Constructing a triangle for the given data, we get the triangle as shown in the image below. Since the triangle is an isosceles triangle, the two legs AC and BC will be equal in length. Since the length of the sides is equal, the opposite angles will also be equal. So the base angles for the triangle are equal.
We get two similar right angled triangles ADC and BDC. For triangle ADC, AD = 35cm, DC = 75cm. Tangent of angle DAC can be written as:
Angle DAC is equal to tangent inverse of 15/7 which equals 65 degrees, rounded of to nearest whole degree.
Angle DBC = DAC = 65 degrees
Thus the base angles for the given isosceles triangle will be 65 degrees each, rounded of to nearest whole degree.
Answer:
Shania has read the most pages.
Step-by-step explanation:
Following the formula y = mx + b.
Kevin already read 45 pages.
y = mx + 45
He reads 20 pages per hour, since it has per hour, we put it has "m"
y = 20x + 45
Shania already read 5 pages
y = mx + 5
Shania reads 25 pages per hour
y = 25x + 5
We need to find out how many pages they read after 20 hours, plug 20 into x.
Kevin
20(20) + 45 =
400 + 45 =
445
Shania
25(20) + 5 =
500 + 5 =
505
Shania read 60 more pages than Kevin.