%5E%7B42%7D%20%7D%20)
Step-by-step explanation:
![{( {r}^{ - 7}) }^{6}](https://tex.z-dn.net/?f=%20%7B%28%20%7Br%7D%5E%7B%20-%207%7D%29%20%7D%5E%7B6%7D%20)
<em><u>Since</u></em><em><u>,</u></em>
![{( {a}^{x}) }^{y} = {a}^{xy}](https://tex.z-dn.net/?f=%20%20%7B%28%20%7Ba%7D%5E%7Bx%7D%29%20%7D%5E%7By%7D%20%20%3D%20%20%7Ba%7D%5E%7Bxy%7D%20)
<em><u>Then</u></em><em><u>,</u></em>
![= {r}^{ (- 7 \times 6)} = {r}^{ - 42}](https://tex.z-dn.net/?f=%20%3D%20%20%7Br%7D%5E%7B%20%28-%207%20%5Ctimes%206%29%7D%20%20%3D%20%20%7Br%7D%5E%7B%20-%2042%7D%20)
<em><u>Since</u></em><em><u>,</u></em>
![{a}^{ - 1} = \frac{1}{a}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B%20-%201%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7Ba%7D%20)
<em><u>Then</u></em><em><u>,</u></em>
![= {r}^{ - 42} = \frac{1}{ {r}^{42} }](https://tex.z-dn.net/?f=%20%3D%20%20%7Br%7D%5E%7B%20-%2042%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7Br%7D%5E%7B42%7D%20%7D%20)
<em><u>Therefore</u></em><em><u>, </u></em>
<em><u>2nd</u></em><em><u> </u></em><em><u>Option</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>correct</u></em><em><u>. </u></em>