Answer: C) ASA = ASA
Refer to the diagram below. I've used color coding to match up the given statements with the drawing. Note how the red segments are between the blue and green angles. So we use ASA to prove the triangles are congruent.
Answer:
Step-by-step explanation:
Well, what happens when you multiply a number by 10? 1*10 is just 10 of course, 2*10 is 20, 3*10 is 30 and so on. This pattern continues, so if you multiply anything by 10 you take whatever it was and move everything to the next highest "place. so for 2, which starts in the ones place you move it to the tens place. For whole numbers you can think of it as just adding a 0 to the end.
Anyway, for this it's asking what gets multiplied by 10 to get 25,960. Well, since it's a whole number realize that whatever this number was times 10 got a 0 added to it. so just take that last 0 away. 2,596
Another method is dividing by 10, which just does the opposite of multiplying by 10.
Triangle Angle-Sum Theorem: The sum of the measures of interior angles is equal to 180°.
Then
m∠1+117°+33°=180°,
m∠1+150°=180°,
m∠1=180°-150°,
m∠1=30°.
Answer: option A
Step-by-step explanation:
a+b=41
let larger number be a and smaller be b
a=21+b
placing value of a in a+b=41
21+b+b=41
2b=41-21
b=20÷2
b=10
so a=21+10
=31
Answer:
a) 91.4%
b) 37.6%
c) 26.8%
Step-by-step explanation:
For each of these, we'll get a z-score, then use our calculators to find the area using normalcdf (on TI-84, 2nd->VARS->2)
a) z = (9-6.4) / 1.9 = 1.368
normalcdf(-999,1.368) = .914 = 91.4%
b) z = (7-6.4) / 1.9 = .316
normalcdf(.316,999) = .376 = 37.6%
c) normalcdf(.316,1.368) = .268 = 26.8%