Answer:
The ratio of boys to girls to 5:7
Let the number of boys be 5x
Let the number of girls be 7x
5x = 30
x = 6
Now just plug in 6 for the x in 7x
and number of girls 7 x 6 = 42
sin α = opposite leg/ hypotenuse
For ΔABC,
sin A = |BC|/|AB|
sin A = 12/37
The blank spaces in the task content can be filled with; Substitution property, 90° and subtraction property.
<h3>What are the missing statements in the proof?</h3>
Since it follows from the vertical angles theorem that angle 1 = angle 4 as they are congruent.
Additionally, angles 1 and 2 are said to be complementary and hence, the sum of their measures is equal to 90°.
Finally, by virtue of the subtraction property of equality, the measure of angle 2 is; 90° - 40° = 50°.
Read more on complementary angles;
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Answer:rhombus
Step-by-step explanation:
<h3>Given</h3>
burned : unburned = 1 : 3
<h3>Find</h3>
burned/total as a percentage
<h3>Solution</h3>
burned : total = burned : (burned + unburned) = 1 : (1+3) = 1 : 4
As a fraction, this is 1/4 = 0.25 = 25%
25% of the total cookies were burned.
_____
"%" is a fancy way to write "/100". You know from place value that 0.25 (twenty-five hundredths) is 25/100, so that can also be written as 25%.