Answer:
Step-by-step explanation:
Find the Supplement to 101
Supplementary angles = 180 degrees
180 = 101 + unknown Subtract 101 from 180
unknown = 79
Because the upper triangle is marked as having 2 equal sides, the left angle is also 79 degrees,
Now the vertex angle is 79 + 79 + y = 180 All triangles have 180 degrees
158 + y = 180 Subtract 158 from both sides
y = 180 - 158
y = 22
y is vertically opposite the vertex angle of the lower triangle. Both the sides are marked as equal, so the angles opposite them are equal as well.
x + x + 22 = 180 Combine
2x + 22 = 180 Subtract 22 from both sides.
2x = 180 - 22
2x = 158 Divide by 2
x = 158/2
x = 79
Step-by-step explanation:
<h3>
6.) 80x²y</h3>
Prime factors of :
• 80 = 2 × 2 × 2 × 2 × 5
• x² = x × x
• y = y
• 80x²y = <u>2 × 2 × 2 × 2 × 5 × x × x × y</u>
<h3>
7.) 56x³y²</h3>
Prime factors of :
• 56 = 2 × 2 × 2 × 7
• x³ = x × x × x
• y² = y × y × y
• 56x³y² = <u>2 × 2 × 2 × 7 × x × x × x × y × y</u>
<h3>
8.) 81xy²</h3>
Prime factors of :
• 81 = 3 × 3 × 3 × 3
• x = x
• y² = y × y
• 81xy² = <u>3</u><u> </u><u>×</u><u> </u><u>3</u><u> </u><u>×</u><u> </u><u>3</u><u> </u><u>×</u><u> </u><u>3</u><u> </u><u>×</u><u> </u><u>x </u><u>×</u><u> </u><u>y </u><u>×</u><u> </u><u>y</u>
#CMIIW ^^
It looks like you are good up to problem 4 so I will start there. I believe this is practice worksheet featuring the pyth. theorem. The pyth. theorem is used to find the length of sides in a right triangle notable the hypotenuse (side opposite of 90 degree angle).
4. The monitor is a rectangle but that does not stop you from constructing a right triangle. The smaller lengths are 16 in and 12 in respectively. The hypotenuse of the triangle is the diagonal of the rectangle. To find the length use the pyth. theorem.
diagonal^2 = 16^2+12^2
diagonal = 20 in
7. You know the speeds of both trains and the time spend traveling. You know they are traveling at a 90 degree angle so you can use pyth. theorem. But wait... you need to find the distances traveled for both trains. You can find that though because speed x time = distance.
50mph x 3hrs = 150mi
40mph x 3hrs = 120mi
The distance between the trains after 3 hours is the hypotenuse which can be determined by pyth. theorem.
distance^2 = 150^2+120^2
distance = 192 mi approx.
8. First find length of one piece of wiring. Use pyth theorem. Actually 3,4,5 pyth. triplet in which 5 is the hypotenuse. So you have 5 ft for the length of one piece of wiring. How many pieces of wiring do you need? Well, each tree needs 3 pieces and there are 6 trees so you need 18 pieces.
18 x 5 = 90 ft of wiring
From the work I see, you have a great understanding of the pyth. theorem. Keep it up!
Answer:
B; Subconjunto
Step-by-step explanation:
Aquí, se nos pide que seleccionemos el término que define un conjunto con sus elementos que pertenecen a un conjunto más grande.
La respuesta correcta es que el conjunto más pequeño es un subconjunto del conjunto más grande.
Esto significa que el conjunto más pequeño es parte del conjunto más grande, lo que lo convierte en una subdivisión del conjunto más grande
Its 181.3 u just put p and r