Answer:
x = 16
m<Y = 34°
Step-by-step explanation:
∆XYZ is an isosceles ∆. An isosceles ∆ has two equal sides, as well as the bases of the isosceles triangle are congruent. In this case, therefore:
<X = <Z
(6x - 23)° = (4x + 9)
Solve for x
6x - 23 = 4x + 9
Collect like terms
6x - 4x = 23 + 9
2x = 32
Divide both sides by 2
x = 16
m<Y = 180° - (m<X + m<Z) (sum of ∆)
m<Y = 180 - ((6x - 23) + (4x + 9))
Plug in the value of x
m<Y = 180 - ((6(16) - 23) + (4(16) + 9))
m<Y = 180 - (73 + 73)
m<Y = 34°
Answer:
B - 600 words in 12 minutes
Step-by-step explanation:
So most of this has to do with division. So let's look at answer one
320 words in 8 mins
320/8 = 40 words per minute.
600 words in 12 minutes
600/12 = 50 words per minute
350 words in 8 minutes
350/8 = 35 words per minute
And finally, 225 words in 5 minutes
225/5 = 45 words per minute. Thus, the answer is B
1 hundred, 8 tens, and 2 ones
Answer:
cos=24/25
tan=7/24
Step-by-step explanation:
sin=opposite/hypotenuse
therefore 7 is the opposite and 25 is the hypotenuse.
using pythagorean theorem we can find the adjacent. i.e hypotenuse squared= sum of adjacent squared and opposite squared.
h^2= a^2+ O^2
25 squared - 7 squared= 576
which is equal to 24 squared.
therefore adjacent=24
cos=adjacent/hypotenuse
cos=24/25
tan=opposite/adjacent
tan=7/24.
