Answer:
38
Step-by-step explanation:
Line KP is equal to 180 degrees.
The square on angle OLM means that angle is equal to 90 degrees.
Let angle PLO be represented as x.
That would make our equation be 52 + 90 + x = 180.
Start simplifying down to get x by itself.
180 - 90 = 90
52 + x = 90
90 - 52 = 38
x = 38
B.98
Explanation: Do addition and subtraction to get to the total number of Black footed. You’ll subtract 45 by 115 to get the Red-footed one-headed then add that 70 to the already known 69 to get total Red-footed. Finally subtract the total Red-Footed from the final total to get the total Black-footed.
Answer:
x=8
Step-by-step explanation:
We know that the sum of two opposite interior angles equals one exterior angle
So
8x-5+27°=9x+14
8x+22=9x+14
22-14=9x-8x
x=8
Answer: (n + 5)(n - 5)
Explanation: In this problem, we have a binomial that's the difference of two squares because n² and 25 are both perfect squares and we are subtracting or taking the difference of these two squares.
Since the difference of two squares factors as the product of two binomials, we can setup our parenthses and in the first position, we use the factors of n² that are the same which are n · n.
In the second position, we use +5 and -5 as our factors of -25.
So our answer is (n + 5)(n - 5).
Answer:
1. No
2. No
3. Yes
4. Yes
Step-by-step explanation:
The diagram has been attached
The total angle in a triangle is 180°
<CAD=45°
<ACD=90°
Therefore <ADB=45°
1. ∠ADB = 30° no
ADC = 90 - 45 = 45
∠BDC = 90 - 65 = 25
∠ADB = 45 - 25 = 20
2.△ABD ∼ △ACD no going
by law of sines
3.CD = 33.7 centimeters => yes
4.BD = 37.2 centimeters => yes