Answer: Part A = (100% - 80%)P = 35, Part B = 140
<u>Step-by-step explanation:</u>
Percentage: Like + Don't like = 100%
80% + Don't like = 100%
<u> -80% </u> <u> -80% </u>
Don't like = 20%
People: 20% of Patrons = Don't Like
0.20 x Patrons = 35
<u>÷ 0.20 </u> <u> ÷ 0.20 </u>
Patrons = 175
<u>Now, let's write the equation we used to get that answer</u>:
Let P represent the total number of patrons, then the equation is:
(100% - 80%)P = 35
= (1.00 - 0.80)P = 35
= 0.20P = 35
= P = 175
<u>Part B: </u>
80% of Patrons = Like
0.80 x 175 = Like
140 = Like
Answer and Step-by-step explanation: Congruent triangles are triangles with the same three sides and same three angles.
There many ways to determine if 2 triangles are congruent.
One of them is <u>ASA</u> or <u>Angle, Side, Angle</u> and it means that if two angles and the included side of one triangle are equal to the corresponding angles and side on the other triangle, they are congruent.
In this case, angle MRQ and angle NQR are equal. The included side of both triangles are the same QR, so it can be concluded that <em><u>triangle QNR is congruent to triangle RMQ.</u></em>
The image in the attachment shows the angles and their included side, which are colored.
Answer:
-4 is the mimumum of y=-3+cos(x+4)
Step-by-step explanation:
The minimum value of y=cos(x) is -1.
The minimum value of y=cos(x+4) is still -1; the +4 inside the cosine function only affected the horizontal shift.
The minimum value of y=-3+cos(x+4) is -3-1 which is -4. This brought the graph down 3 units so if the minimum was previously -1 and it got brought down 3 units then it's new minimum is -4.
Answer:1/2
Step-by-step explanation:
Answer: A.
Step-by-step explanation:
