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Margaret [11]
3 years ago
5

Indicate in standard form the equation of the line passing through the given point and having the given slope. r(4, 0), m = 5

Mathematics
1 answer:
Brrunno [24]3 years ago
5 0
Y = mx + b....m is the slope and b is the y intercept
slope(m) = 5...(4,0)...x = 4 and y = 0
now we sub our info into y = mx + b...we r looking for b, the y intercept
0 = 5(4) + b
0 = 20 + b
-20 = b
so ur equation is y = 20x - 20...but we need it in standard form
Ax + By = C

y = 20x - 20....subtract 20x from both sides
-20x + y = -20...multiply by -1 to make x positive
20x - y = 20 <== standard form
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miss Akunina [59]

By ASA postulate it can be say that the triangle ABC and triangle MRQ are congruent

<h3>What is Angle Sum Property?</h3>

The sum of all three angles(interior) of a triangle is 180 degrees, and the exterior angle of a triangle measures the same as the sum of its two opposite interior angles.

Using Angle Sum Property, in ΔMRQ

<M + <R + <Q= 180

<M + 42 + 85 = 180

<M = 180 -42

<M= 53°

Now, In ΔMRQ and ΔABC  

<A= <R ,

<B = <M

AB = MR

Hence, By ASA criteria ΔMRQ ≅ ΔABC  

Learn more about this concept here:

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4 0
2 years ago
At a certain toy store, tiny stuffed zebras cost $3 and giant stuffed zebras cost $14. The store doesn't sell any
stepan [7]

Answer:

<h2><em><u>60</u></em></h2>

Step-by-step explanation:

tiny stuffed zebras(tsz)= $3

giant stuffed zebras(gsz)=$14

total sold=$208

208÷3=69.3recurring so that's incorrect as you cannot sell .3 of a zebra so keep going until you find the next whole number. (trial and error)

207÷3=69 but it cant be this as it is not the whole money made

208-14=194

194÷3=64.6recurring (cannot be this)

194-14=180

180÷3= 60 = answer as 60 tsz is $180 and add that to 2 gsz and that totals to 208 which is the total

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Step-by-step explanation:

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Rewrite 1/5:1/2 as a unit rate
yulyashka [42]

Hey there! I'm happy to help!

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To get 0.5 to 1, we multiply by 2. So, we will multiply the fraction by 2/2.

0.2/0.5(2/2)=0.4/1

Therefore, the unit rate is 0.4/1 or 0.4:1 or 0.4 per 1.

Have a wonderful day! :D

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Cos w, if tan w=-10/9 and sin w&gt; 0
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Answer:

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