Answer:
∠1 = ∠3 = 54°; ∠2 = 36°
Step-by-step explanation:
Each of the triangles is isosceles. Triangles opposite each other are congruent, so ∠2 is congruent to 36°.
∠2 and ∠3 are complementary, so ∠3 is 54°. Since ∠3 is congruent to ∠1, it, too, is 54°.
Answer:
0.60
Step-by-step explanation:
Probability that the customer is not a poor risk = 1 - probability that the customer is a poor risk
Firstly, let’s calculate the probability of being a poor risk.
From the given data the number of poor risks = 14229-7362-1190 = 5677
So the probability of being a poor risk = 5677/14229 = 0.399
Thus, the probability that the customer is not a poor risk = 1-0.399 = 0.601 which to 2 decimal places = 0.60
Answer:
122.5 cm²
Step-by-step explanation:
Area of this trapezium:
1/2 × 35 × 7
= 245/2 = 122.5 cm²
6 x² y³ / 24 x³ y²
Divide numerator
and denominator by x² : 6 y² / 24 x y²
Divide numerator
and denominator by y² : 6 / 24x
Divide numerator
and denominator by 6 : <em> 1 / 4x </em>
Julia’s score is <em>y</em> and Tina’s score is <em>y</em> + 6.
Step-by-step explanation:
Let us take Julia’s score be <em>y</em>.
First Tina scored 4 points more than Julia, so the expression is <em>y</em> + 4.
Then, Tina earned 2 points as extra credic, now the expression becomes
(y + 4) + 2 = y + 6.
Hence Julia’s score is <em>y </em>and Tina’s score is <em>y</em> + 6.