Answer:
1.45
2.61
3.33
4.108
5.98
6.82
7.52
8.142
9.36
10.64
Step-by-step explanation:
Use rule that a straight line is 180 and a right angle is 90
Answer:
The answer is 3) 40.
Step-by-step explanation:
since you're working with the Pythagorean theorem, you should know that a^2+b^2=c^2, therefore, we know that we only have two sides. we have a and c. we know that a = 42 and c = 58, giving us the equation of 42^2+b^2=58^2,
we want to find b!
so we would simply subtract the two.
58^2 - 42^2 = b
b = 1600
now we want to square root,
b = sqrt1600
which in the end, gives us the answer of 40.
The way you should go about solving this really depends on how your teacher taught you...However, here's what I would recommend...
You know that 1/2 an hour is equal to 30 minutes, and 3/4 of an hour is equal to 45 minutes.
Using this you can then solve for how many pages she read per minute by dividing the number of pages read by the number of minutes read:11 pages/ 30 minutes to give you Monday's reading speed,and18 pages/ 45 minutes to give you Tuesday's reading speed.
Next, to calculate a percentage increase you need to do the following:
1. Determine the difference between the speeds (this means you will subtract Monday's reading speed from Tuesday's reading speed.)
2. Next you take that number and divide it by Monday's reading speed.
3. Multiply that answer by 100 to get the percentage.
I'm not going to tell you the speeds, as you should try to attempt to solve it by yourself, and I'm sure you need to show your work. I will however tell you that you should find there was a 3.3% increase from Monday to Tuesday.
If you need more help, let me know!
Ok so the lines with two triangles are parralel to eachother. The lines with one are parallel to eachother.
The angle of 109° and angle of z° equal eachother. Z=109°
Since 109°, 33° and y° form a triangle, the sum of the angles will equal 180. Add 109 and 33 to get 142. Subtract 142 from 180 to get y°=38°.
Since z=109, this means that the triangle is congruent with the other. Since the congruent triangles are in a rhombus, then the angles are flipped. Thus, angle x =33°.
z=109°
y=38°
x=33°
