Answer:
x = 8
Step-by-step explanation:
40 + 6x + 2 = 90 {Complementary angles}
Combine like terms
40+ 2 + 6x = 90
42 +6x = 90 {Subtract 42 form both sides}
6x = 90 - 42
6x = 48 {divide both sides by 6}
6x/6 = 48/6
x = 8
ANSWER ⇒ the total number of straws in the bundle is 288
I hope this helps you :)
Answer:
<em>Reflecting over the x-axis and then reflecting over the line y = x. </em>
Step-by-step explanation:
<em>A rotation 90° counterclockwise will map every point (x, y) to (-y, x).</em>
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<em>Since the x- and y-coordinates are switched, this is not a reflection across the x-axis followed by a reflection across the y-axis.</em>
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<em>Since the y-coordinate is negated and the x- and y-coordinates are switched, this is not a translation.</em>
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<em>Reflecting across the x-axis will negate the y-coordinate, giving us (x, -y). Following this with a reflection across y=x will switch the coordinates giving us (-y, x). This is the correct transformation.</em>
Answer:
Sarita’s solution is correct. She made an error in her verification. Sarita was supposed to add the 5 and 7 in the first step.
Step-by-step explanation:
Given the following equation:
The steps to solve it are:
5(x-3)+7(x+4)-73
1. Apply the Distributive property:
5x-15+7x+28=73
2. Add the like terms:
12x+13=73
3. Subtract5 13 from both sides of the equation:
12x+13-(13)=73-(13
12x=60
4. Divide both sides of the equation by 12:
12r/12 = 60/12
x = 5
To verify it, let's substitute into the equation:
5(5-3)+7(5+4)=73
Evaluating, we get:
5(2)+7(9)=73
10+63=73
73=73
Based on this, we can determine that Sarita's solution is correct, but she made an error in her verification (Observe that 5-3 is not equal to -2 )
Using the ac method : (b-5) (b-3)
