Answer:
<u>There are 18 girls in a group that has 16 boys.</u>
Step-by-step explanation:
1. Let's review the information given to us for solving the question:
Number of girls in the grade = 81
Number of the boys in the grade = 72
Number of students in the grade = 81 + 72 = 153
2. Let's find the number of girls in a group that has 16 boys.
For getting that number we will use the Rule of three simple, this way:
Number of girls in a group that has 16 boys = (81 * 16)/72
Number of girls in a group that has 16 boys = 1,296 / 72
<u>Number of girls in a group that has 16 boys = 18</u>
<u>There are 18 girls in a group that has 16 boys.</u>
Answer:
SAS theorem
Step-by-step explanation:
If 
and m∠ECD = m∠BCA, then the triangles are similar by the SAS theorem.
So, and m∠ECD = m∠BCA because vertical angles are congruent
Therefore ΔECD is similar to ΔBCA by SAS theorem
Answer:
Option C
Step-by-step explanation:
If a line passes through a point, then that point is called a solution to the line's equation. Substituting the x and y values of that solution into the equation will give a true statement. So, to find out which option is correct, we can substitute the x and y values of (-4.5, 10) into each equation and see if the result is a true statement.
Let's try this with option C. To make things easier, convert -4.5 into decimal form: 
. Substitute for x and 10 for y in the equation, then solve:
10 does equal 10, so this is a true statement. Option C is the right answer.
x=10
Step-by-step explanation:
7x - 5=65
+5 +5 so the 5's cancel so add 5 to 65
7x =70 because you add 5 to 65 to get 70
7x 7
7 x cancels out so you answer will be
x=10
The base is 3+(x), altitude is x so substitute. Now we know the area of a triangle is base X height X 1/2. Substitute again! 1/2 (3+x)(x)=35. Multiply both sides by 2 to cancel out the 1/2. Now you have (x)(x+3)=70 and you have to foil out the left side x^2+3x=70. Subtract 70 on both sides x^2+3x-70=0. Find two numbers that multiply to -70 and add to 3. Solve (x+10)(x-7)=0. the x value is 7. since you can't have negative length values. Substitute 7 into 3+x for the base so you know the base is 10 and the height is 7.
