Actually I didn't see the (-5, -27), the answer would be -2.
Answer:
In 3 years, the interest of a sum of rs 3600 at the rate of 5.5% per year be Rs 594.
Step-by-step explanation:
T = ?
R = 5.5%
P = Rs 3600
I = Rs 594
so
T = (I×100)/(P×R)
or, T = (594×100)/(3600×5.5)
or, T = 59400/19800
so, T = 3 yrs
Answer:
80% of the values will occurs above 68.24.
Step-by-step explain
thinking this is right but im sorry if its wrong
Answer:
5000 students appeared in the examination.
Step-by-step explanation:
We solve this question using Venn probabilities.
I am going to say that:
Event A: Passed in Mathematics
Event B: Passed in English.
5% failed in both subjects
This means that 100 - 5 = 95% pass in at least one, which means that 
80% passed in mathematics 75% passed in english
This means that 
Proportion who passed in both:

Considering the values we have for this problem

3000 of them were passed both subjects how many students appeared in the examination?
3000 is 60% of the total t. So



5000 students appeared in the examination.
m∠1 = 30° (by Vertical angle theorem)
m∠A = 80° (by Triangle sum theorem)
m∠D = 80° (by Triangle sum theorem)
The value of x is 7.5 and y is 9.
Solution:
∠ACB and ∠DCE are vertically opposite angles.
Vertical angle theorem:
<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>
⇒ m∠DCE = m∠ACB
⇒ m∠1 = 30° (by Vertical angle theorem)
In triangle ACD,
Triangle sum property:
<em>Sum of the interior angles of the triangle = 180°</em>
⇒ m∠A + m∠C + m∠B = 180°
⇒ m∠A + 30° + 70° = 180°
⇒ m∠A + 100° = 180°
⇒ m∠A = 100° – 180°
⇒ m∠A = 80° (by Triangle sum theorem)
Similarly, m∠D = 80° (by Triangle sum theorem)
In ΔACD and ΔDCE,
All the angles are congruent, so ΔACD and ΔDCE are similar triangles.
<em>In similar triangle corresponding sides are in the same ratio.</em>

Do cross multiplication.
90 = 12x
7.5 = x
Now, to find y:

Do cross multiplication.
9y = 72
Divide by 9, we get
y = 8
Hence the value of x is 7.5 and y is 9.