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GuDViN [60]
3 years ago
6

Please help me with the geometry.

Mathematics
1 answer:
Fynjy0 [20]3 years ago
8 0

Step-by-step Answer:

To prove

Triangle ADC is congruent to triangle BDC

AC=BC  (given)

DC=DC  (common)

AD=BD (given CD bisects AB)

Therefore triangle ACD is congruent to BDC  (justification: SSS)

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Graph x > -1 on the number line
Verdich [7]

Number Line:

Closed Circles are used when signs are "≤" or "≥"

Open Circles are used when signs are "<" or ">"

The graph of x > -1 on a number line would be towards the right from -1 with open circle as the sign is ">"

Graph should look like this:

7 0
2 years ago
What is the midpoint of a segment (-2,-7) and (7,4)
Rasek [7]

\bf ~~~~~~~~~~~~\textit{middle point of 2 points }&#10;\\\\&#10;(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-7})\qquad&#10;(\stackrel{x_2}{7}~,~\stackrel{y_2}{4})&#10;\qquad&#10;\left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right)&#10;\\\\\\&#10;\left( \cfrac{7-2}{2}~~,~~\cfrac{4-7}{2} \right)\implies \left(\cfrac{5}{2}~,~\cfrac{-3}{2} \right)\implies \left( 2\frac{1}{2}~,~-1\frac{1}{2} \right)

5 0
3 years ago
What's the common denominator of this equation?<br> 3 - b = 6-7
GuDViN [60]

Answer:

b = 4

Step-by-step explanation:

3 - b = 6 - 7

3 - b = -1

-b = -1 -3

-b = -4

b = 4

8 0
4 years ago
Read 2 more answers
HELP ME ASAP<br> 20 points !!!
Molodets [167]
Mode means ‘most often number’ .

The most often numbers are:
20 and 16

Reason:
20 is shown 3 times.
16 is shown 3 times.
19 is shown 2 times.
18 is shown once.

So, the two most occurring/often numbers are 20 and 16.

Give this answer Brainliest!
3 0
2 years ago
Ali, Carrie and Bryan received a sum of money. Bryan's money was 3/5 as much as Ali's money. The ratio of Ali's money to Carrie'
monitta

Answer:

The sum of money received by Ali, Carrie and Bryan is $ 740.

Step-by-step explanation:

At first we translate mathematically each sentence:

(i) <em>Ali, Carrie and Bryan received a sum of money. </em>

a - Ali's money.

b - Bryan's money.

c - Carrie's money.

(ii) <em>Bryan's money was </em>\frac{3}{5}<em> of  Ali's money</em>.

b = \frac{3}{5}\cdot a (1)

(iii) <em>The ratio of Ali's money to Carrie's money was 4 : 1</em>.

\frac{a}{c} = 4 (2)

(iv) <em>Ali had $ 160 more than Bryan</em>.

a = b + 160 (3)

After some algebraic handling, we have the following system of linear equations:

3\cdot a - 5 \cdot b = 0 (1b)

a - 4\cdot c = 0 (2b)

a - b = 160 (3b)

The solution of the system is: a = 400, b = 240, c = 100

The sum of money is:

s = a + b + c

s = 740

The sum of money received by Ali, Carrie and Bryan is $ 740.

4 0
3 years ago
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