Answer:
A) x-3 and D) x+9
Step-by-step explanation:
x^2 + 6x - 27
You need to find two numbers that multiply to -27 and add up to 6
Those two numbers are -3 and 9, because 9 * -3 = -27 and 9+ -3 = 6
So you add those to x and those are your two factored binomials
(x-3) and (x+9)
<u>Given</u><u> info</u><u>:</u><u>-</u> In triangle (∆)ABC , in which ∠A = 2x, ∠B = x+15° and ∠C = 2x + 10°. Then find the value of x , also find the measure of each angles of a triangle.
<u>Explanation</u><u>:</u><u>-</u>
Let the angles be 2x, x+15 and 2x+10 respectively.
∵ Sum of the three angles of a triangle is 180°
∴ ∠A + ∠B + ∠C = 180° [Sum of ∠s of a ∆=180°]
→2x + x+15 + 2x+10 = 180°
→ 2x + x + 2x + 15 + 10 = 180°
→ 3x + 2x + 15 + 10 = 180°
→ 5x + 15 + 10 = 180°
→ 5x + 25 = 180°
→ 5x = 180°-25
→ 5x = 155°
→ x = 155°÷5 = 155/5 = 31.
Now, finding the measure of each angles of a ∆ABC by putting the original value of “x”.
∴ ∠A = 2x = 2(31) = 62°
∠B = x+15 = 31 + 15 = 46°
∠C = 2x + 10 = 2(31) + 10 = 62 + 10 = 72°.
Answer:
180, 180, 148, 180, 148
Step-by-step explanation:
The two rules in play here are ...
- the sum of interior angles of a triangle is 180°
- the angles of a linear pair are supplementary (they total 180°)
__
The first of these rules answers the first two questions:
- interior angles total 180°
- angles 1, 3, 4 total 180°
We can subtract the measure of angle 1 from both sides of the previous equation to find the sum of the remaining two angles.
- angles 3 and 4 total 148°
The second rule answers the next question:
- angles 1 and 2 total 180°
As before, subtracting the value of angle 1 from both sides of the equation gives ...
_____
<em>Additional comment</em>
Of course, the subtraction property of equality comes into play, also. For some unknown, X, you have (in both cases) ...
X + 32° = 180°
X +32° -32° = 180° -32° . . . . . . subtraction property of equality
X = 148° . . . . . . . . simplify
In the first case, X is the sum of angles 3 and 4. In the second case, X is angle 2 only.
Answer:
74,000
Step-by-step explanation:
In the year where he got 104,000 the year before he got 6,000 less. The year before 98,000 he got 12,000 less which means that now it would just be 86,000-12,000=74,000
I think this is right but you can double check on a calculator
Hope this helped!
Answer:
6
Step-by-step explanation:
Silvia: 2 pages to 5 minutes
into...
Silvia: 1 page to __ minutes
<u>Find Unit Rate</u> : 5/2= 2.5
Unit Rate for Silvia is 2.5
<u>Written out</u> : 2 pages x 2.5 = 5 minutes
<u>Example</u> : 1 page to 2.5 minutes
<u>What we found</u> : ___ pages to 60 minutes(60 divided by 2.5) is
<h2>
24 pages to 60 minutes</h2>
Silvia's sister: 3 pages to 6 minutes
into...
Silvia's sister: 1 pages to ___ minutes
<u>Find Unit Rate</u> : 6/3= 2
Unit Rate for Silvia is 2
<u>Written out</u> : 3 pages x 2 = 6 minutes
<u>Example</u> : 1 page to 2 minute
<u>What we found</u> : ___ pages to 60 minutes(60 divide by 2) is
<h2>
30 pages to 60 minutes </h2>
<u>Final Step</u> : 30 - 24 = 6
