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2 years ago

100 POINTS!!!!!!!!!!

Mathematics

2 answers:

Vanyuwa [196]2 years ago

8 0

Answer:

x = 6 , x = 4

Step-by-step explanation:

A line parallel to a side of a triangle and intersecting the other 2 sides then divides those sides proportionally, that is

$\frac{x}{18}$ = $\frac{28-21}{21}$ = $\frac{7}{21}$ = $\frac{1}{3}$ ( cross- multiply )

3x = 18 ( divide both sides by 3 )

x = 6

(14)

$\frac{x+5}{15}$ = $\frac{5x+1}{35}$ ( cross- multiply )

15(5x + 1) = 35(x + 5) ← distribute parenthesis on both sides

75x + 15 = 35x + 175 ( subtract 35x from both sides )

40x + 15 = 175 ( subtract 15 from both sides )

40x = 160 ( divide both sides by 40 )

x = 4

Ne4ueva [31]2 years ago

5 0

the fiest answer is x=6 for the second one the answer is x=4

Step-by-step explanation:

x+15/5x+1 =15/35 then cross multiply

1st one

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A line containing the points (9, 1) and (5, 5) intersects the x -axis at what point?

Troyanec [42]

Answer:

It intersects the x-axis at x = 10

Step-by-step explanation:

Step 1: Find slope m

m = (5 - 1)/(5 - 9)

m = 4/-4

m = -1

y = -x + b

Step 2: Find b

5 = -5 + b

b = 10

Step 3: Rewrite equation

y = -x + 10

Step 4: Find x when y = 0

0 = -x + 10

-10 = -x

x = 10

So the graph crosses the x-axis at 10.

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2 years ago

A rectangular yard measuring

aliina [53]

The entire yard is 36x54 so you would draw a rectangle with those measurements, since there is a border of 3 you should draw another rectangle in the middle with measurements 6 less than the original. 30x48
since you are finding the area of the walk, you would find the larger area, then subtract the smaller rectangle

(36*54)-(30*48)
1944-1440
504 square feet of walk

7 0

3 years ago

A Ladder that is 32 ft long leans against a building. The angle of elevation of the ladder is 70 degrees. To the nearest tenth o

kolezko [41]

See the picture attached to better understand the problem

we know that
in the right triangle ABC
sin 70°=opposite side angle 70°/hypotenuse

in this problem
opposite side angle 70°=AB
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sin 70°=AB/32------> AB=32*sin 70°-----> AB=30.07 ----> AB=30.1 ft

4 0

2 years ago

Read 2 more answers

The number of bacteria in a certain culture doubled every hour. If there were 30 bacteria present in the culture initially, how

vichka [17]

Answer:

The number of bacteria after $8th$ will be $3840$

Step-by-step explanation:

Given the initially 30 bacteria present in the culture.

Also, the number of bacteria got doubled every hour.

So, using the equation

$A=A_0r^{n-1}$

Where $A$ is number of bacteria after $n$ hours.

$A_0$ is bacteria present initially.

$r$ is the common ration, in our problem it is given that bacteria doubles every hour. So, $r=2$

And $n$ is the number of hours. In our problem we need amount of bacteria at the end of $8th$ hours. So, $n=8$

Plugging values in the formula we get,

$A=30(2)^{8-1}\\A=30\times 2^7\\A=30\times 128\\A=3840$

So, number of bacteria after $8th$ will be $3840$

3 0

2 years ago

Sorry another question!

Julli [10]

Answer:

you start counting from left to right

when you want to calculate the difference you have to choose two numbers that are next to each other and subtract second one from first one and because the different between every 2 numbers in order are the same numbers we call it a common difference.

Step-by-step explanation:

for example for 4 :

1. we can choose two numbers next to each other like 1 and 1.1

2. subtract second from first like 1.1 - 1 = 0.1

3. 1.1 + 0.1 = 1.2

1.2 + 0.1 = 1.3

and ...

so the common difference is 0.1

8 0

2 years ago