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dalvyx [7]
3 years ago
8

Given that the measure of ∠x is 60°, and the measure of ∠y is 110°, find the measure of ∠z.

Mathematics
1 answer:
Nitella [24]3 years ago
6 0

Answer:

<h2>∠z = 10°</h2>

Step-by-step explanation:

A triangle is always 180 degrees.

If ∠x is 60°

and ∠y is 110°,

110 + 60 = 170

∠z = 10 degrees

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Which relation has a range of {0, 1, 2, 3}? (idk if its option 3 or not I just chose a random one)
Marina86 [1]

Answer:

Option 1

Step-by-step explanation:

Remember that range is the x values or the input. So in this case the inputs {0, 1, 2, 3} are all matching the ones in option one!

Hope this helps and have a great day!

3 0
3 years ago
Find the values of k so that each remainder is three. <br> 10. (x^2+ 5x + 7) = (x + k)
Goryan [66]

Answer:

k=1\text{ or } k=4

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a <em>binomial</em> in the form (x - a), then our remainder will be P(a).

We are dividing:

(x^2+5x+7)\div(x+k)

So, a polynomial by a binomial factor.

Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.

We want our remainder to be 3. So, P(a)=P(-k)=3.

Therefore:

(-k)^2+5(-k)+7=3

Simplify:

k^2-5k+7=3

Solve for <em>k</em>. Subtract 3 from both sides:

k^2-5k+4=0

Factor:

(k-1)(k-4)=0

Zero Product Property:

k-1=0\text{ or } k-4=0

Solve:

k=1\text{ or } k=4

So, either of the two expressions:

(x^2+5x+7)\div(x+1)\text{ or } (x^2+5x+7)\div(x+4)

Will yield 3 as the remainder.

5 0
3 years ago
Each week, Steven gets an allowance of $8 plus $3 for each chore he does. His younger sister Jill gets an allowance of $6 plus $
olasank [31]

Answer:

23

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
For the following inequality, indicate whether the boundary line should be dashed or solid. x ≤ 5
lukranit [14]
Answer: The boundary lien should be solid because the inequality indicates that the value “5” is included. Remember: “greater than or equal to; less than or equal to,” as solid lines. While “<;>” are dashed lines.
6 0
3 years ago
In the United States, there are 59 different species of mammals that are endangered,
jolli1 [7]

Given Information:

Number of endangered mammal species = 59

Number of endangered bird species = 75

Number of endangered fish species = 68

Required Information:

Probability of either a  mammal or a fish = ?

Answer:

P(mammal or fish) = 127/202 = 0.6287 = 62.87%

Step-by-step explanation:

We want to randomly select one animal and find out the probability of either a mammal or a fish.

The total number of endangered species of animals is given by

Total animals = mammal species + bird species + fish species

Total animals = 59 + 75 + 68  = 202

The probability of selecting a endangered mammal is

P(mammal) = no. of endangered mammal/total no. of endangered animals

P(mammal) = 59/202

The probability of selecting a endangered fish is

P(fish) = no. of endangered fish/total no. of endangered animals

P(fish) = 68/202

Finally, the probability of selecting either a mammal or a fish is

P(mammal or fish) = 59/202 + 68/202

P(mammal or fish) = 127/202

P(mammal or fish) = 0.6287

P(mammal or fish) = 62.87%

8 0
3 years ago
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