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Nadusha1986 [10]
3 years ago
15

I need help please I will mark you brainlists

Mathematics
1 answer:
V125BC [204]3 years ago
6 0

Answer:

2. ΔABC is isosceles

Step-by-step explanation:

Given : m∠A = 50

m∠BCD = 180 - (m∠BDC + m∠DBC)

              = 180 - (100 + 30)

              = 50

then

m∠A = m∠BCD

therefore ΔABC is isosceles

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Draw a line through point B that is perpendicular to AC. Label the intersection of the line and AC as point D. Take a screenshot
Murrr4er [49]

Answer:

Start at point B and draw a vertical line straight down to the bottom. The 2 angles that you have just created on the bottom should both be 90 degrees.

Step-by-step explanation:

4 0
3 years ago
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Why does multiple of 3 add up digits trick work?
kherson [118]
You must be referring to the quick way to determine whether a given integer is divisible by 3; that is, 3 divides an integer x whenever the digits of x sum to a multiple of 3.

Suppose x has n\ge1 digits. We can expand it as a sum of the numbers in any given digits place by the corresponding power of 10. For example, if x=2148, we can write

2148=2\times10^3+1\times10^2+4\times10^1+8\times10^0

More generally, if

x=d_{n-1}d_{n-2}\ldots d_1d_0

(where d_i denotes the numeral in the 10^i-th's place), then we have the expansion

x=d_{n-1}10^{n-1}+d_{n-2}10^{n-2}+\cdots+d_110^1+d_0

Notice that for any integer k, we have

10^k-1=\underbrace{99\ldots99}_{k\text{ 9s}}

which is clearly divisible by 3. So from each power of 10 in the expansion of x, we can add and subtract 1, then rearrange the terms of the sum:

x=d_{n-1}10^{n-1}+\cdots+d_110^1+d_0
x=d_{n-1}(10^{n-1}-1+1)+\cdots+d_1(10^1-1+1)+d_0
x=d_{n-1}(10^{n-1}-1)+\cdots+d_1(10^1-1)+(d_{n-1}+\cdots+d_1+d_0)

We know 10^k-1 is divisible by 3, which means the remainder upon dividing x by 3 is just the sum of the digits of x. If this remainder is divisible by 3, then so must be the original number, x.

Back to our previous example: if x=2148, then we have the expansion

2148=2\times10^3+10^2+4\times10+8
2148=2(999+1)+(99+1)+4(9+1)+8
2148=2\times999+99+4\times9+(2+1+4+8)

Dividing through by 3, we get a remainder of 2+1+4+8=15, which is divisible by 3, and so 2148 must also be a multiple of 3.

In case for some reason you're not convinced 15 is a multiple of 3, you can apply the same trick:

15=10+5
15=9+1+5

Dividing through by 3 leaves a remainder of 1+5=6, which is also a multiple of 3, so that 15 must be, too.
7 0
3 years ago
F(x) = x^2 +3x-2<br> F(a) = ?<br> find F(x) for the given domain.
Delvig [45]

Answer:

<em>a^2 +3a-2</em>

Step-by-step explanation:

Given the expression:

g(x) =  x^2 +3x-2

We are to find f(a). To get this, we will simply replace x with a in the expression as shown;

g(a) = a^2 +3a-2

<em>hence the required domain is expressed as g(a) = a^2 +3a-2</em>

3 0
3 years ago
Just number 2 please i’ve tried many times... i need an equation and the answer :)
Triss [41]

Keller collected $62.48 and Izzy collected $47.83 and J collected $19.98

Step-by-step explanation:

Step 1; Assume that J collected $x, Keller collected $y and Izzy collected $z. All three combined collected $125.95, so

x + y + z = 125.95, take this as equation 1.

From the given data, the following equations can be formed.

y = 42.50 + x or x = y - 42.50 take this as equation 2 and

y = 15 + z, take this as equation 3.

Step 2; Now we must determine x and y in terms of z, so that equation 1 can be solved (the equations can be in terms of any term x, y or z.)

Rearranging equation 2 and 3,

we get 15 + z so  x = y - 42.50, y = x = 15 + z - 42.50, take this as equation 4,

If we substitute equations 4, 2 in 1, we get

(15 + z - 42.50) + (15 + z) + z = 125.95,

3z - 12.5 = 129.95,

3z = 142.45, so z = 47.833.

Substitute z = 47.833 in equation 3.

y = 15 + 47.8333 = 62.4833.

Substitute y = 62.4833 in equation 2,

x = 62.4833 - 42.50 = 19.9833.

Rounding of the values of x,y, and z to nearest hundredth we get

x = $19.98, y = $62.48 and z = $47.48.

7 0
3 years ago
Your food costs are $5,500. Your total food sales are $11,000. What percent of your food sales do the food costs represent?
White raven [17]

Answer:

50

Step-by-step explanation:

5,500 is 50 percent of 11,000 :)

Hope This Helps.

4 0
3 years ago
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