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Fudgin [204]
3 years ago
10

The students put recycling bins in the teachers lounge at school at the end of the week there was a total of 48.9 pounds of cans

and bottles they split them evenly into three bags how many pounds did each bag weigh
Mathematics
1 answer:
masha68 [24]3 years ago
8 0

Answer:

16.3 pounds

Step-by-step explanation:

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Given: AB || DE , AD bisects BE.<br> Prove: ABC = DEC using the ASA postulate.
Ket [755]

Answer:

As per ASA postulate, the two triangles are congruent.

Step-by-step explanation:

We are given two triangles:

\triangle ABC and \triangle DEC.

AD bisects BE.

AB || DE.

Let us have a look at two properties.

1. When two lines are parallel and a line intersects both of them, then <em>alternate angles </em>are equal.

i.e. AB || ED and \angle B and \angle E are alternate angles \Rightarrow \angle B = \angle E.

2. When two lines are cutting each other, angles formed at the crossing of two, are known as <em>Vertically opposite angles </em>and they are are <em>equal</em>.

\Rightarrow \angle ACB = \angle DCE

Also, it is given that <em>AD bisects BE</em>.

i.e. EC = CB

1. \angle B = \angle E

2. EC = CB

3. \angle ACB = \angle DCE

So, we can in see that in \triangle ABC and \triangle DEC, two angles are equal and side between them is also equal to each other.

Hence, proved that \triangle ABC \cong \triangle DEC.

8 0
3 years ago
Cindy dissolves 19 1 /4 grams of drink mix in 1 3 /4 ounces of water. What is the unit rate in grams of drink mix per ounce of w
Korolek [52]

Answer:

Unit rate in grams of drink mix per ounce of water = 11 gram / ounces

Step-by-step explanation:

Given:

Amount of drink mix = 19 (1 /4) gram = 19.25 gram

Amount of water = 1 (3 /4) ounces = 1.75 ounces

Find:

Unit rate in grams of drink mix per ounce of water = ?

Computation:

⇒  Unit rate in grams of drink mix per ounce of water = Amount of drink mix / Amount of water

⇒  Unit rate in grams of drink mix per ounce of water = 19.25 / 1.75

⇒  Unit rate in grams of drink mix per ounce of water = 11 gram / ounces

5 0
2 years ago
You have a cell phone that is 5 inches in height, 0.5 inches in width, and 2.5 inches in length, what is the surface area in sq
fenix001 [56]
Answer: 32.5sq in I believe

I multiplied all the sides (ex 0.5x2.5x2) and did that with all the other sides
6 0
3 years ago
In the diagram below, GH is parallel to DE . If GH is 3 more than EH FH=10, and DE=12 find the length of EH. Figures are not nec
steposvetlana [31]

Answer: 5

Step-by-step explanation:

Since \overline{GH} \parallel \overline{DE}, by the corresponding angles theorem, \angle FGH \cong \angle FDE, \angle FHG \cong \angle FED. This means \triangle FGH \sim \triangle FDE by AA.

As corresponding sides of similar triangles are proportional,

\frac{10}{x+3}=\frac{10+x}{12}\\(10)(12)=(10+x)(x+3)\\120=x^{2}+13x+30\\x^{2}+13x-90=0\\(x+18)(x-5)=0\\x=-18, 5
However, as distance must be positive, we consider the positive solution, x=5.

Therefore, the answer is <u>5</u>

6 0
2 years ago
What is the answer for<br> 3(x-2)+6x=3x-2+6x
Rudiy27
I think this attachment will help you

8 0
2 years ago
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