Answer:
Always
Step-by-step explanation:
Some people might mistaken it for sometimes, but the part that makes it always is when it says "regular" hexagons.
Similarity is defined by having congruent angles and proportional sides. Regular hexagons will always have internal angles of 60°, meaning that any two regular hexagons will always be similar.
Answer:
The hypothesis test is right-tailed and the parameter that is being tested is the population standard deviation (
).
Step-by-step explanation:
We are given with the following null and alternative hypothesis below;
Null Hypothesis, 
: = 7
Alternate Hypothesis, 
: > 7
The parameter that is being tested here is the population standard deviation (). So, the null hypothesis states that the population standard deviation is equal to 7 while on the other hand, the alternate hypothesis states that the population standard deviation is greater than 7.
The above hypothesis test is right-tailed because in the alternate hypothesis, greater than sign is there which means that if the test statistics will be more than the critical value, then the null hypothesis will be rejected.
In the triangle, the fact that wee are given 2AX = 3XD isn't enough to prove similarity.
<h3>How to explain the triangle?</h3>
a. In the question, we are given 2AX = 3XD. An arbitrary triangle AXB can be drawn where one extends AX and choose a point D on the extended line in order for 2AX = 3XD. Also, extend BX and choose a point C on the line so that 2BX = XC. Even though they both satisfy the condition, they're not similar.
b. We are given that AX/BX = DX/CX. When this is rearranged, we'll have AX/DX = BX/CX. In this case, let AX/DX = k. DX and AX will align upon rotation of 180°. The triangle can then be dilated by a factor of k. This brings about the mapping of triangle DXC to AXB. Therefore, the original triangle DXC is similar to AXB.
c. Lines AB and CD are parallel. Here, the dilation moves line CD onto line AB. Here, since the dilation moves D to a point on ray XA, D must move to A. Therefore, the rotation of triangle DXC is similar to AXB. Therefore, DXC is similar to AXB.
d. Here, angle XAB is congruent to angle XCD. This shows similarity and in this case, XCD is similar to XAB.
Learn more about triangles on:
brainly.com/question/28021872
#SPJ1
The graph of 2n^2 +5n -25 opens up because the coefficient of n^2 is positive.
____
The statement 2n^2 +5n -25 = 0 defines two values of n.
Answer:
Step-by-step explanation:
7/11 as a percent is 63.64% rounded to the nearest hundredth. 7÷11*100=63.64
