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mash [69]
3 years ago
5

Given: AB ≈ DC ; AC ≈ DB

Mathematics
1 answer:
Anit [1.1K]3 years ago
8 0

Answer:

Step-by-step explanation:

Given:

AB ≅ DC and AC ≅ DB

To Prove:

ΔABC ≅ ΔDCB

                  Statements                       Reasons

1). AB ≅ DC and AC ≅ DB         1). Given

2). BC ≅ CB                               2). Reflexive property

3). ΔABC ≅ ΔDCB                     3). SSS property of congruence

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the labelled price of a bag is Rs1,580. If 5% discount is allowed, calculate the selling price of the watch.solve it​
Ipatiy [6.2K]

Step-by-step explanation:

If there 5% is allowed in Rs 1,580 than the selling price of the watch is 1,501

7 0
3 years ago
Find the measure of one interior angle for the following regular polygon ​
kipiarov [429]

Answer:

144 degrees

Step-by-step explanation:

We can use the formula (n-2)(180), where n = number of sides, to find the sum of all the interior angles in the decagon. Since a decagon has 10 sides:

(n-2)(180) = ?

(10-2)(180) = ?

(8)(180) = 1440.

Now, to find one interior angle in the decagon, divide 1440 by the number sides in our polygon (10).

1,440/10 = 144

               = <u>144 degrees</u>

7 0
3 years ago
What is the the slope that passes through the points (4,-7) and (9,1)
bulgar [2K]

Answer:

8/5

Step-by-step explanation:

We can use the formula for finding slope for this:  \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\frac{1 - (-7)}{9 - 4}

\frac{8}{5}

The answer would be 8/5

3 0
3 years ago
Read 2 more answers
Line AC is tangent to circle O at point C<br> What is the measure of OAC?
Nuetrik [128]
AC is a tangent so by definition, it touches the circle at exactly one point (point C) and forms a right angle at the tangency point. So angle ACO is 90 degrees

The remaining angle OAC must be 45 degrees because we need to have all three angles add to 180
45+45+90 = 90+90 = 180

Alternatively you can solve algebraically like so
(angle OAC) + (angle OCA) + (angle COA) = 180
(angle OAC) + (90 degrees) + (45 degrees) = 180
(angle OAC) + 90+45 = 180
(angle OAC) + 135 = 180
(angle OAC) + 135 - 135 = 180 - 135
angle OAC = 45 degrees

Side Note: Triangle OCA is an isosceles right triangle. It is of the template 45-45-90. 
7 0
3 years ago
What is the expression for "the sum of 8 times a number and two"?
LiRa [457]

Answer:

8 N + 2

Step-by-step explanation:

==> 8 N + 2

-----------_________-------------

8 0
2 years ago
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