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julia-pushkina [17]
3 years ago
10

You’re given three angle measurements of 30°, 70°, and 80°. How many triangles can you construct using these measurements?

Mathematics
2 answers:
GREYUIT [131]3 years ago
6 0
The answer is C. Infinitely many because all measurements added together equals 180 degrees.
r-ruslan [8.4K]3 years ago
3 0
The answer is C. Infinitely many because all measurements added together equals 180 degrees. and you can always move the angles around but always has to be 180
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Monthly water bills for a city have a mean of $108.43 and a standard deviation of $36.98. Find the probability that a randomly s
GaryK [48]

Answer:

The bill size can be considered usual.

Step-by-step explanation:

Mean (μ) = $108.43

Standard deviation (σ) = $36.98

Now, consider the distribution to be normal distribution :

P(Z=\frac{X-\mu}{\sigma}>\frac{a-\mu}{\sigma})=P(Z>\frac{173-108.43}{36.98})\\\\\implies P(Z>1.75)

Now, finding values of z-score from the table. We get,

P(Z > 1.75) = 0.9599

⇒ 95.99%

So, only 4.01 % of the people in the city wastes water.

Hence, the bill size can be considered usual.

6 0
3 years ago
Read 2 more answers
Which expression shows a way to find 20% of 950? Please I need help thanks.
wolverine [178]

Answer:

the answer of the expression is 190

Step-by-step explanation:

Given expression as :

20 % of 950

Or, \frac{20}{100} times 950

Or, \frac{20}{100} × 950

Or, 20 × \frac{950}{100}

or, 20 × 9.5

∴ 190

7 0
3 years ago
Will mark BRAINLIEST!! — Point H is the circumcenter of triangle DEF. Which must be true? Check ALL that apply. See image.
Margarita [4]

Answer:

A, C, F

Step-by-step explanation:

Definition: The circumcenter is  the center of the triangle's circumcircle - the circle that passes through all three of the triangle's vertices. If point H is the circumcenter of the triangle DEF, then the circumcircle passes through its vertices D, E and F (option A is true).

Option B is false, the circumcircle doesn't pass through the points L, M and N. This option is true for inscribed circle, not for circumcircle.

Option C is true, because HD and HE are the radii of the circumcircle.

Option D is false. This option is true for inscribed circle, not for circumcircle.

Option E is false. This option is true for inscribed circle, not for circumcircle.

Option F is true, because both these angles are right angles.

8 0
2 years ago
What is 1/2x+1.5-2-7 simplified
Nady [450]
The answer is x/2-7.5 !!
6 0
3 years ago
Solve the system of equations by using the addition method
Paha777 [63]
How do you solve this system of equations using the addition method:
4
x
−
y
=
−
4
;
5
x
+
2
y
=
−
18
?
Algebra
1 Answer


IDKwhatName
Jun 30, 2017
x
=
−
2
,
y
=
−
4
Explanation:
Right now, you have:
4
x
−
y
=
−
4

5
x
+
2
y
=
−
18
To make this easier, you must get rid of one variable, in this case I will remove
y
, to do this you must make the y-values in both equations the same.
To do this, I will multiply the whole of
4
x
−
y
=
−
4
by 2 to give
8
x
−
2
y
=
−
8
We now have:
8
x
−
2
y
=
−
8

5
z
+
2
y
=
−
18
All we need to do now is
(
8
x
−
2
y
+
5
x
+
2
y
)
=
(
−
18
−
8
)
≡
13
x
=
−
26
.
Divide both sides by 13 to find
x
:
13
x
=
−
26

13
x
13
=
−
26
13

x
=
−
2
Now put your value for
x
into either equation:
4
(
−
2
)
−
y
=
−
4

−
8
−
y
=
−
4

y
=
−
8
+
4

y
=
−
4
x
=
−
2
;
y
=
−
4
Answer link
7 0
2 years ago
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