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ioda
3 years ago
7

Please help !!!!!!!!!!!!!

Mathematics
1 answer:
saw5 [17]3 years ago
8 0
Since they are opposite angles about the intersection of two straight lines they are equal angles....

5x+12=6x-10  subtract 12 from both sides

5x=6x-22  subtract 6x from both sides

-x=-22  divide both sides by -1

x=22°

So those angles are 5*22+12=122°

Now HJI is an adjacent angle so it is 180°-122°=58°
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Show that 3x^2 -2x + 1 is always greater than 0.<br> ( This is an Additional Math Question )
Leviafan [203]

Answer:

3x^2 -2x + 1 =3(x^2-2/3x+1/3)=3(x-1/3)^2+2/9*3= 3(x-1/3)^2+2/3

(x-1/3)^2 is greater or equal to zero

3(x-1/3)^2 is greater or equal to zero

and 2/3 is greater than zero

So there sum is greater than zero

Proved

Step-by-step explanation:

3x^2 -2x + 1 =3(x^2-2/3x+1/3)

Consider x^2-2/3x+1/3

Remember that (a-b)^2 =a^2-2ab+b^2

x^2=a^2

a=x

-2/3x= -2*x*b

b=1/3

S0 (x-1/3)^2= x^2-2/3x+1/9

x^2-2/3x+1/3= x^2-2/3x+1/9+1/3-1/9= (x-1/3)^2+2/9

3x^2 -2x + 1 =3(x^2-2/3x+1/3)=3(x-1/3)^2+2/9*3= 3(x-1/3)^2+2/3

(x-1/3)^2 is greater or equal to zero

3(x-1/3)^2 is greater or equal to zero

and 2/3 is greater than zero

So there sum is greater than zero

Proved

6 0
3 years ago
A metallurgist has an alloy with 10​% titanium and an alloy with 20​% titanium. He needs 100 grams of an alloy with 17​% titaniu
ser-zykov [4K]
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now, notice, we use the decimal format for the percent, namely 17% is 17/100 or 0.17 and so on

so....  we know, whatever "x" and "y" is, they must add up to 100 grams
thus    x + y = 100

and whatever the concentrated amount is, it must add up to 17 grams for the composition

thus   0.1x + 0.2y = 17

\bf \begin{cases}&#10;x+y=100\implies \boxed{y}=100-x\\&#10;0.1x+0.2y=17\\&#10;----------\\&#10;0.1x+0.2\left( \boxed{100-x} \right)=17&#10;\end{cases}

solve for "x", to see how much is needed of the 10% alloy

what about "y"? well, y = 100 - x
4 0
3 years ago
There are 3200 students at Lake High School and 2/5 of these students are sophomores. If 3/8 of the sophomores are opposed to th
svet-max [94.6K]

Answer:

4

Step-by-step explanation:

2/5*3000 = 1200 seniors

then

3000 - 1200 = 1800 students not seniors

therefore

4/5* 1200 = 960 do not like rock climbing

and

9/10** 1800 = 1620 also do not like it:

"how many students are in favor of this idea?"

subtract the "don't likes" from 3000

3000 - (960+1620) = 420 like rock climbing:

3x-x+2=4

5 0
3 years ago
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What is the x-value in the solution to this system of linear equations?
Hoochie [10]

Answer:

anwer is 4 i m not sure

of i m right plz give me the brainliest

5 0
2 years ago
Dino drove his truck the following distances during the week monday 4.8 tuesday 12.3 miles wednesday 74.5 miled thursday 10 mile
puteri [66]

Answer:

tttttt

Step-by-step explanation:

6 0
3 years ago
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