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Digiron [165]
3 years ago
6

Work out the size of angle x

Mathematics
1 answer:
mestny [16]3 years ago
5 0

Answer:

97 degrees

Step-by-step explanation:

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The perimeter of this triangle is 25 units. An angle bisector divides one side of the triangle into lengths of 2 and 3. Find the
grin007 [14]

Answer:

   8 and 12

Step-by-step explanation:

Sides on one side of the angle bisector are proportional to those on the other side. In the attached figure, that means

  AC/AB = CD/BD = 2/3

The perimeter is the sum of the side lengths, so is ...

  25 = AB + BC + AC

  25 = AB + 5 + (2/3)AB . . . . . . substituting AC = 2/3·AB. BC = 2+3 = 5.

  20 = 5/3·AB

  12 = AB

  AC = 2/3·12 = 8

_____

<em>Alternate solution</em>

The sum of ratio units is 2+3 = 5, so each one must stand for 25/5 = 5 units of length.

That is, the total of lengths on one side of the angle bisector (AC+CD) is 2·5 = 10 units, and the total of lengths on the other side (AB+BD) is 3·5 = 15 units. Since 2 of the 10 units are in the segment being divided (CD), the other 8 must be in that side of the triangle (AC).

Likewise, 3 of the 15 units are in the segment being divided (BD), so the other 12 units are in that side of the triangle (AB).

The remaining sides of the triangle are AB=12 and AC=8.

7 0
3 years ago
Simplify 15.6 divided by negative 3. . (5 points)
worty [1.4K]

Answer: -5.2

Step-by-step explanation:

8 0
3 years ago
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Is a trapezoid always a quadrilateral?<br> yes<br> no
Iteru [2.4K]

Answer:

The correct answer is that all trapezoids are quadrilaterals. ... Trapezoids are four-sided polygons, so they are all quadrilaterals.

Step-by-step explanation:

hope it helped ( ◜‿◝ )♡

3 0
2 years ago
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Pls help me I’m failing only do one I just need it to be in frame ._.
lorasvet [3.4K]

Answer:

get someone else to do it

Step-by-step explanation:

wish you luck

7 0
3 years ago
SAT Help
posledela
Well, their speeds are (V_1 is Jack's speed, and V_2 is Richard's.
V_1 = \frac{1}{5} houses/day \\ V_2 = \frac{1}{7} houses/day \\ V = V_1 + V_2 = \frac{1}{5}+\frac{1}{7} = \frac{7+5}{35} = \frac{12}{35}
They, together, can paint 12 houses in 35 days. To get a single house, we only have to calculate \frac{35}{12} which is very close to 3 (a bit below)
5 0
3 years ago
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