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Vlad [161]
3 years ago
5

An oil well produces 172 gallons of oil each day. A standard oil barrel holds 42 gallons of oil. Abot how many barrels of oil wi

ll the well produce in one day .
Mathematics
1 answer:
Mariulka [41]3 years ago
5 0
The oil well will produce about 4 barrels of oil a day.
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1. Remember what we know about vertical angles and solve for x. (SHOW WORK)
marusya05 [52]

Answer:

Ans 1. x= 7

Ans 2.a.

\overline {AC} \cong \overline {JL} \\\textrm{is the additional information required to prove the triangles are congruent by SAS postulate}

Ans.2.b.

\overline {BC} \cong \overline {KL} \\\textrm{is the additional information required to prove the triangles are congruent by the HL theorem}

Step-by-step explanation:

Solution:

1.

Vertically opposite angles are equal.

\therefore (x+16) = (4x-5)\\\therefore (4x-x) = (16+5)\\\therefore (3x) = (21)\\\therefore x = 7

2.a.

proof for Δ BAC ≅ ΔKJL by SAS postulate.

InΔ BAC and Δ KJL

BA ≅  KJ               Given

∠ BAC ≅ ∠ KJL   {measure each angle is 90}

\overline{AC} \cong \overline{JL}\ \textrm{additional information require to prove the tangles are congruent by SAS postulate}\\\therefore \triangle BAC \cong \triangle KJL\ \textrm{By Side-Angle-Side postulate...PROVED}

2.b.

proof for Δ BAC ≅ ΔKJL by HL theorem.

InΔ BAC and Δ KJL

BA ≅  KJ               Given

∠ BAC ≅ ∠ KJL   {measure each angle is 90}

\overline{BC} \cong \overline{KL}\ \textrm{additional information require to prove the tangles are congruent by HL theorem}\\\therefore \triangle BAC \cong \triangle KJL\ \textrm{By Hypotenuse Leg Theorem......PROVED}

5 0
3 years ago
What is the missing number? 5/8 =?/64 plz hury
PSYCHO15rus [73]

Answer:

40

Step-by-step explanation:

5 / 8 = x / 64

5 / 8 x 64 = x / 64 x 64

5 x 8 = x

40 = x

I hope this helps :)

7 0
3 years ago
Read 2 more answers
PROVE THESE TRIANGLES ARE CONGRUENT
jenyasd209 [6]

Answer:

These triangles cannot be proved congruent

Step-by-step explanation:

The theorems for congruence are  SSS SAS ASA AAS. Here, there is only one common side and one common angle marked, therefore you cannot prove congruency.

8 0
1 year ago
Read 2 more answers
Find the slope of the line in simplest form (8, 9) (-7, 14)
xeze [42]
Slope= -1/3
14-9/-7-8
5/-15
1/-3
4 0
2 years ago
Chester has less than $25 to spend at the county fair. The entrance fee is $5, and each ride costs $3. The number of rides, r, t
padilas [110]

Answer:

6 rides

Step-by-step explanation:

3r+5<25

3r<20

r<6.67

rides=6

check answer

3r+5<25

3(6)+5<25

18+5<25

23<25

4 0
2 years ago
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