I don't have the ranges of numbers to see which range so clearly it's impossible to answer
Answer:
Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.
Step-by-step explanation:
We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.
Triangle ABC:
Measure of angle A= 60°
Measure of angle C= 40°
Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°
Triangle DEF
Measure of angle E= 80°
Measure of angle F= 40°
Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°
The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.
The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.
Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.
Option B
5 hundredths is not the way to express 0.50
<h3><u>Solution:</u></h3>
Given that Three of the choices are ways to express 0.50
To find: wrong option
Let us first write 0.50 in different ways
<h3><em><u>
To convert a Decimal to a Fraction follow these steps:
</u></em></h3>
Step 1: Write down the decimal divided by 1, like this: decimal 1.
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. ...
Step 3: Simplify (or reduce) the fraction.
means 50 hundredths
<h3>Therefore option D is correct</h3>
On simplifying we can write,
means one half
<h3>Therefore option A (one half) is correct</h3>
Similarly, \frac{5}{10} means 5 tenths
<h3>Therefore Option C is also correct</h3>
Thus the wrong option is B
<em><u>Justification:</u></em>
5 hundredths can be written as:
Therefore option B is wrong
In the standardized calculations used in the United States, c is given by the formula<span>: For example, for a home loan of $200,000 with a fixed yearly interest rate of 6.5% for 30 years, the principal is , the </span>monthly<span> interest rate is , the number of </span>monthly payments<span> is , the fixed </span>monthly payment<span> equals $1,264.14.</span>
