Answer:
Three-fourths
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
∠QSR≅∠XZY ---> given problem
∠QRS≅∠XYZ ---> given problem
so
△QRS ~ △XYZ ----> by AA Similarity theorem
Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
That means
∠Q≅∠X
∠R≅∠Y
∠S≅∠Z
<em>In the right triangle XYZ</em>
Find the tangent of angle X
---> opposite side angle X divided by adjacent side angle X
substitute the given values
Simplify
Remember that
∠Q≅∠X
so
therefore
---->Three-fourths
We have this following information
30-seconds ad = $146000
The manufacturer wants to use one slot of 30-second per segment
Total segment = 20 segment
Total campaign cost = 20×146000 = $2,920,000
Answer:
Step-by-step explanation:
In the normal distribution curve, the mean is in the middle and each line to the left and to the right of that mean represent 1- and 1+ the standard deviation. If our mean is 400, then 400 + 50 = 450; 450 + 50 = 500; 500 + 50 = 550. Going from the mean to the left, we subtract the standard deviation and 400 - 50 = 350; 350 - 50 = 300; 300 - 50 = 250. We are interested in the range that falls between 350 and 450 as a percentage. That range represents the two middle sections, each containing 34% of the data. So the total percentage of response times is 68%. We are looking then for 68% of the 144 emergency response times in town. .68(144) = 97.92 or 98 emergencies that have response times of between 350 and 450 seconds.
Answer:
No.
Step-by-step explanation:
You can not simplify this expression before multiplying it, because no whole numbers go into both 14 and 27, and also no whole numbers go into both, 25 and 27. This is the correct answer to this question.
Hope this helps!!!
Kyle.
The formula for calculating the total interior angle in a
regular polygon is given as:
total interior angle = (n -2) 180
where n is the number of sides and since there are sides:
total interior angle = 360°
To get this angle, we know that it is the summation of all
angles:
360° = angle A + angle C + angle B + angle D ---> 1
Looking closely, we can see that segments BC and AD are
parallel which means that:
angle A + angle C = angle B + angle D ---> 2
Substituting equation 2 to 1:
360 = 2 (angle A + angle C)
angle A + angle C = 180
(x + 16) + (6x – 4) = 180
Answer:
B
