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Olin [163]
3 years ago
10

3. Triangle ABC has angle measures as shown.

Mathematics
2 answers:
dedylja [7]3 years ago
6 0

The 3 inside angles of a triangle need to equal 180 degrees.

Add the 3 angles together to equal 180:

X + x+2 + 6x +10 = 180

Simplify:

8x + 12 = 180

Subtract 12 from each side:

8x = 168

Divide each side by 8:

x = 168 / 8

X = 21

a) x = 21

b) C = 6x+10

replace x with 21:

6(21) + 10 =

126 +10 = 136

nataly862011 [7]3 years ago
5 0

Answer:

x = 21 and C = 136°.

Step-by-step explanation:

(a) Sum of all the triangle = 180°.

∠A + ∠B + ∠C = 180°.

∠A= X, ∠B = x +2 , ∠C = 6x+10.

X + x + 2 + 6x + 10 = 180°.

8x + 12 = 180°.

8x = 168.

x = 21.

(b) The measure of angle C can be done by substituting the vale of x = 21.

6x + 10, x= 21.

=6 × 21 + 10

=136°.

Thus, the value of x = 21 and C = 136°.

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A sandwich decrease from $8 to $6 what is the percentage decrease
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4 0
3 years ago
The sum of two numbers is 8, and their product is 15. What is the largest number?
AfilCa [17]
Hello there!

The sum of two numbers (x + y) is 8 (=8).
Their product (x * y) is 15 (=15).
x + y = 8
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First, we know that the two number must be positive and under 8, as the product is positive.

Let's list out some numbers that are from 1 to 8 that sum up to 8;
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Now, we need to multiply the two numbers that add up to 8, and see which makes a product of 15.
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Since we are looking for the larger number in our pairs, let's pick the largest one out of the correct pair, which is 5.

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3 years ago
The points , (−15,1) and , (−7,r) lie on a line with slope 5/4. Find the missing coordinate r. Click image to enlarge
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11 = r

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Hence the missing coordinate r is 11.

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