Answer:
<em>Answer: SAS</em>
Step-by-step explanation:
We must prove that triangles ABC and EDC are congruent.
Since BD bisects AE, then AC is congruent with CE.
Since AE bisects BD, then BC is congruent with CD
Angle C is 90° in the triangle EDC and is also 90° in triangle BCA because they are vertical angles.
Being two sides and the included angle congruent, then both triangles are similar by the SAS theorem.
Answer: SAS
Answer: x≤6
Step-by-step explanation:
1. Simplify 5/3xto 5x/3.
5x/3≤10
2.Multiply both sides by 3.
5x≤10×35x
3. Simplify 10×3 to 30.
5x≤30
4. Divide both sides by 5.
x≤30/5x
5. Simplify 30/5 to 6.
x≤6
Answer:
Step-by-step explanation:
Let x represent the number of hours that he works. babysitting his neighbors children.
Let y represent the number of hours that he works at the other job.
He earns $10 per hour babysitting his neighbors children. This means that the amount that he earns, babysitting his neighbors children for x hours would be
10x
He earns $12 per hour working at the other job. This means that the amount that he earns, working at the other job for y hours would be
12y
Therefore, the inequality that represent the number of hours that he needs to work at both jobs to earn a minimum of $120 is
10x + 12y ≥ 120
Answer:
The volume of the rectangular prism is
Step-by-step explanation:
In order to solve this problem, you must multiply the dimensions by each other. Since the area has been calculated, multiply the height by the area.
Example
This is the answer.
[This link can explain how to multiply mixed fractions by fractions.
https://www.calculatorsoup.com/calculators/math/mixednumbers.php?operand_1=1+3%2F4&operator=multiply&operand_2=1%2F2&action=solve]
800 = l(w)
120 = 2l + 2w
800 = 20(40)
120 = 2(40) + 2(20)
40(6)=240
20(6)=120
P=2(240) + 2(120)
P=480+240
P=720
Answer: Perimeter is 720ft