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Natasha2012 [34]
3 years ago
15

This is for 38 points.

Mathematics
1 answer:
Art [367]3 years ago
6 0
Maybe wrong, however i think it is
y=3/2x + 0.5
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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
While I was walking to sched this morning I saw 2 ants and 2 butterflies.
Ronch [10]

Answer:

there would be 24 legs

Step-by-step explanation:

hope that helps

5 0
3 years ago
What are the common multiples of 2 3 and 5
LUCKY_DIMON [66]
Los multiplos de 2 es 2,4 ,6,8,10,12,14, etc Del 3: 3,6,9,12,15,18,21,24,27,30,etc Del 5: 5,10,15,20,25,30,35,40,etc
3 0
3 years ago
Employee I has a higher productivity rating than employee II and a measure of the total productivity of the pair of employees is
Schach [20]

Answer:

The variance of the measure of productivity = 141.67(to 2 d.p)

Step-by-step explanation:

The complete question and the step-by step explanation are contained in the files attached to this solution.

8 0
3 years ago
⚠️PLEASE HELP ME PLEASE!! ⚠️
Snezhnost [94]
Hope it helped you!! Answer b goes to c in a triangle
3 0
2 years ago
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