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3 years ago

11/16 + 10/12 + 6/8 =

Mathematics

1 answer:

Helen [10]3 years ago

5 0

Answer:

2 13/48 or 109/48

Step-by-step explanation:

Find the least common denominator

16 * 3 = 48

12 * 4 = 48

8 * 6 = 48

Convert all fractions into the common denominator of 48

33/48 + 40/48 + 36/48

Add

109/48

Simplify

2 13/48

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Prove ΔPAB is isosceles.

Licemer1 [7]

Answer:

See explanation

Step-by-step explanation:

If $PX\cong PY,$ then triangle PXY is isosceles triangle. Angles adjacent to the base XY of an isosceles triangle PXY are congruent, so

$\angle 1\cong \angle 2$

and

$m\angle 1=m\angle 2$

Angles 1 and 3 are supplementary, so

$m\angle 3=180^{\circ}-m\angle 1$

Angles 2 and 4 are supplementary, so

$m\angle 4=180^{\circ}-m\angle 2$

By substitution property,

$m\angle 4=180^{\circ}-m\angle 2=180^{\circ}-m\angle 1=m\angle 3$

Hence,

$\angle 3\cong \angle 4$

Consider triangles APX and BPY. In these triangles:

$PX\cong PY$ - given;
$\angle 5\cong \angle 6$ - given;
$\angle 3\cong \angle 4$ - proven,

so $\triangle APX\cong \triangle BPY$ by ASA postulate.

Congruent triangles have congruent corresponding sides, then

$AP\cong BP$

Therefore, triangle APB is isosceles triangle (by definition).

6 0

3 years ago

What is 64x64? and I know if you use a calculator =)

Savatey [412]

Answer:

4096

Step-by-step explanation:

7 0

3 years ago

What is the measure of an interior angle of a regular 360-gon

marissa [1.9K]

Answer:

The sum of any 360-gon's interior angles is 64440 degrees.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

4<br> Select the correct answer.<br> Which of these mappings is a function?

melomori [17]

Answer:

? i need a better explanation for ur questoin

Step-by-step explanation:

3 0

3 years ago

The longest side of a triangle is 5 inches longer than the shortest side. The medium side is 2 inches longer than the shortest s

Rom4ik [11]

If we refer to the longest side as x and the shortest side as y and the medium side as z then we come up with this formation:

x+y+z= 22

y is shorter than x by 5 inches so y= x-5

z is longer than y by 2 inches therefore z= x-5 +2

therefore:
x+(x-5)+(x-5+2)=22
x+x-5+x-5+2=22
3x-8=22
3x= 22-8
3x=14
x=
$\frac{14}{3}$

replace x in y and z in previous formations

5 0

3 years ago