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vichka [17]
3 years ago
13

∆GHI is an isosceles triangle with a vertex angle H If the m∠H=80°, then find the m∠I.

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
5 0

Answer:

m∠I = 50 degrees

Step-by-step explanation:

Mathematically, the base angles of an isosceles triangle are equal

So in this case, since H is a vertex;

m∠I + m∠H + m∠G = 180

m∠I = m∠G = x

2x + 80 = 180

2x = 180-80

2x = 100

x = 100/2

x = 50

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timurjin [86]

Answer:

108

Step-by-step explanation:

36 inches in a yard

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3 years ago
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Daniel has read 10 % of a book. He has 54 more pages to finish. How many pages are there in the book
Elena L [17]

Answer:

60

Step-by-step explanation:

10% = ?

54= ?

100%-10%=90%

54=90%

54/9=6

6=10%

6*100%=60

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3 years ago
Starasia says “My hair is 40 inches long, give or take 0.2 inches.” What is the percent error of the length of her hair?
Alex_Xolod [135]

Answer:

Step-by-step explanation:

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4 0
3 years ago
If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c
dolphi86 [110]

Given:

(ax+2)(bx+7)=15x^2+cx+14

And

a+b=8

Required:

To find the two possible values of c.

Explanation:

Consider

\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}

So

\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}

And also given

a+b=8---(2)

Now from (1) and (2), we get

\begin{gathered} a+\frac{15}{a}=8 \\  \\ a^2+15=8a \\  \\ a^2-8a+15=0 \end{gathered}a=3,5

Now put a in (1) we get

\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}

When a=5 and b=3, we have

\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}

Final Answer:

The option D is correct.

31 and 41

8 0
1 year ago
What is 7.25 in word form
Minchanka [31]
<span>7.25 = s</span><span>even and twenty-five hundredths</span>
<span>Hope I helped:P </span>
3 0
4 years ago
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