Answer:
∠a = 39°
∠b = 129°
Step-by-step explanation:
Vertical angles are congruent. An exterior angle of a triangle is equal to the sum of the remote interior angles.
<h3>Application</h3>
Angle y and angle 'a' are vertical angles, so congruent.
∠a = ∠y = 39°
The angle marked 'b' is an exterior angle to the triangle. Its remote interior angles are 'a' and the one marked 90°.
∠b = ∠a +90° = 39° +90°
∠b = 129°
Answer:
(4,5)
Step-by-step explanation:
Initial location of Joshua in the shopping mall is expressed according to the coordinate (12, -5)
If he undergoes a translation of 8 steps to the left and 10 steps upwards, this means that he moves 8 steps towards the negative x axis and 10 steps towards the positive y axis. The new coordinate will be gotten by adding the translation (-8, 10) to the initial coordinate as shown
New position = (12, -5) + (-8,10)
New position = (12-8, -5+10)
New position = (4, 5)
Hence the coordinates that corresponds to the location of the ground floor when undergoing a translation of 8 steps to the left and 10 steps upwards will be (4,5)
Answer:
294 square units
Step-by-step explanation:
35^2-21^2=a^2
a^2=784
square root 784=28
21*28/2=294
Answer=294
Answer:
£23
Explanation:
6x10=60
2x1.5=3
3.14x2^2=12.566
60-3-12.566=44.433
44.43/10=4.43
5 bags
5x4.60=23
=£23
4x + 17.50 = 53.50
the prices of each shrub would be 9 dollars each