Angle1 +angle2+angle3=180(property of triangle)
Angle1+angel2=angle3(according to question)
Thus,
Angle3+angle3=180
2*angle3=180
Angle3=90
Means this is a right triangle
Now,we can use formula
Side1^2+side2^2=side3^2
Thus,
4*4+5*5=side3^2
Square root(36)=side3
Side3=6
Answer:
5
Step-by-step explanation:
8 quizzes / 2 weeks = 20 quizzes / x weeks
Cross multiply:
8x = 40
Divide:
x = 5
Harold will have to attend 5 weeks.
When doing improper fractions, you're going to keep the denominator the same. For example in question number 6, there are 18 triangles filled in so the improper fraction would be 18/5. Mixed numbers consist of the number of whole numbers filled and the remainder in the fraction. Therefore number 7, mixed number is 2 3/5 and the improper fraction would be 13/5. I'll list the rest of the answers below:
8.) Mixed: 1 3/5 Improper: 8/5
9.) Mixed: 4 1/4 Improper: 17/4
10.) 5/4, 7/4
12.) 13/8, 7/4, 19/8, 5/2, 21/8
13.) 4/3, 17/9, 7/3
Note: You can simplify improper fractions, this is why you'll get different denominators on the number line questions.
Answer:
48
Step-by-step explanation:
The maximum third side length of a triangle with two sides 5 and 19 is 5+19-1=23. Therefore, the maximum perimeter of a triangle with the two side lengths given is 5+19+23=47.
The smallest whole number larger than this is 48.
Answer:
$29.75
Step-by-step explanation:
$425 × 0.07 = $29.75