MATHEMATICS HIGH SCHOOL

What side do DEC and EDB have in common?

Answers

Answer 1

Answer:

Answer:

DE is the common side in the two triangles

Explanation:

The side of the triangle is named based on its start and end points

A triangle is named based on its three vertices where each two vertices would join forming a side

For ΔDEC, the sides are:

DE, EC and DC

For ΔEDB, the sides are:

ED, DB and EB

By comparing the two triangles, we would find that DE is the common side in both triangles

Note: The visual illustration is in the attached image

Hope this helps :)

Answer 2

Answer: If this were an angle it would surely be side DE & ED because both sides of that certain angle contains both point D and point E. It would serve as the common sides of that angle. This one is not adjacent to each other but both share common sides and also not common vertex.

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Which sum is equal to x^2+6x-5/x^2-25

Answers

Answer: The sum will be given as

$1+(6x+20)/(x^2-25)$

Step-by-step explanation:

Since we have given that

$(x^2+6x-5)/(x^2-25)$

We just need to simplify and get the sum :

$\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}x^2+6x-5\mathrm{\:and\:the\:divisor\:}x^2-25\mathrm{\::\:}(x^2)/(x^2)=1\n\n\mathrm{Quotient}=1\n\n\mathrm{Multiply\:}x^2-25\mathrm{\:by\:}1:\:x^2-25\n\n\mathrm{Subtract\:}x^2-25\mathrm{\:from\:}x^2+6x-5\mathrm{\:to\:get\:new\:remainder}\n\n\mathrm{Remainder}=6x+20\n\n(x^2+6x-5)/(x^2-25)=1+(6x+20)/(x^2-25)$

Hence, the sum will be given as

$1+(6x+20)/(x^2-25)$

1/x+5 + x/x-5 i think so

Distance between (-1,2) (7,8)

Answers

The distance between any two points is

   square root of ( [difference in the 'y's]² + [difference in the 'x's]² )

Difference in the 'y's = 8 - 2 = 6
Difference in the 'x's = 7 - (-1) = 8

Distance between them =

   square root of ( 6² + 8² ) =

   square root of ( 36 + 64 ) =

   square root of ( 100 ) = 10 .

Answer: 10

Step-by-step explanation: In this problem, we're asked to find the distance between the points (-1,2) and (7,8) so we use the distance formula which states that the distance between two points is equal to

$d =\sqrt{(x^(2) - x^(1))^(2) + (y^(2) - y^(1))^(2) }$ .

Our first point, (-1,2) represents ( $^(x) 1$ , $^(y)1$ ) and our second point,

(7,8) represents ( $^(x)2$ , $^(y)2$ ).

So, plugging the given information into the formula, we have $\sqrt{7 - (-1))^(2) + (8 - 2)^(2)}$ .

Next, we simplify inside the parentheses to get $\sqrt{(8)^(2) + (6)^(2)}$ .

Next, 8² is 64 and 6² is 36 so we have $√(64 + 36)$ or $√(100)$ which is 10.

So the distance between the points (-1,2) and (7,8) is 10.

-3(x + 4) = (-x - 1)

Answers

Answer:

x=-5.5

Step-by-step explanation:

-3(x+4)=(-x-1)

1. Distribute

-3x+(-12)=-x-1

2. Simplify

-3x-12=-x-1

-2x-12=-1

-2x=11

x=-11/2

x=-5.5

Answer:

-11/2 or 5.5

Step-by-step explanation:

Geoff planted dahlias in his garden. Dahlias have bulbs that divide and reproduce underground. In the first year, Geoff’s garden produced 8 bulbs. In the second year, it produced 16 bulbs, and in the third year it produced 32 bulbs. If this pattern continues, how many bulbs should Geoff expect in the sixth year?A. 64
B. 512
C. 128
D. 256

Answers

1st = 8, 2nd = 16, 3rd = 32, doubling each time so 4th = 64, 5th = 128,

6th = 256

What fraction of a pound is eighty pence

Answers

TRY TO ESTIMATE it

just to see

In the diagram, the measure of angle 8 is 124°, and the measure of angle 2 is 84°. What is the measure of angle 7? 56° 84° 96° 124°

Answers

Answer: 56 degrees

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Explanation:

The information about angle 2 is unnecessary info that your teacher likely put in there as a distraction. All we need is angle 8, which is 124 degrees. Angle 7 adds to this to form a 180 degree straight angle.

(angle 7) + (angle 8) = 180

(angle 7) + 124 = 180

angle 7 = 180 - 124

angle 7 = 56 degrees

Answer:

The measure of angle 7 is 56°.

Step-by-step explanation:

here, angle 8 = 124°

now, angle 8+ angle 7=180° (as the sum of linear pair is 180°)

or, 124°+angle 7=180°

or, angle 7=180°-124°

Therefore, tge measure of angle 7 is 56°.