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Free_Kalibri [48]
3 years ago
8

Nnnnnnnnnnnnnnnnnnnnnnn

Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0
Because the two triangles are similar, one is a scaled down version of the other.

You can figure out that scale by comparing two matching sides, in this case AD and AB.

AD = 2 and AB = 2+4 = 6

So 2/6 = 1/3, telling us each side of the smaller triangle is 1/3 the size of the original.

Now we need to find ED and know CB = 12. Knowing ED = 1/3 of CB:
ED = 1/3 • 12 = 4
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Determine which line is perpendicular to y = - 7/5x-2.​
tatuchka [14]

Answer:

y = 5/7 x  - 6

Step-by-step explanation:

For two lines to be perpendicular, the product of their slope must be -1

The slope of the given function is -7/5

Let the slope of the required function be m

m * -7/5 = -1

7/5 m = 1

7 = 5m

m = 5/7

The slope of the line perpendicular to the line is 5/7

The required equation (using any value of the y-intercept) is expressed as;

y = 5/7 x  - 6

Note that the y-intercept value was assumed and any value can be used

6 0
3 years ago
Tell whether the sequence is arithmetic if it is identify the common difference -1 7 15 23
zhuklara [117]
Yes it is a arithmetic sequence this is because you are adding 8 to each number to get the result of the next number
5 0
3 years ago
Answer key please I don’t know what to do cause i missed the days
Makovka662 [10]

Answer:

L 41/3  14   [200]  G

Step-by-step explanation:

4 0
3 years ago
find the factors of each number. Write the common factor ( CF ) and then state the greatest common factor ( GCF) .
Reptile [31]

Given:

Two numbers are 12 and 21

To find:

The factors of 12 and 21, then find the common factor and the greatest common factor.

Solution:

Two numbers are 12 and 21. The prime factors of these two numbers are

12=2\times 2\times 3

21=3\times 7

From the above factorization, it is clear that the factor 3 is common in both. So,

Common factor (CF) = 3

Only 3 is common in factorization of both. So,

Greatest common factor (GCF) = 3

Therefore, the common factor is 3 and the greatest common factor is also 3.

6 0
3 years ago
If CE bisects ZBCD and if m ZBCE = 3x - 6
horrorfan [7]

Answer:

m∠BCD = 90°

∠BCD is a right angle

Step-by-step explanation:

<em>If a ray bisects an angle, that means it divides the angle into two equal parts in measure</em>

∵ Ray CE bisects ∠BCD

→ Means divide it into two angles BCE and ECD which equal in measures

∴ m∠BCE = m∠ECD = \frac{1}{2} m∠BCD

∵ m∠BCE = 3x - 6

∵ m∠ECD = 2x + 11

→ Equate them to find x

∴ 3x - 6 = 2x + 11

→ Add 6 to both sides

∵ 3x - 6 + 6 = 2x + 11 + 6

∴ 3x = 2x + 17

→ Subtract 2x from both sides

∵ 3x - 2x = 2x - 2x + 17

∴ x = 17

∵ m∠BCE =  \frac{1}{2} m∠BCD

→ Substitute x in the measure of ∠BCE to find it, then use it to

   find m∠BCD

∵ m∠BCE = 3(17) - 6 = 51 - 6

∴  m∠BCE = 45°

∵ 45 = \frac{1}{2} m∠BCD

→ Multiply both sides by 2

∴ 90 = m∠BCD

∴ m∠BCD = 90°

→ The measure of the acute angle is less than 90°, the measure of

   the obtuse angle is greater than 90°, and the measure of the

   right angle is 90°

∴ ∠BCD is a right angle

6 0
3 years ago
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