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Romashka-Z-Leto [24]
3 years ago
15

IF THE TRIANGLES IN THE ABOVE FIGURE ARE PROPORTIONAL, WHATS THE LENGTH OF SIDE B?

Mathematics
1 answer:
Tema [17]3 years ago
5 0
<h3>Answer: choice B) 36</h3>

=================================================

Explanation:

The vertical sides, when read from left to right, can be divided to get this fraction: 9/90

Following the same order and direction, we divide the slanting corresponding sides to get: b/360

The fractions we constructed are equal to one another, as the triangles are said to be proportional.

We have the fraction 9/90 = b/360

Lets cross multiply and solve for b

--------------------

9/90 = b/360

9*360 = 90*b

3240 = 90b

90b = 3240

90b/90 = 3240/90

<h3>b = 36</h3>

--------------------

A quick way to do this may be to notice how the jump from 9 to 90 is "times 10" so the jump from b to 360 is also "times 10". Think in reverse to divide 360 over 10 and we land on 36 as our answer. This line of thinking does not work as simple for all proportional problems.

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What's 9-2x=35<br><br><br><br><br><br>please need help and explain it ​
Degger [83]

Answer:

x = -13

Step-by-step explanation:

9 - 2x = 35

<u>-9           -9 </u>

-2x = 26

divide by -2

x = -13

6 0
3 years ago
Read 2 more answers
The numbers x and y are inversely proportional. When the sum of x and y is 42, x is twice y. What is the value of y when x = -8?
dolphi86 [110]

Answer:

y= -4

Step-by-step explanation:

x+y=42.   We know that x plus y equals 42.

x=2y .   We also know that x equals twice y.

2y+y=42.   Since we know that x=2y, we're going to replace x with 2y from the original equation, simplified would be 3y=42.

y=14.   3y=42 simplified is y=14, this is because we divided both sides by 3 (since 3 and 42 are both divisible by 3) (btw divisible by 3 simply means that it can be divided by 3)

x+14=42.   Now that we know what y equals, let's replace y with 14 from the original equation.

x=28.  Now that we know that x=28 and y=14, we know that y is always x/2.

When x=-8, we divide it by 2 and get, -4.

Not absolutely positive as this was all mental math, but hope this helps! :)

4 0
3 years ago
Please help me!!! I'm lost tap the attachment​
BabaBlast [244]

Answer:

Below.

Step-by-step explanation:

I'll do number 20, 21, 22 for you.

20.  It is ±1, ±2, ±4, ±8.

21.   Reflected over the x-axis and down 4.

22. Common ratio = 25/5 = 5.

23.  Imaginary roots occur in pairs so there is also a root -5i.

The answer is c.

19. Option (a).

This is a translation of 4 to the left ( due to the (x + 4).

3 0
3 years ago
robert has money in his saving account. he spent $35 of it on a new jacket. he has $70 left. how much money did he have his savi
aliina [53]
He had $105 in his savings
6 0
3 years ago
A professor has 24 pairs of socks in his drawer. 18 pairs are black and the rest are brown. He always wears black pants. He does
lesya692 [45]

Answer:

The likelihood that the professor's socks matched his pants on both days is 0.5625

Step-by-step explanation:

Total no. of pair of socks = 24

No. of black pairs = 18

We are given that  he selects one pair of socks on Monday and one on Tuesday. Since he has lots of clean socks in the drawer he does not do laundry.

So, It is  a case of replacement

He always wears black pants.

We are supposed to find he likelihood that the professor's socks matched his pants on both days i.e. Black socks both days.

So ,Probability of wearing black socks on Monday = \frac{18}{24}

So ,Probability of wearing black socks on Tuesday =\frac{18}{24}

So,the likelihood that the professor's socks matched his pants on both days = \frac{18}{24} \times \frac{18}{24}=0.5625

Hence the likelihood that the professor's socks matched his pants on both days is 0.5625

4 0
3 years ago
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