Answer:
please mark brainliest ! It means that dilations map angles to angles, and the dilation preserves the measures of the angles. dilations. Dilations map lines to lines, rays to rays, and segments to segments.
Answer:
Step-by-step explanation:
step 1
<u><em>Simple interest</em></u>
we know that
The simple interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
step 2
<u><em>Interest compounded annually</em></u>
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
step 3
Find the differences between the two final amounts
First let's find the length of the last side. We can do this by adding AB and BC together, then subtracting this amount from the perimeter of Triangle ABC, 22 cm.
ABC - (AB + BC) ⇒ 22cm - (8cm + 5cm)
22cm - 13cm = 9cm
The hypotenuse is always the longest side of a triangle, so we know that the side we figured out is the hypotenuse. Now we can use the Pythagorean Theorem to see whether the triangle is a right triangle.
Pythagorean Theorem: a² + b² = c², where a and b are legs and c is the hypotenuse.
If a² + b² do equal c², then the triangle is a right triangle.
8² + 5² = 9²
64 + 25 = 81
89 > 81
The triangle is not a right triangle, but we know that it is obtuse since a and b together are longer than c.
Answer:
4-
30 minutes --- 562.5 miles
240 minutes --- 300 miles
480 minutes --- 0 miles
600 minutes --- 150 negative miles (they would have already arrived).
5- 240 CDs will weigh 720 ounces.
Step-by-step explanation:
4- Given that Bryan family's summer house is 600 miles away, and after 30 minutes, they are 562.5 miles left to their destination, to determine the distance in the following minutes the following calculations must be performed:
30 minutes --- 562.5 miles
240 minutes --- 300 miles
600 - 562.5 = (37.5) / 30 = (1.25) x 240 = 300 miles
480 minutes --- 0 miles
600 - 562.5 = (37.5) / 30 = (1.25) x 480 = 600 miles
600 minutes --- 150 negative miles
600 - 562.5 = (37.5) / 30 = (1.25) x 600 = 750 miles
5- Given that Jasmine mails 2 CDs in an envelope and the envelope weighs 6 ounces, to calculate the weight of 240 CDs the following algebraic calculation must be performed:
6/2 x 240 = X
3 x 240 = X
720 = X
Thus, 240 CDs will weigh 720 ounces.
180
This is because 12x5x3 = 180
