I think the answer is 95°
Answer/Step-by-step explanation:
a. Angle y is vertically opposite the angle that measures 80°. Vertically opposite angles are said to be equal to each other, therefore, y = 80°
x + y + 50° = 180° (sum of angles in a ∆)
x + 80° + 50° = 180 (substitution)
x + 130° = 180°
x = 180° - 130° (subtracting 130 from each side)
x = 50°
b. x + 50° = 120° (sum of the 2 opposite interior angles in a ∆ = the exterior angle of the ∆)
x = 120 - 50 (subtracting 50 from each side)
x = 70°
y + x + 50° = 180° (sum of angles in a ∆)
y + 70° + 50 = 180° (substitution)
y + 120° = 180°
y = 180 - 120 (subtracting 120 from each side)
y = 60°
Answer:
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Answer is there are 40 girls in a class of 64 pupils.
Step-by-step explanation:
24 boys = 3: (So 8) a Ratio of 5 = 5x8 = 40, so Answer is there are 40 girls in a class of 64 pupils.
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Which statement regarding the graph is true? Which of the following statements is true?
Question:
The store sold 4,000 fewer units in November than in August.
Answer:
FALSE.
Explanation:
Number of units sold in November = 3000
Number of units sold in August = 6000
difference in both = 6000-3000= 3000
which not same as 4000 hence wrong
Question:
More customers prefer chocolate than strawberry and vanilla combined.
Answer:
FALSE.
Explanation:
value for Chocolate is 38% which is clearly less than combined value of strawberry (30%) and vanilla (22%). which is (30+22=52%)
Question:
Yogurt sales had a decreasing trend during the last four months of 2011.
Answer:
TRUE
Explanation:
Graph is going down ward for the last four months (sept to Dec) which means decreasing sales.
Question:
The median number of ounces sold from 3 to 4 p.m. was more than the median number sold from 7 to 8 p.m
Answer:
FALSE.
Explanation:
It is not true for all Stem values.
Like when stem =1, then (3 to 4 p.m.) has median =0
but for (7 to 8 p.m) has median 6 which is more than 3 to 4 pm
Assuming you want an expression for the possible total area of the patio: if "completed" would be a rectangle of dimensions n, m: each must be >=3 to allow for octagonal corners. But each of the 4 corners must be missing, that's diagonals comprising (1/2)a^2, (1/2)b^2, (1/2)c^2, and (1/2)d^2, where a,b,c, and d must be variously limited and co-limited so as to allow at least 1 linear side of the original rectangle to be exposed. So A = (n*m)-(1/2)a^2-(1/2)b^2-(1/2)c^2-(1/2)d^2 as an expression.
Now, imagine replicating your possible (potentially irregular) octagons onto a plane and juxtaposing them so as to create a paved network. What geometric properties might such a network have? You now have a miniscule idea what nature does with silicate networked minerals, except that takes place in 3-D, with tetrahedra of SiO4 .
