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egoroff_w [7]
3 years ago
13

In triangle ABC, medians AD, BF, and CE intersect at G. What is the length of GE is CH=12?

Mathematics
1 answer:
sashaice [31]3 years ago
6 0
You do not have any point labeled "H" in your diagram.

What I can tell you is that point "G" (where all 3 medians meet) is called a centroid.
<span>
Along </span>each<span> median:</span>
the distance from EACH vertex to the centroid (point G) is TWICE the distance from the centroid to the side.
<span>CG = 2*GE   AG = 2*GD   BG = 2*GF


</span>
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Solve for x: 5x + 4z = 10z - 2x
Digiron [165]

Answer:

x= 6/7z

Step-by-step explanation:

5x + 4z = 10z - 2x

5x + 2x = 10z - 4z

7x = 6z

x = 6/7z

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3 years ago
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Kimberly shaded 4/8 of a sheet of notebook paper. Maria says she shaded 1/2 of the paper. Are the two fractions equivalent? If s
Illusion [34]

Answer:

They are equalivalent. 4 is half of 4 which makes is equal to 1/2

Step-by-step explanation:

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What is the value of a when we rewrite 8^x as a^-x/9​
Andre45 [30]

Answer:

a = \frac{1}{134217728}

Step-by-step explanation:

Given

8^x = a^{-x/9}

Required

Find a

Take log of both sides

log(8^x) = log(a^{-x/9})

Apply law of logarithm

x\ log(8)  = (-x/9) log(a)

Divide both sides by a

log(8)  = -\frac{1}{9} log(a)

Multiply both sides by -9

-9\ log(8)  = log(a)

Apply law of logarithm

log(8^{-9})  = log(a)

Cancel out log

8^{-9}  = a

Rewrite as:

a = 8^{-9}

Apply law of indices

a = \frac{1}{8^9}

a = \frac{1}{134217728}

4 0
3 years ago
What is (0.6)(-2.5)?
Troyanec [42]

Answer:

The correct answer is

-1.5

3 0
3 years ago
11/6358 long agurithum
miss Akunina [59]

Answer:

Least common multiple:

lcm (578; 11) = 6,358 = 2 × 11 × 172;

Numbers have no common prime factors: 6,358 = 578 × 11.

Step-by-step explanation:

Approach 1. Integer numbers prime factorization:

578 = 2 × 172;

11 is a prime number, it cannot be broken down to other prime factors;

Multiply all the prime factors, by the largest exponents.

Least common multiple:

lcm (578; 11) = 2 × 11 × 172;

lcm (578; 11) = 2 × 11 × 172 = 6,358

Numbers have no common prime factors: 6,358 = 578 × 11.

Integer numbers prime factorization

Approach 2. Euclid's algorithm:

Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd:

Step 1. Divide the larger number by the smaller one:

578 ÷ 11 = 52 + 6; Step 2. Divide the smaller number by the above operation's remainder:

11 ÷ 6 = 1 + 5; Step 3. Divide the remainder from the step 1 by the remainder from the step 2:

6 ÷ 5 = 1 + 1; Step 4. Divide the remainder from the step 2 by the remainder from the step 3:

5 ÷ 1 = 5 + 0; At this step, the remainder is zero, so we stop:

1 is the number we were looking for, the last remainder that is not zero.

This is the greatest common factor (divisor).

Least common multiple, formula:

lcm (a; b) = (a × b) / gcf, hcf, gcd (a; b);

lcm (578; 11) =

(578 × 11) / gcf, hcf, gcd (578; 11) =

6,358 / 1 =

6,358;

lcm (578; 11) = 6,358 = 2 × 11 × 172;

8 0
3 years ago
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