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prisoha [69]
3 years ago
8

Find the value of x.​

Mathematics
1 answer:
tankabanditka [31]3 years ago
3 0

Answer:

13

Step-by-step explanation:

(11x - 15) + (5x - 13) = 180 (Since a straight line = 180°)

11x + 5x - 15 - 13 = 180 (Combine like terms)

16x - 28 = 180 (Simplify)

16x - 28 + 28 = 180 + 28 (Add 28 to both sides)

16x = 208 (Simplify)

16x ÷ 16 = 208 ÷ 16 (Divide both sides by 16)

x = 13 (Simplify)

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Help solving this math problem
daser333 [38]

Diagram of two triangles

The two triangles are similar because they are both right triangles, meaning that one angle is 90° and the other two are acute (less than 90°).

The diagram on the left is missing its hypotenuse - the variable <em>c</em><em>.</em><em> </em>The hypotenuse is opposite of the right angle. The diagram on the right side is missing one of its legs.

Note: The hypotenuse is the <em>longest</em><em> </em>side of a right triangle.

Word Problen

The legs are 21 blocks and 20 blocks because they are by the right angle. Use the Pythagorean theorem to find the diagonal path's length, which is the hypotenuse.

{a}^{2}  +  {b}^{2}  =  {c}^{2}

Standard form of Pythagorean theorem.

{21}^{2}  +  {20}^{2}  =  {c}^{2}

Equation with the legs substituted and the missing hypotenuse value - <em> </em><em>c</em><em>.</em>

841 =  {c}^{2}

Square the legs and add.

\sqrt{841}  = c

29 = c

Take the square root and simplify. The square root of 841 is 29 and -29, but distance is positive.

Thus the diagonal distance is 29 blocks.

Check by substituting.

5 0
3 years ago
What is the missing value of 3/10=x/20
svet-max [94.6K]
X would equal 6 because 3/10=6/20. And 6/20 simplifies to 3/10
4 0
3 years ago
The poduct of 10 and a number is 3 less than the number
Oxana [17]

Answer:

Step-by-step explanation:

10 x = x - 3     Subtract x from both sides

10x - x = - 3    Combine like terms on the left

9x = - 3           Divide both sides by 9

9x/9 = -3/9

x = - 1/3 or x = - 0.333333

3 0
3 years ago
4/9 kilograms of baking soda cost $1.50. How much does 1 kilogram of baking soda cost?
mrs_skeptik [129]

Answer:

Step-by-step explanation:

divide 1.5 by 4 to get 1/9 of the cost, and then multiply that by 9 to get the cost of one kilo.

or 3.375, round it for money purposes

$3.38

8 0
3 years ago
A right triangle, one exterior angle is 155°, what is measure of non adjacent, non right angle?
mina [271]
The measure of the non adjacent angle would be 125
4 0
3 years ago
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