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3 years ago

Level D

Mathematics

1 answer:

nasty-shy [4]3 years ago

6 0

Answer:

Step-by-step explanation:

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What is two fifths plus one fourth plus one tenth

drek231 [11]

Answer:

3/4

Step-by-step explanation:

2/5+1/4+1/10=8/20+5/20+2/20=（8+5+2）/20=15/20=3/4

7 0

3 years ago

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

In the 2017 fiscal year, the state of Alaska received $8.2 billion In revenues and had $7.2 billion in expenditures. What percen

konstantin123 [22]

To figure this out you can do 7.2/8.2, because you are trying to figure out how much of the total was used, and percentages would not be more than 100%. Doing this you would get ~.878. To convert this to a percent, you would just multiply it by 100, which would give you 87.8%. The question states to round to the nearest whole percent, leaving you with 88%. This means that 88% of the revenue was spent.

Hope that helped, don't be shy to comment on this if you have any questions about my explanation :)

8 0

3 years ago

Solve the quadratic. x^2+8x+3=0

Reil [10]

Factor
find wht 2 numbers add to 8 and multiply to 3
none do

use quadratic formula which can be used when
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^{2}}-4ac }{2a}$

a=1
b=8
c=3

x= $\frac{-8+/- \sqrt{8^{2}-4(1)(3)} }{2(1)}$
x= $\frac{ -8+/- \sqrt{64-12} }{2}$
x= $\frac{ -8+/- \sqrt{52} }{2}$
x= $\frac{ -8+/- 2 \sqrt{13} }{2}$
x= $-4+/- \sqrt{13}$

x= $-4+ \sqrt{13}$ or x= $-4- \sqrt{13}$
aprox x=-7.60555 or x=-0.394449

6 0

3 years ago

Read 2 more answers

Change 3/8 to a decimal using long divison

sveta [45]

Answer:

.375

Step-by-step explanation:

8 0

3 years ago