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3 years ago

Make n the subject of the formula: M=3n

Mathematics

1 answer:

natta225 [31]3 years ago

4 0

Divide each side by 3. ----- n=M/3 .

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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:

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}

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

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Carlos is looking at apartments with 3 of his friends. They want the monthly rent to be no more than $2,360. If the roommates sp

alekssr [168]

Answer:

$590

Step-by-step explanation:

$2360 divided by 4 is $590.

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Is this right? I’m unsure if I’m doing this correctly. Thanks

gogolik [260]

The answer is 24 as it's the smallest number given that is divisible by both 6 and 8.

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While driving your rental car on your trip to Europe, you find that you are getting 12.4 kilometers per liter of gasoline. What

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