Answer:
∠1 = ∠3 = 54°; ∠2 = 36°
Step-by-step explanation:
Each of the triangles is isosceles. Triangles opposite each other are congruent, so ∠2 is congruent to 36°.
∠2 and ∠3 are complementary, so ∠3 is 54°. Since ∠3 is congruent to ∠1, it, too, is 54°.
The relation represented by the arrow diagram is {(-3, 4), (-1, 5), (0, 7), (2, 2), (5, 7)}.
Option: C.
<u>Step-by-step explanation:</u>
A function is a relation in which each input value(domain) results in one output value(range). It is represented diagrammatically using the mapping method.
It shows how each element of domain and range are paired. That is like a flowchart it shows the input values marking its corresponding output value.
In the given diagram,
The values given in the left are domain and values given in the right are range.
Thus, -3 marks to 4, then can be written as (-3,4).
Similarly,
-1 marks 5 = (-1,5).
0 marks 7= (0,7).
2 marks 2= (2,2).
5 marks 7 =(5,7).
⇒ The complete points sequence is {(-3, 4), (-1, 5), (0, 7), (2, 2), (5, 7)}.
Answer:
Step-by-step explanation:
Method 1: Taking the log of both sides...
So take the log of both sides...
5^(2x + 1) = 25
log 5^(2x + 1) = log 25 <-- use property: log (a^x) = x log a...
(2x + 1)log 5 = log 25 <-- distribute log 5 inside the brackets...
(2x)log 5 + log 5 = log 25 <-- subtract log 5 both sides of the equation...
(2x)log 5 + log 5 - log 5 = log 25 - log 5
(2x)log 5 = log (25/5) <-- use property: log a - log b = log (a/b)
(2x)log 5 = log 5 <-- divide both sides by log 5
(2x)log 5 / log 5 = log 5 / log 5 <--- this equals 1..
2x = 1
x=1/2
Method 2
5^(2x+1)=5^2
2x+1=2
2x=1
x=1/2
Answer:
3 because 3 times 4 is 12 and 18 divided by 6 is 3
Step-by-step explanation:
Answer:
(5 × 10^3) + (3 × 10^2) + (2 × 10^1) + (5 × 10^0) = 5,325
Step-by-step explanation:
