Answer:
(19x - 1)° = 56°
(13x - 5)° = 34°
Step-by-step explanation:
Property of the interior angles of a triangle:
Sum of interior angles of a triangle is 180°.
Therefore, sum of angles of the given right triangle will be,
(19x - 1)° + (13x - 5)° + 90° = 180°
32x - 6 + 90 = 180
32x = 96
x = 3
(19x - 1)° = 19×3 - 1 = 56°
(13x - 5)° = 13×3 - 5 = 34°
Answer:
531 in^2
Step-by-step explanation:
21 x 18 = 378 in^2
17 x 9 = 153 in^2
378 + 153 = 531 in^2
Answer:
60 tiles left over
Step-by-step explanation:
the lobby needs 30 x 8 = 240 tiles.
she has 6 x 50 = 300 tiles
300 - 240 = 60 left over
Answer:
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The triangle ABD is an isosceles triangle
because
AB=BD
The segment BM is a perpendicular bisector segment AD
so
<em>In the right triangle ABM</em>
Applying the Pythagorean Theorem
we have
substitute
-----> equation A
<em>In the right triangle BMC</em>
Applying the Pythagorean Theorem
we have
substitute
----> equation B
equate equation A and equation B
solve for x
Simplify
<em>Find the length of DC</em>
substitute the given values
The Answer is 21 because 7 and 3 can go in it as well
