Answer:
number of people=4+1
=5
144/5=28.5
28×5=140
Step-by-step explanation:
how many pencils will be left over?=144-140
=4
Answer: 1
Step-by-step explanation: Whenever you take the power of a power, the find the answer you can multiply the two exponents, for example:
(x^3)^4 = x^12
We will use that here.
a^8a^6 = a^14
((a^14)^1/7) = (a^2)/a^2
Our answer is 1
8. When you’re making subsets, you have two options for each element in the original set: you can either include it or not. This gives you 2 x 2 x 2 = 8 possible ways you can put a subset together from the three elements in {3, 4, 5}.
Answer:
first of all,
Step-by-step explanation:
In triangle ABC one side equal and two sides equal
Step-by-step explanation:
We are given a prism whose base is square with sides 8 in and height 12 in.
If we take cross section through vertices A, B and C
We will get a cross section as triangle.
In triangle ABC, sides are AB, BC and AC
AB is diagonal of top square whose side 8 in.
AC is face diagonal of front face.
BC is face diagonal of right face.
AC=BC≠AB
Hence, In triangle ABC one side equal and two side equal
Hope this helps!!
Answer:
m∠1=80°, m∠2=35°, m∠3=33°
Step-by-step explanation:
we know that
The sum of the interior angles of a triangle must be equal to 180 degrees
step 1
Find the measure of angle 1
In the triangle that contain the interior angle 1
∠1+69°+31°=180°
∠1+100°=180°
∠1=180°-100°=80°
step 2
Find the measure of angle 2
In the small triangle that contain the interior angle 2
∠2+45°+(180°-∠1)=180°
substitute the value of angle 1
∠2+45°+(180°-80°)=180°
∠2+45°+(100°)=180°
∠2+145°=180°
∠2=180°-145°=35°
step 3
Find the measure of angle 3
In the larger triangle that contain the interior angle 3
(∠3+31°)+69°+47°=180°
∠3+147°=180°
∠3=180°-147°=33°
