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larisa86 [58]
3 years ago
7

∆ABC ~ ∆WXY. What is the value of x? (show work)

Mathematics
1 answer:
brilliants [131]3 years ago
4 0
You need to set up ratios to solve for x.  It's all about proportions here.  I'm going to set up the ratio with the smaller triangle stuff (the one on the left) on top and the larger triangle stuff on bottom.  Corresponding sides rule the day.\frac{8}{12}= \frac{x}{18}.  Cross-multiply to solve for x. 12x=144 and x = 12.

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Ali Makes a Four digit number . The sum of the digit is 4 . The thousands digit and the unit digit are the same. The hundreds di
Tcecarenko [31]

Answer:

1021

Step-by-step explanation:

1+1=2 and it needs to add up to 4 so you add in another 2 in the only place left for it to go which is in the tens place because the first and last number have to be the same and 0 has to go in the hundreds place.

3 0
2 years ago
Mumu + mumu=-----------
Morgarella [4.7K]
The answer is umu( M + m )
4 0
3 years ago
Range of 12 13 19 16 32 15 13
xz_007 [3.2K]

Answer:

20

The range of a set of data is the highest number - the smallest number

32 - 12 = 20

The range is 20

6 0
3 years ago
Read 2 more answers
Solve for t<br> 3t-15 &lt; -3 and -4t &lt; 12
I am Lyosha [343]

<u>solu</u><u>tion</u>

<u>-4t</u> < <u>12</u> 3t-15<-3

-4 -4 3t<-3+15

t>-3 <u>3t</u><<u>12</u>

3 3

t<4

therefore the numbers that makes both equations right is -3<t<4

7 0
3 years ago
Solve the equation. Round to the nearest hundredth. Show work.
DerKrebs [107]

Answer:

The value of x = -0.46

Step-by-step explanation:

∵ 4e^{5x}-e^{-x}=-3e^{2x} ÷ e^{-x}

∴ \frac{4e^{5x}}{e^{-x}}-\frac{e^{-x}}{e^{-x}}=\frac{-3e^{2x}}{e^{-x}}

* Subtract the power of the same bases

∴ 4e^{6x}-1=-3e^{3x}

* Let e^{3x}=y

∴ e^{6x}=y^{2}

∴ 4y² - 1 = -3y

∴ 4y² + 3y - 1 = 0 ⇒ factorize

∴ (4y - 1)(y + 1) = 0

∴ y + 1 = 0 ⇒ y = -1

∴ 4y - 1 = 0 ⇒ 4y = 1 ⇒ y = 1/4

∵ y=e^{3x}

∴ y = -1 refused (e^{ax} never gives -ve value)

∴ e^{3x}=1/4 ⇒ insert <em>ln</em> in both sides

∵ lne^{ax}=axln(e)=ax ⇒ <em>ln</em>(e) = 1

∴ 3xln(e) = ln(1/4)

∴ 3x = ln(1/4)

∴ x = [ln(1/4)] ÷ 3 = -0.46

6 0
3 years ago
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