The triangles in the picture are congruent by which method

2) AY RA O positive zero O negative O undefined

bezimeni [28]

Answer:

negative

hope it helps;)

8 0

3 years ago

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one of the comers of a cube is sliced off the resulting cross section will have a minimum of ? Sides ?

Molodets [167]

a corner of a cube connects 3 sides to each other,

then add the side of the cut

so it would have 4 sides

8 0

3 years ago

For the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled b

dmitriy555 [2]

Answer:

2019.

Step-by-step explanation:

We have been given that for the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled by $H = 1,500e^{0.053t}$ where t is the number of years past 2000.

To find the year in which national health care expenditures expected to reach $4.0 trillion (that is, $4,000 billion), we will substitute $H=4,000$ in our given formula and solve for t as:

$4,000= 1,500e^{0.053t}$

$\frac{4,000}{1,500}=\frac{ 1,500e^{0.053t}}{1,500}$

$\frac{8}{3}=e^{0.053t}$

$e^{0.053t}=\frac{8}{3}$

Take natural log of both sides:

$\text{ln}(e^{0.053t})=\text{ln}(\frac{8}{3})$

$0.053t\cdot \text{ln}(e)=\text{ln}(\frac{8}{3})$

$0.053t\cdot (1)=0.9808292530117262$

$\frac{0.053t}{0.053}=\frac{0.9808292530117262}{0.053}$

$t=18.506212320$

So in the 18.5 years after 2000 the expenditure will reach 4 trillion.

$2000+18.5=2018.5$

Therefore, in year 2019 national health care expenditures are expected to reach $4.0 trillion.

7 0

4 years ago

Please help im desperate

gogolik [260]

Answer:

m

∠

N

=

67

∘

,

and

,

m

∠

P

=

113

∘

.

Explanation:

By what is given,

m

∠

M

+

m

∠

N

=

90

∘

...

(

1

)

, and,

m

∠

N

+

m

∠

P

=

180

∘

...

.

(

2

)

Since,

m

∠

M

=

23

∘

, by (1), we get,

m

∠

N

=

90

∘

−

23

∘

=

67

∘

.

Using this in

(

2

)

, we get,

m

∠

P

=

180

∘

−

67

∘

=

113

∘

.

3 0

3 years ago

Can someone help please Stickers are sold in packages of 15 sheets. If there are 20 students in the class, how many packages of

MrRa [10]

Answer:

4 packages

Step-by-step explanation:

If there are 20 and stickers are sold in 15 sheets, then you got to work backwards. take the answer and multiply it by the amount of sheets. For example: 4 times 15 is 60, 60 divided by 20 is 3. No leftover numbers.

8 0

3 years ago

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