Answer:
x = 9, ∠ 1 = ∠ 2 = 66°
Step-by-step explanation:
If r and s are parallel then
∠ 1 = ∠ 2 ( corresponding angles ) , then
84 - 2x = 93 - 3x ( add 3x to both sides )
84 + x = 93 ( subtract 84 from both sides )
x = 9
Then
∠ 1 = 84 - 2x = 84 - 2(9) = 84 - 18 = 66°
∠ 2 = 93 - 3x = 93 - 3(9) = 93 - 27 = 66°
Step-by-step explanation:
so, we need to find the smallest common multiple of 36 and 42.
that is the smallest number I can divide both by 36 and 42 without remain.
let's use the method of basic prime factors (we start with the smallest fitting prime number - 2 is a prime number too - and divide as often as possible, then continue with the next bigger prime number, until there is nothing left to divide) :
36 / 2 = 18
18 / 2 = 9
9 / 3 = 3
3 / 3 = 1 finished
therefore,
36 = 2×2×3×3
42 / 2 = 21
21 / 3 = 7
7 / 5 does not work
7 / 7 = 1 finished
therefore,
42 = 2×3×7
to find the smallest common multiple (SCM) we check the maximum length of each prime factor sequence.
and we see 2 times 2, 2 times 3 and 1 time 7.
so, the SCM = 2×2×3×3×7 = 252.
there is no smaller number that can be divided by both 36 and 42 without remain.
so, the rod must be at least 252 cm long to cut it into equally long pieces of either 36 cm (7 pieces) or 42 cm (6 pieces).
Answer:
m<ABC=94°
m<BCD=25°
m<ACB=43°
Step-by-step explanation:
To find <mBCD
m<ABD=133°, so m<CBD=133° too.
A triangle is equal to 180°.
22°+133°=155°
80°-155°=25°
To find <mACB
You first need to know triangle ACD measurements.
m<ADC=44° (22°+22°)
Then you take the two 25 and add them.
25°+25°=50°
50°+44°=94°
180°-94°=86°
86°÷2=43°
To find m<ABC
43°+43°=86°
180°-86°=94°
Answer: Have a good day. I’m sorry you have to go through this, my head already hurts and I am just lōoking at it.
Daddy daddy daddy daddy and daddy
