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adelina 88 [10]
3 years ago
5

HELP ME PLEASEEEEEEE

Mathematics
1 answer:
Finger [1]3 years ago
5 0

Answer:

x = 6

Step-by-step explanation:

Using the exterior angle theorem

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

79° is an exterior angle of the triangle , then

8x - 13 + 9x - 10 = 79

17x - 23 = 79 ( add 23 to both sides )

17x = 102 ( divide both sides by 17 )

x = 6

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Muhammad ate an average of 2.5% cookies per day
AleksandrR [38]
A = 2.5x , where x = 7 since there is 7 days in a week. So it would be 2.5(7)

B = 2.5(30) where 30 represents how many days. So he eats 75 cookies in 30 days.

Correct me if I am wrong.
5 0
3 years ago
What is the value of k?
seraphim [82]

Answer:

k=2

Step-by-step explanation:

We have got a right triangle LNO with sides = m,4 and 8

By Pythagorean theorem

m^2=4^2 +8^2

Or m^2 = 80  ... i

IN triangle NOM, 4^2 +k^2 = l^2

i.e. 16+k^2 = l^2... i

In triangle LNM, m^2+l^2 = (8+k)^2

Substitute for m^2 as 80,

i.e. 80+l^2 = 64+k^2 +16k  ... iii

From i, l^2 = 16+k^2

Substitute in iii

80+16+k^2 = 64+k^2 +16k

16k = 32 or k =2


8 0
4 years ago
On the blueprint of a house, 38 millimeters represents 6 meters. the length of the living room is 57 millimeters on the blueprin
Pie
For this case we can make the following rule of three:
 38 milimeters ---------> 6 meters
 57 milimeters ---------> x
 Clearing x we have:
 x = (57/38) * (6)
 x = 9 meters
 Answer:
 
the current length of the living room is:
 
x = 9 meters
3 0
4 years ago
Write an equation for the nth term of the arithmetic sequence.
tresset_1 [31]

Answer:

<h3>              \bold{a_n=6n-3}\\\\\bold{a_{50}=297} </h3>

Step-by-step explanation:

3, 9, 15, 21,  ...

9-3 = 6;   15-9 = 6;   21-15 = 6   ⇒  d = 6

first term:  a = 3

difference:  d = 6

so the formula:

                         a_n=a+d(n-1)\\\\a_n=69+6(n-1)\\\\a_n =3+6n-6\\\\\underline{a_n=6n-3}                        

and:

   a_{50}=6\cdot50-3=300-3=297

5 0
3 years ago
1/4 c=__pt? Fill the blank
jonny [76]

Step-by-step explanation:

A pint has 2 cups

2 cups = 1 pint

1 cup = 1/2 pint

1/4 cup = 1/2 ÷ 4 = 1/2 * 1/4 = 1/8 pint

3 0
3 years ago
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