Answer:
alternate interior angles theorem
Step-by-step explanation:
The alternate interior angles theorem states that when two parallel lines are cut by a transversal, the resulting angles produced are a pair of congruent alternate interior angles.
Given the image attached below, both line k and line l are parallel to each other and also, line t is the transversal, therefore the resulting congruent alternate interior angles produced are:
∠ 4 ≅ ∠6, ∠1 ≅ ∠7
Answer:
A) Roses
, C) Alfalfa
Step-by-step explanation:
Each ladybug symbol = 5 ladybugs
Roses: 35 ladybugs
Lettuce: 15 ladybugs
Alfalfa: 25 ladybugs
Grape vines: 10 ladybugs
10 ladybugs go from lettuce to alfalfa. You end up with:
Roses: 35 ladybugs
Lettuce: 5 ladybugs
Alfalfa: 35 ladybugs
Grape vines: 10 ladybugs
Roses and alfalfa end up with 35 ladybugs each.
Answer: A) Roses
, C) Alfalfa
Answer:
7.56 km²
Step-by-step explanation:
Given data:
Width of the fjord, w = 6.3 km
Retreated terminus of the glacier between may 2001 and June 2005, d = 7.5 km
thus, the length lost , y = 7.5 - 6.3 = 1.2 km
now, the area is given as:
A = Length × width
on substituting the values, we get
A = 1.2 × 6.3
or
A = 7.56 km²
Hence, the surface area lost by the glacier in the fjord is 7.56 km²
2,000 and 200 are the values of the 2s in 42256
Answer:
Dawn has 32 pens.
Step-by-step explanation:
- Let No. of pens Alice has = A
- Let No. of pens Maurice has = M
- Let no of pens Paul has = P
- Let no. of pens Suzy has = S
- Let no of pens Dawn has = D
Given :
- A = 7M
- P = 2/3 (A + S)
- D = P + 12
- S = 1/2 M
- If S = 2 {Given}
- M = 4 [∵ S = 1/2 M → M = 2S = 2X(2) ]
- A = 28 [ ∵ A = 7M → A = 7 x 4 ]
- P = 20 [∵ P = 2/3 (A+S) → P = 2/3 (28 + 2) = 2/3 (30) ]
- D = 32 [ ∵ D = P + 12 → D = 20 + 12 ]
