Answer:
∠G = 37°
∠H = 143°
Step-by-step explanation:
As we know ,
Sum of supplementary angles is 180 degrees.
Hence sum of ∠G and ∠H is also 180 degrees
∠G + ∠H = 180
Substituting the given values in above equation, we get -
∠G = (x + 4)° = (33 + 4)° = 37°
∠H = (4x + 11)° = (33*4 + 11)° = 143°
Answer:
2.7 in²
Step-by-step explanation:
similar triangles have the same angles, and all side lengths (or other distances) of one triangle have the same scaling factor to the side lengths of the other triangle.
so, we know the relation between the 2 baselines is 2/3, as this is the factor to turn the baseline of the large triangle into the baseline of the smaller triangle.
in other words
EF = BC × 2/3
2 = 3 × 2/3
correct
how do we calculate the area of a triangle ?
Area = baseline × height / 2
from BAC we know
Area = 6
baseline = 3
height = ?
6 = 3 × height / 2
12 = 3 × height
height = 4
aha !
now, EDF has a height too that we need to calculate is Area. and this height has the same scaling factor compared to the larger triangle as the side lengths : 2/3
so, for EDF we know
Area = ?
baseline = 2
height = 4 × 2/3 = 8/3
therefore, the area is
Area = (2 × 8/3) / 2 = (16/3) / 2 = 8/3 = 2.66666... ≈ 2.7
the shirt answer would be :
we know from the 2 baselines that the scaling factor for each distance is 2/3.
for the area we need to multiply 2 distances, so that means we have to multiply both by 2/3. and so on the formula for the area we have to use 2/3 × 2/3.
2/3 × 2/3 = 4/9
=>
Area small = Area large × 4/9 = 6 × 4/9 = 24/9 = 8/3 ≈ 2.7
Answer:
c: f(x) = 2(4^x)
Step-by-step explanation:
the table shows that the function is exponential rather than linear.
To solve this problem, first we have to figure out how many total rolls Hanna buys.
3 packs*36 rolls in each pack = 108 total rolls
2 packs*24 rolls in each pack = 48 total rolls
108 rolls + 48 rolls = 156 rolls.
Next, it says that Hanna uses 8 rolls of film. To model this in our expression, we need to subtract 8 rolls from our total amount.
156-8 = 146 rolls
Hanna has 146 rolls left.
