Answer: m∠E = 55°
Step-by-step explanation: If a triangle has two equal sides, it is called Isosceles. Another characteristics of this type of triangle is that the angles opposite the equal sides are also congruent.
Triangle ΔEFG has two sides with approximately the same length:
≈ 
So, it is an isosceles.
Therefore the opposite angles are m∠E and m∠F.
m∠E = m∠F
m∠E = 55°
Angle at vertex E is 55°.
Answer:
10 cm²
Step-by-step explanation:
The area of a square = s², where s is the measure of the side
To calculate the side use Pythagoras' identity
Consider the lower side with right triangle legs 3 and 1, then
side² = 3² + 1² = 9 + 1 = 10 ( take the square root of both sides )
side =
, thus
area = (
)² = 10 cm²
There are 4 terms in the expression.
Terms are each of the entities.
4x, + 3y , -12x, +5
Answer:
At least 67 votes
Explanation:
We were given the following information:
There are 100 senators in the US senate,
At least 2/3 of them vote yes in order to ratify or approve, a treaty
The least number of votes needed is calculated below:

Therefore, they must have at least 67 votes to ratify a treaty
Ok so differentiate the function, then set it as an inequality, if the function is increasing the gradient is positive >0 (so just make the differentiated function more than 0 to solve for the set of values of x) :)