Answer:
1. 35
2. 145
3. 55
4. 90
5. 145
Step-by-step explanation:
1. 35: angle 1 and 2 are a linear pair (meaning it is in one line and adds to 180). Since we know angle 2 is 145, ∠1 = 180 - 145
∠1 = 35
2. 145: ∠7 = ∠2 because they are alternate angles and alternate angles are equal
3. 55: ∠7 = ∠5 + ∠4 because vertically opposite angles are equal. We know that ∠5 = 90, hence ∠4 would equal 145 - 90 = 55
4. ∠5 = 90. It is given
5. 145: ∠9 = ∠2 because they are vertically opposite
Answer:
Step-by-step explanation:
The answer is 10b^2
So 4 triangular faces of the pyramid will have total area
<span>= 4 ×<span>12 </span>× base × height = 4 × <span>12 </span>× 34 × 58f<span>t2 </span>= 3944f<span>t2</span></span>
So <span>3944f<span>t2</span></span> of marble cover the faces of the pyramid.
Answer: The answer is (b) [(p∧q)⇒r] ∧ [r⇒(p∧q)].
Step-by-step explanation: Given that The statements 'p', 'q' and 'r' are defined as follows.
p : it is cold,
q : it is humid,
r : it is snowing.
The statement 'it is cold and humid if and only if it is snowing' can be written as
(p∧q) ⇔ r.
We know that r ⇔ s can be written as (r⇒s)∧(s⇒r).
So, (p∧q) ⇔ r can be written as [(p∧q)⇒r] ∧ [r⇒(p∧q)].
Thus, the answer is (b) [(p∧q)⇒r] ∧ [r⇒(p∧q)].
Option A: 
is the solution
Explanation:
The solution of the given inequality is the set of all the possible values of x.
The graph shows the number line in which the shaded region is from the right of -4 and the arrow of solution goes to infinity.
Also, There is a closed circle at the point -4.
This means that -4 is included in the solution set.
The solution to the inequality is the set of all the real values which are greater than or equal to -4.
Thus, the solution is x ≥ -4
Hence, the solution is
