Answer:
90 degrees
Step-by-step explanation:
angle ABC is a right angle
Answer:
∠x = 90°
∠y = 58°
∠z = 32°
Step-by-step explanation:
he dimensions of the angles given are;
∠B = 32°
Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;
∠A = 90°
∠B + ∠C = 90° which gives
32° + ∠C = 90°
∠C = 58°
∠x + Interior angle of the square = 180° (Sum of angles on a straight line)
∠x + 90° = 180°
∠x = 90°
∠x + ∠y + 32° = 180° (Sum of angles in a triangle)
90° + ∠y + 32° = 180°
∠y = 180 - 90° - 32° = 58°
∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)
58° + ∠z +90° = 180°
∴ ∠z = 32°
∠x = 90°
∠y = 58°
∠z = 32°
Answer:
(1,7)
Step-by-step explanation:
SImply replace x by (1) in the expression to find the value of h:
h(1) = 4 (1) + 3 = 4 + 3 = 7
so for x = 1, h is 7 , which is written as: (1, 7)
Answer:
5P5×20P15
Step-by-step explanation:
A school bus has 25 seats, with 5 rows of 5 seats.
15 students from the first grade and 5 students from the second grade travel in the bus.
second-grade students occupy the first row.
The 5 students of second grade are to be seated in 5 seats,this can be done in:
5P5 ways where P is the permutation
Now 15 students from first grade are to be arranged in remaining 20 seats
This can be done in:
20P15 ways
Hence, total ways student can be seated is:
5P5×20P15
