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Kobotan [32]
3 years ago
14

The measures of the angles in △ABC are given by the expressions in the table.

Mathematics
2 answers:
lozanna [386]3 years ago
6 0

Answer:THE CORRECT ANSWER ISSSSSS x=25

mb=65

mc=50



valina [46]3 years ago
3 0

Answer:

 

Step-by-step explanation:

Given: ∠A=65°, ∠B=3x-10 and ∠C=2x

To find: The value of x and then of ∠B and ∠C.

Solution:

In ΔABC, using the angle sum property of triangles, we get

∠A+∠B+∠C=180°

⇒65°+3x-10+2x=180°

⇒5x+55=180

⇒5x=125

⇒x=25

Thus, the value of x will be 25°

Now, the measure of angle B will be:

∠B=3x-10=3(25)-10=65°

⇒∠B=65°

And the measure of the angle C will be:

∠C=2x=2(25)

⇒∠C=50°

Therefore the measures of the angle B and angle C will be ∠B=65° and ∠C=50°.

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Answer:

234

Step-by-step explanation:

We want to find the summation from n = 2 to n = 10 of the equation -4 + 5n.

We can use the summation formula:

S=\frac{(a_1+a_n)*n}{2}, where a1 is the first term, a_n is the last term, and n is the number of terms

Here, we can say the first term occurs when n = 2:

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The number of terms is just 10 - 2 + 1 = 9 terms.

Substitute these in:

S=\frac{(a_1+a_n)*n}{2}

S=\frac{(6+46)*9}{2}=\frac{468}{2} =234

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3 years ago
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2 years ago
19. There were 20 drinks in a cooler.
ella [17]

For this case we have that the complete question is:

There were 20 drinks in a cooler. Joey drank 15% of the drinks. Sandra drank 1/5 of the drinks. Hannah drank 1/4 of the drinks. Tammy drank 30% of the drinks. How many drinks are left in the cooler? a 0 b 2 c 5 d 9

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So, Joey drank 3 drinks.

On the other hand, we have that Sandra drank \frac {1} {5}of the drinks:

20 * \frac {1} {5} = \frac {20} {5} = 4

Thus, Sandra drank 4 drinks.

In addition, Hannah drank\frac {1} {4} of the drinks:

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Where the variable "y" represents the amount of drinks equivalent to 30%.

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Answer:

Option B

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