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Andrei [34K]
4 years ago
7

Solve for x if the angles are 110 and 2x+3

Mathematics
2 answers:
katen-ka-za [31]4 years ago
7 0

Answer:

x=16

Step-by-step explanation:

Because this is an isosceles triangle the angle 2x+3 is the same as the missing angle. The angles in triangles add up to 180 degrees. 180-110=70.

Because the two angles are the same you can divide 70 by 2 to get 35.

35=2x+3.

35-3=2x+3-3

32=2x

32/2=2x/2

16=x

8_murik_8 [283]4 years ago
6 0
Since the triangle is an isosceles triangle, it’s base angles are equal which means two angles are 2x+3 and other angle is 110
Then
2x+3+2x+3+110=180(sum of angles of triangle)
4x+6=180-110
4x+6=70
4x=70-6
4x=64
x=64/4
x=16
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What is the probability of drawing a king and a 7 from a deck of cards without replacement?
Arte-miy333 [17]
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P of 7  = 4/51

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hope it helepd

6 0
4 years ago
Find three consecutive even integers for which -4 times the sum of the first and third is 192
Elena-2011 [213]

Answer:

  1. -26
  2. -24
  3. -22

Step-by-step explanation:

<u>Let x be the smallest number (first)</u>

<u>Let (x + 2) be the second number (second)</u>

<u>Let (x + 4) be the greatest number (third)</u>

<u>Set equation according to the given information</u>

-4 [x + (x + 4)] = 192

<u>Simplify parentheses</u>

-4 [x + x + 4] = 192

-4 [2x + 4] = 192

<u>Expand bracket and apply the distributive property</u>

(-4) · 2x + (-4) · 4 = 192

-8x - 16 = 192

<u>Add 16 on both sides</u>

-8x - 16 + 16 = 192 + 16

-8x = 208

<u>Divide -8 on both sides</u>

-8x / -8 = 208 / (-8)

\boxed{x=-26}

<u>Find the value of the second term</u>

x + 2 = (-26) + 2 = \boxed{-24}

<u>Find the value of the third term</u>

x + 4 = (-26) + 4 = \boxed{-22}

Hope this helps!! :)

Please let me know if you have any questions

6 0
3 years ago
In basketball, the number of points you score is given by the expression 3x + 2y + 1z x is three-pointers, y is two-pointers, an
nevsk [136]

Answer:

25 points

Step-by-step explanation:

To solve this question, we only need to substitute the variables x,y and z with the numbers of three pointers, two pointers and free throws respectively.

The expression to use is 3x + 2y + 1z.

After substitution:

The expression becomes 3(3) + 2(5) + 1(6)

9 + 10 + 6 = 25 points

3 0
3 years ago
Solve equation 7(10)^n=700
blondinia [14]

Answer:

Step-by-step explanation:

So first you would divide 7 both sides

7(10)^n=700

/7           /7

10^n=100

now we have to think 10 to what power is 100

10^2=100

so therefore n=2

8 0
3 years ago
I need help on my homework! i've tried a couple of times on these 3 but im confused thanks
statuscvo [17]
15/6=2.5 which is the scale factor since they are similar triangles. We divide each side of the large triangle by 2.5 to get the sides for the small triangle since they are similar. 20/2.5=8cm
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4 0
3 years ago
Read 2 more answers
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