According to Figure that is shown below, the correct answer for this problem is:
<span>
B. They are alternate interior angles, so angle 3 also measures 130°. </span>The same happens with 7 and 11. This is an obtuse angle, that is, this kind of angles measures more than 90° but less than 180°.
First join the log4 on the left:
log4( x*(x-3) = log4(-7x+21)
Then x = -7, works: -7*(-10)=70 = -7*(-7)+21
x=-3, 18 = 42, does not work
x=3 0=0 works,
However, when one puts x = -7 in the *original* exression, log4(-7) or log4(-10) do not exist (you know why?). So x= -7 is extraneous.
Now x=3 gives log4(0) on the left and right, which does not exist.
So, C is the answer, both are extraneous. Seem to work but indeed don't work in the *original* equation
The first answer is G. The next one is B.
1) Painting on a Wall:<span> Painters use ladders to paint on high buildings and often use the help of Pythagoras' theorem to complete their work. The painter needs to determine how tall a ladder needs to be in order to safely place the base away from the wall so it won't tip over. In this case the ladder itself will be the hypotenuse. Take for example a painter who has to paint a wall which is about 3 m high. The painter has to put the base of the ladder 2 m away from the wall to ensure it won't tip. What will be the length of the ladder required by the painter to complete his work?
2) you need to come up with a drawing for it.
3)</span>You can calculate it using Pythagoras' theorem:
(5)<span>2 </span>+ (2)2 =
25 + 4 = C2
√100 = C
5.3 m. = C
Thus, the painter will need a ladder about 5 meters high.
hope this helps you
Answer:
Tomas
Step-by-step explanation:
Let's use miles per hour
Maren:<em> 60 miles/hour</em> (It's given to us)
Safiya: 120 miles/3 hours
Let's divide both by three to get to miles/hour.
120/3=40
<em>40 miles/hour</em>
Tomas: 84 miles/1.2 hours
Let's divide both by 1.2 to get to miles/hour
84/1.2=70
<em>70 miles/hour</em>
Cam: 75 miles/1.5 hours
Let's divide both by 1.5 to get to miles/hour
75/1.5=50
<em>50 miles/hour</em>
After comparing all the speeds we can conclude that Tomas drove the fastest.
