9514 1404 393
Answer:
∠16 = 47°
Step-by-step explanation:
Vertical and corresponding angles are congruent. The remainder are supplementary to those.
∠1≅∠4≅∠5≅∠7≅∠10≅∠12≅∠13≅∠15 = 133°
∠2≅∠3≅∠6≅∠8≅∠9≅∠11≅∠14≅∠16 = 47°
Answer:
7.3 feet
Step-by-step explanation:
osK=
hypotenuse
adjacent
=
35
x
\cos 78=\frac{x}{35}
cos78=
35
x
35\cos 78=x
35cos78=x
Cross multiply.
x=7.2769\approx \mathbf{7.3}\text{ feet}
x=7.2769≈7.3 feet
Type into calculator and round to the nearest tenth of a foot.
The correct graph to the inequality is a number line with open dot at <em>negative 3</em> with shading to the left and an open dot at 6 with shading to the right. The correct option is the second option
<h3>Linear Inequalities </h3>
From the question, we are to determine the graph for the given compound inequality
The given compound inequality is
4p + 1 < −11 or 6p + 3 > 39
Solve the inequalities separately
4p + 1 < −11
4p < -11 - 1
4p < -12
p < -12/4
p < -3
OR
6p + 3 > 39
6p > 39 - 3
6p > 36
p > 36/6
p > 6
Thus,
p < -3 OR p > 6
Hence, the correct graph to the inequality is a number line with open dot at <em>negative 3</em> with shading to the left and an open dot at 6 with shading to the right. The correct option is the second option
Learn more on Linear Inequalities here: brainly.com/question/5994230
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Answer:
Per ounce better buy is <em>Happy popcorn</em>.
Step-by-step explanation:
Given that:
Happy popcorn price for 16 ounces = $1.39
Popper popcorn price for 34 ounces = $2.79
Discount coupon present with Gabe = 40 ¢ = $0.40
To find:
Which brand is the better buy per ounce?
Solution:
First of all, let us calculate the price that Gabe has to pay after the discount coupon being applied.
Price for 16 ounces of Happy popcorn after discount = $1.29 - $0.40 = $0.99
Price for 1 ounce of Happy popcorn after discount = = $0.062
Price for 34 ounces of Popper popcorn after discount = $2.79 - $0.40 = $2.39
Price for 1 ounce of Popper popcorn after discount = = $0.070
Clearly, per ounce price of Happy popcorn is lesser than that of Popper popcorn.
Therefore per ounce better buy is <em>Happy popcorn</em>.