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vovikov84 [41]
3 years ago
5

In triangle XYZ, an exterior angle to angle X had measure 100° and an exterior angle to angle Z has measure 120°. Which side of

triangle XYZ is the longest?
Mathematics
1 answer:
DaniilM [7]3 years ago
5 0

Answer:

Side YZ is the longest

Step-by-step explanation:

The longest side is across from the largest angle.

Angle X must be 80° because its exterior angle is 100° and they're supplementary. Angle Z is 60° for the same reason. Inside a triangle is always 180°, and since the measures of angle Z and X add up to 140°, so there's 40° left, meaning angle X is the largest.

Angle X is across from size YZ, so that's the longest

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Help please jggvnhujff
saveliy_v [14]

Answer:

Step-by-step explanation:

<u><em>8).</em></u>  \left \{ {{4x+3y=1} \atop {x+y=2}} \right.

<em>(2)</em> × [ - 3 ]

4x + 3y = 1 ........ <em>(3)</em>

- 3x - 3y = - 6 .... <em>(4)</em>

<em>(3)</em> + <em>(4)</em>

x = - 5

- 5 + y = 2 ⇒ y = 7

<em>( - 5 , 7 )</em>

<u><em>9).</em></u> \left \{ {{-9x+3y=18} \atop {2x+y=-4}} \right.

<em>(1)</em> ÷ [- 3]

3x - y = - 6  ......... <em>(3)</em>

2x + y = - 4 ........ <em>(4)</em>

<em>(3)</em> + <em>(4)</em>

5x = - 10 ⇒ x = - 2

2(- 2) + y = - 4 ⇒ y = 0

<em>(- 2, 0)</em>

<u><em>10).</em></u> \left \{ {{x-2y=14} \atop {10x-6y=0}} \right.

<em>(2)</em> ÷ 10

x - 0.6y = 0 ⇒ x = 0.6y -----> <em>(1)</em>

0.6y - 2y = 14

- 1.4y = 14

y = - 10

x - 2(- 10) = 14 ⇒ x = - 6

<em>(- 6, - 10)</em>

Now is your turn, you can do it!!

3 0
3 years ago
Polygon BCDE (is congruent to) RSTU find the value of y.<br><br>​
german
Y=14
If they are congruent then t=d so write the equation and solve from there, welcome im Procrastinating.
3 0
3 years ago
What is the greatest common factor of<br> 10x2<br> + 25x?<br> 15x4
Tanya [424]

5

Step-by-step explanation:

your answer is 5 the greatest common factor is 5

10= 5

25=5

15= 5

5 0
2 years ago
A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.
vovikov84 [41]

Answer:

A=(4-g) 1.5

Step-by-step explanation:

Let g be the amount of glycerin in the lotion.  We know that there are 4 ounces total of lotion; this means that there are 4-g ounces of the oil blend.

The oil blend costs $1.50 per ounce; this gives us the expression (4-g)1.5 for the oil blend.

8 0
3 years ago
Read 2 more answers
Suppose a city with population 600,000 has been growing at a rate of 3​% per year. If this rate​ continues, find the population
andrezito [222]

Answer:

The answer should be around 1,149663 (Rounded off to the nearest whole number. Also if a population has a remainer you usually add it as 1. This is because these are people)

Step-by-step explanation:

First step involves listing the formulas being used:

600,000= population, 0.03= growth rate 22years= period

Therefore, we take the 600,000 and multiply by 1+0.03 ^22(to the power of 22 or period)

So, 600,000(1+0.03)^22

=1,149662.045 /1,149663

Hope this helps!

6 0
2 years ago
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