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3 years ago

Please help I will mark brainlist if correct

Mathematics

1 answer:

Virty [35]3 years ago

4 0

We have 2 equations here ( b = cost of bush and t = cost of a tree)

10b + 4t = 246........................................................(1)
5b + 3t = 147 Multiply this equation by -2:-
-10b - 6t = -294.......................................................(2)

Adding equations (1) and (2) we get:-

0 - 2t = - 48

t = -48/-2 = 24

Plug t = 24 into the first equation:-
10b + 4(24) = 246
10b = 246 - 96 = 150
b = 15

The answer is one bush costs $15 and one tree costs $24.

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Find AB А. B N M -3. finele ooie 7 35. D 22 uz to с 29

gizmo_the_mogwai [7]

Answer: 15

Step-by-step explanation:

By the trapezoid midsegment theorem,

$\frac{AB+CD}{2}=MN\\\frac{29+AD}{2}=22\\29+AD=44\\AD=15$

7 0

2 years ago

8-35. Use your knowledge of polygons to answer the questions below, if possible.

Nataliya [291]

Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

(c)x=52 degrees

(d)x=107 degrees

(e)1620 degrees

Step-by-step explanation:

(a)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

I. If the Interior angle is $1980^0$

Then:

$(n-2)180^0=1980^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=11\\$Add 2 to both sides of the equation\\n-2+2=11+2\\n=13$

The polygon has 13 sides.

II. If the Interior angle is $900^0$

Then:

$(n-2)180^0=900^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=5\\$Add 2 to both sides of the equation\\n-2+2=5+2\\n=7$

The polygon has 7 sides.

(b)The sum of the exterior angle of a polygon is 360 degrees,

Each exterior angle of a n-sided regular polygon is: $\frac{360^0}{n}$

If the exterior angle of a regular polygon is 90°

Then:

$90\°=\frac{360^0}{n}\\ 90n=360\\n=4$

The regular polygon has 4 sides and it is called a Square.

(c)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

Each Interior angle of a regular n-sided polygon is: $\frac{(n-2)180^0}{n}$

For a pentagon, n=5

Then:

$\frac{(5-2)180^0}{5}=2x+4\\108=2x+4\\108-4=2x\\104=2x\\x=52^0$

(d)The sum of the exterior angle of a polygon is 360 degrees.

If four of the exterior angles of a pentagon are 57, 74, 56, and 66.

Let the fifth angle=x

Then:

$57+74+56+66+x=360^0\\253+x=360\\x=107^0$

(e)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

In an 11-gon., n=11

Therefore, the sum of the interior angle=(11-2)180= $1620^0$

The sum of the interior angle does not change either in a regular or irregular polygon.

3 0

3 years ago

Which expression is equivalent to(2^3)^-5

Nady [450]

Answer:

hope this helps if not im sorry

Step-by-step explanation:

(2^3)^5

=2^(3*5)

= 2^15

3 0

3 years ago

Thirty percent of the people refused to work and just sat around. if 1400 people worked, how many just sat around?

Nezavi [6.7K]

30% can also be written as .3, which is easier to use in this case.

To find how many just sat around, multiply the number of people by the percentage of how many just sat around.

1400*.3=420

5 0

3 years ago

Read 2 more answers

At what point does a line with a slope of 34 and a y-intercept of -5 intersect a line with a slope of −14 and a y-intercept of 3

maw [93]

Set them into slope-intercept forms of equations then set those equations equal to each other and solve for x and y. y = 34x - 5 and y = -14x+3. Set those equal to each other, solve for x to get x = 1/6. Sub in that x value to get y = 2/3. The point where they intersect is the solution of the system; in other words, where on both lines we have the exact same (x, y) value.

4 0

3 years ago