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masha68 [24]
3 years ago
12

ABCD is a rhombus with diagonals intersecting at E. If m

Mathematics
1 answer:
Butoxors [25]3 years ago
3 0
*<span>ABCD is a rhombus with diagonals intersecting at E. If m<ABC = 4m<BAD, find m<EBC.
</span>Well, your question is a bit incomplete that makes it worse to give you exactly what you need. But, according to the fact that diagonals intersecting, all the angles =360 degrees.
Suppose \ \textless \ BAD=x. and \ \textless \ ABC=4x
which means that opposite ones are equal
so, the solution is : 
2(x+4x)=360
or could be 10x= 360&#10;&#10; x=36
So, we have : <span><BAD=36 and <ABC=144
And the answer is : </span><span>4m+m=180.
</span><span>Do hope you will find it helpful!

</span>
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PLEASE HELP 29 POINTS
Lina20 [59]

Write both numbers as a product of prime numbers:

  • 56=2³·7;
  • 96=2³·2²·3.

Then GCF(56,96)=2³=8.

Now you can rewrite the sum 56+96 as following two factors:

56+96=8·7+8·12=8·(7+12)=8·19 (here the first factor os GCF and the secomd factor is  the sum of two numbers 7 and 12 that do not have a common factor).

Answer: 56+96=8·19.

8 0
3 years ago
Read 2 more answers
the arithmetic sequence ai is defined by the formula: a1 = -53 ai = ai-1 + 6 find the sum of the first 880 terms in the sequence
maxonik [38]

Answer:

The sum of the first 880 terms in the sequence is 2,273,920.

Step-by-step explanation:

Arithmetic sequence:

The difference between consecutive terms is always the same, called common difference, and the nth term is given by:

a_{n} = a_0 + (n-1)d

In which d is the common difference.

Sum of the first n terms:

The sum of the first n terms of an arithmetic sequence is given by:

S_{n} = \frac{n(a_1+a_n)}{2}

ai = ai-1 + 6

This means that d = 6

In this question:

Sum of the first 800 terms, so n = 800

First term is -53, so a_1 = -53

The 880th term is:

a_{880} = -53 + (880-1)*6 = 5221

Sum

S_{n} = \frac{880(-53+5221)}{2} = 440(-53+5221) = 2273920

The sum of the first 880 terms in the sequence is 2,273,920.

4 0
3 years ago
BRAINLIEST TO WHOEVER IS CORRECT!!!
AysviL [449]

Answer:

y=-\frac{4}{3}x+2

Step-by-step explanation:

To write the equation for this line, we are going to use slope-intercept form, which is written as

y=mx+b.

Here are the meanings of each variable:

y= basically the "name" of the function and it always stays as y.

m= slope, which is rise over run.

x= variable that is always on the right of the slope and it always stays as x.

b= y-intercept, or the value that crosses the y-axis.

We will substitute numbers into the equation along the way. The first thing we will want to do is find b, which is the easiest.

The line crosses the y-axis at 2, so that is our value of b.

Our new equation is

y=mx+2.

Next, we will find the slope. The most efficient way of doing this is looking at the lowest point that is already provided, (3, -2), and finding a way to rise and run to the highest point, (0, 2).

If you look closely at the graph, we need to rise up 4 and run over -3 to get to the other point. Therefore, the slope is -\frac{4}{3}, and we can substitute it into our equation, which is completed and is now

y=-\frac{4}{3}x+2

I hope this helps you out!! Have an awesome day ^^

4 0
3 years ago
Make a tree diagram which shows the sample space of rolling a cube with faces numbered 1-6 and flipping a fair coin. Using this
Doss [256]

Answer:

C.)  P(5, H) = 1/12

Step-by-step explanation:

8 0
3 years ago
Write the equation using a fractional exponent<br><img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D2" id="TexFormula1" tit
gogolik [260]

<u>Answer:</u>

The equation using a fractional exponent \sqrt[3]{x^{2}} is x^{\frac{2}{3}}

<u>Solution:</u>

Given, term is cube root of x square

In numerical terms cube root of x square can be written as ⇒ cube root of x^{2} \rightarrow \sqrt[3]{x^{2}}

We have to write the expression for above given term in the form of fractional exponent of x.

In \sqrt[3]{x^{2}} , cube root is written in fractional form

\rightarrow\left(x^{2}\right)^{\frac{1}{3}}

Now, powers are multiplied

\rightarrow x^{2 \times \frac{1}{3}}

\rightarrow x^{\frac{2}{3}}

Finally x is in power of a fraction, so we got the required answer

5 0
4 years ago
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