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Andru [333]
3 years ago
15

What is the value of x​

Mathematics
1 answer:
Leokris [45]3 years ago
5 0

Answer:

X = 40°

Step-by-step explanation:

The sum of the interior angles in a triangle is 180°. This means that:

2X + 35 + 2X - 15 = 180° - we can simplify this

4X + 20 = 180° - now, subtract 20 from both sides

4X = 160° - finally, divide both sides by 4

X = 160 ÷ 4 = 40°

X = 40°

Hope this helps!

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How many quarts are in 2 & a half gallons
puteri [66]
Hi there!

Using some simple conversions we can determine how many quarts are in 2 & a half gallons.

1 gallon = 4 quarts.
2 gallons = 8 quarts.

Since we're trying to determine how many quarts are in 2 & a half gallons we can separate our problem into how many quarts are in two gallons and how many are in a half a gallon.

2 gallons = 8 quarts.
.5 gallon = 2 quarts.

After adding this together we come up with the answer that there are 10 quarts in 2 & a half gallons. :)

3 0
3 years ago
Read 2 more answers
Which of the following is NOT a formula for determining complementary probability?
forsale [732]

<em>Question:</em>

<em>Which of the following is NOT a formula for determining complementary probability?</em>

<em>A. P(outcome) = 1- P(-outcome)</em>

<em>B. P(outcome) - P(-outcome) = 1</em>

<em>C. P(outcome) + P(-outcome) =1</em>

<em>D. P(-outcome) = 1 - P(outcome)​</em>

<em></em>

Answer:

P(outcome) - P(-outcome) = 1

Step-by-step explanation:

Required

Determine which option is not a formula of complementary probabilities

From the list of given options, the complementary probabilities are P(outcome) and P(-outcome)

In probability;

P(outcome) + P(-outcome) = 1 --- Equation 1

Subtract P(outcome) from both sides

P(outcome) - P(outcome) + P(outcome) = 1 -  P(outcome)

P(-outcome) = 1 - P(outcome)  ------ Equation 2

Subtract P(-outcome) from both sides of equation 1

P(outcome) + P(-outcome) - P(-outcome) = 1 -  P(-outcome)

P(outcome)  = 1 -  P(-outcome)

Equation 1, 2 and 3 represents options A, C and D

While option B is out of place

<em>Hence, option B is not a formula of complementary probability</em>

3 0
4 years ago
The diagonals of this rhombus are 8 and 16 units long. Their intersection creates four right angles, two 4-unit-long segments, a
Roman55 [17]

Answer:

64\ \text{sq. units}

Step-by-step explanation:

Area of a rhombus is the product of the length of the diagonals divided by two.

Length of one diagonal is 8 units and the other diagonal is 16 units

Area is given by

A=\dfrac{8\times 16}{2}\\\Rightarrow A=64\ \text{sq. units}

The area of the rhombus is 64\ \text{sq. units}

Another approach is the diagonals have created 4 triangles where the base and is height is either 4 units long or 8 units long so the area of the rhombus would be the area of the 4 triangles.

A=4\times \dfrac{1}{2}\times 4\times 8\\\Rightarrow A=64\ \text{sq. units}

5 0
3 years ago
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pav-90 [236]
A.209


<span>276.37 – 67.81 = 208.56
The 5 in .56 means round up.
This means 208.56 will turn into 209.</span>
8 0
4 years ago
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Simplify the expression and combine like terms.<br> ​<br> 2 (x+6) + 3x + 4 =
Tatiana [17]
2x + 12 + 3x + 4.
= 5x + 16
4 0
4 years ago
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