Answer:
The three angles of the triangle are 41°, 56° and 83°.
Step-by-step explanation:
The three angles of a triangle are given by 2x + 1, x and x + 15.
Now, we know the property of triangle, that 180° is the sum of all the angles of a triangle.
Hence, (2x + 1) + x + (x + 15) = 180°
⇒ 4x + 16 = 180
⇒ 4x = 164
⇒ x = 41°
So, 2x + 1 = 83° and x + 15 = 56°
Therefore, the three angles of the triangle are 41°, 56° and 83°.
Answer:
2/3 in 3/4 of an hour. that would mean u an extra 1/4 of an hour would give Katie the time to finish up the project
Step-by-step explanation:
Katie, take no breaks when u can get this done in an hour. don't be lazy
Answer:
£631.07
Step-by-step explanation:
Increasing a value by 3% is the same as taking 103% of it - you have the original price (100%) plus an additional 3% of it. Let's call the original price here p. We're told that after a 3% increase, the price goes up to £650. Put another way: 103% of p is £650. In equation form:
To solve for p, we can simply divide both sides of our equation by 1.03 to get
So our orignal amount, to the nearest penny, was £631.07
Answer:
<u>-1 and -5</u>
Step-by-step explanation:
m^2 + 6m + 5 = 0 is factored to: (m + 1)(m + 5) = 0.
The zero product property states that one of the represented parenthesis must equal zero to satisfy the right side of the equation.
(m + 1) = 0
(-1 + 1) = 0
This means that one of the values for m is -1.
(m + 5) = 0
(-5 + 5) = 0
This means that one of the values for m is -5.
<u>Moreover, the value of m by factoring is -1 and -5</u>
Answer:
One cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.
Step-by-step explanation:
