<u>Answer:</u>
angle a = 
<u>Step-by-step explanation:</u>
The angles in a triangle add up to 180°.
∴ ∠a + 13° + 13° = 180°
⇒ ∠a + 26° = 180°
⇒ ∠a = 180° - 26°
⇒ ∠a = 154°
Answer:
222
Step-by-step explanation:
444/2=222
Answer:
Ralph's current age is 18.
Step-by-step explanation:
Let r and s represent the current ages of Ralph and Sara respectively. Our task here is to determine r, Ralph's age now.
If Ralph is 3 times as old as Sara now, then r = 3s.
Six years from now, Ralph's age will be r + 6 and Sara's will be s + 6. Ralph will be only twice as old as Sara will be then. This can be represented algebraically as
r + 6 = 2(s + 6).
We now have the following system of linear equations to solve:
r + 6 = 2s + 12, or r - 2s = 6, and r = 3s (found earlier, see above).
r - 2s = 6
r = 3s
Substituting 3s for r in r - 2s = 6, we get 3s = 2s + 6, or s = 6. Sara is 6 years old now, meaning that Ralph is 3(6 years), or 18 years old.
Ralph's current age is 18.
Answer:
The remaining interior angles of this triangle are 140º and 10º
Step-by-step explanation:
The sum of the interior angles of a triangle is always 180º.
A triangle has 3 angles. In this problem, we have one of them, that i am going to call A1 = 30º.
The sum of a interior angle with it's respective exterior angle is also always 180º.
We have that one of the exterior angles is equal to 40°. So it's respective interior angle is
40º + A2 = 180º
A2 = 180º - 40º
A2 = 140º
Now we have two interior angles, and we know that the sum of the 3 interior angles is 180º. So:
A1 + A2 + A3 = 180º
A3 = 180º - A1 - A2
A3 = 180º - 30º - 140º
A3 = 180º - 170º
A3 = 10º
Answer:
73.4
Step-by-step explanation: Multiply you celsius by 9. Then take that number then by 9. then add by 32
