Write the final answer in simplest radical form

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

Tonisha has a lemonade stand. She has $31 in expenses and wants to make $69 per day. If X represents the amount of revenue from

aksik [14]

Answer:

x - 31 $\geq$ 69

Tonisha has to make at least $100 in revenue

Step-by-step explanation:

Set up the inequality:

x - 31 represents her profit

Since she wants to make at least $69 a day, use $\geq$ 69

So, the inequality is x - 31 $\geq$ 69

Then, solve for x to find how much she has to sell:

x - 31 $\geq$ 69

x $\geq$ 100

So, Tonisha has to make at least $100 in revenue

6 0

3 years ago

42 of the 50 coffee mugs at Nicole's Pancake House are dirty. What percentage of the

LenKa [72]

Answer:

84%

Step-by-step explanation:

of the means division.

42/50 = 84/100 = 84%

5 0

2 years ago

Read 2 more answers

Money that you save in a bank account can grow. Money that you borrow from a bank is not free.

IRINA_888 [86]

Answer:

Your heart's been aching but you're too shy to say it Inside we both know what's been going on

We know the game and we're gonna play it I just wanna tell you how I'm feeling

Gotta make you understand

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you Never gonna give you up

Never gonna let you down

Never gonna run around and desert you Never gonna make you cry” - Rick Astley

This should help you answer you question! :)“We're no strangers to love

You know the rules and so do I

A full commitment's what I'm thinking of You wouldn't get this from any other guy I just wanna tell you how I'm feeling Gotta make you understand

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

We've known each other for so long

Your heart's been aching but you're too shy to say it Inside we both know what's been going on

We know the game and we're gonna play it

And if you ask me how I'm feeling

Don't tell me you're too blind to see

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you Never gonna give, never gonna give (Give you up)

(Ooh) Never gonna give, never gonna give

(Give you up)

We've known each other for so long

Your heart's been aching but you're too shy to say it Inside we both know what's been going on

We know the game and we're gonna play it I just wanna tell you how I'm feeling

Gotta make you understand

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you Never gonna give you up

Never gonna let you down

Never gonna run around and desert you Never gonna make you cry” - Rick Astley

This should help you answer you question! :)“We're no strangers to love

You know the rules and so do I

A full commitment's what I'm thinking of You wouldn't get this from any other guy I just wanna tell you how I'm feeling Gotta make you understand

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

We've known each other for so long

Your heart's been aching but you're too shy to say it Inside we both know what's been going on

We know the game and we're gonna play it

And if you ask me how I'm feeling

Don't tell me you're too blind to see

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you Never gonna give, never gonna give (Give you up)

(Ooh) Never gonna give, never gonna give

(Give you up)

We've known each other for so long

Your heart's been aching but you're too shy to say it Inside we both know what's been going on

We know the game and we're gonna play it I just wanna tell you how I'm feeling

Gotta make you understand

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you Never gonna give you up

Never gonna let you down

Never gonna run around and desert you Never gonna make you cry” - Rick Astley

This should help you answer you question! :)

Step-by-step explanation:

5 0

3 years ago

If triangle LMN ~ triangle PON, what is MN?

Leviafan [203]

Answer:

pretty sure its 40cm

Step-by-step explanation:

hope this helps :)

6 0

3 years ago

Read 2 more answers