answer is 25
Step-by-step explanation:
for something like this you need to use the law of sins. First identify all the angles. There is a 90 degree angle and a 59 degree angle and those are clear. the missing angle is = 59 + 90 = 149
since a triangle has 180 degrees in total you say 180 - 149 = 31. the missing angle is 31 degrees. so we give the angles names. angle with 59 degrees will be angle A, 90 will be B and 31 will be C. So now we just give the sides names. let's replace that x with an a since it's across angle A. the side along angle B will be named b and the side along angle C will be named c. so you say:
Sin A/ a (sin A over a) = Sin B/b = Sin C/c
Sin A is what we are looking for so we say
59 degrees over/ x = sin 31 degrees/ 13 (we leave out the 90 degrees since we don't know the side and also we are not interested in it)
now we do cross multiplying.
say x ×sin 31 degrees = 13× sin 59
now divide these by sin 31
x = 13 × sin 59 ÷ 31 = 25
Answer:
y=3x-3
Step-by-step explanation:
all you need to do is get the -3x to the other side of the equal sign
Answer:
30mph
Step-by-step explanation:
Kyle rides his bike 30mph,
15mph x 2hrs = 30 mph.
15 miles per hour x 3 is 30mph total.
Hope this helps!
Answer:
Step-by-step explanation:
Hello
<u>Let's note the original speed of the car v</u>
it means that in 1 hour he is going v miles
so to go 200 miles it takes ( in hour)
If the speed of the car is v+5 than to go 200 miles it takes (in hour)
and this time is one hour less so we can write
We can multiply by v(v+5) both parts of the equation so
Only one is positive and this is is
So the original speed is 29.22144... mph
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
AC = AB + BC
18 = (2X - 4) + (3X + 2)
18 = 5X - 2 ( add/subtract like terms)
20 = 5X (-2 take over otherside - 18 + 2)
X = 4
SUB X INTO AB AND BC
AB = 2(4) - 4 = 4
BC = 3(4) + 2 = 14
