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8090 [49]
3 years ago
8

8. Find the value of x in the diagram below. (2x+25) (3x)​

Mathematics
1 answer:
Katarina [22]3 years ago
8 0

(2x+25) (3x) = 0

6x+75x = 0

81x = 0

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Solving trigonometry equations.<br> 2sin^2=2+3sin
VikaD [51]
Move everything to the left hand side and factor, follow this 

8 0
3 years ago
what is the measure of the base angle,x, of the isosceles triangle shown below? round your answer to the nearest tenth of a degr
MAVERICK [17]

Answer:

x ≈ 49.7°

Step-by-step explanation:

Since, the given triangle is an isosceles triangle,

Two sides having measure 17 units are equal.

Opposite angles of these equal sides will be equal.

Measure of the third angle = 180° - (x + x)°

By sine rule,

\frac{\text{sinx}}{17}=\frac{\text{sin}(180-2x)}{22}

\frac{\text{sinx}}{17}=\frac{\text{sin}(2x)}{22} [Since, sin(180 - θ) = sinθ]

\frac{\text{sinx}}{17}=\frac{2(\text{sin}x)(\text{cos}x)}{22}

\frac{\text{sinx}}{17}=\frac{(\text{sin}x)(\text{cos}x)}{11}

\frac{1}{17}=\frac{(\text{cos}x)}{11}

cos(x) = \frac{11}{17}

x = 49.68°

x ≈ 49.7°

4 0
3 years ago
6.Find the value of x. Don't forget your reasons.<br> (x-38)
anzhelika [568]

Answer:

x = 109

Step-by-step explanation:

The figure has one pair of parallel sides and is a trapezoid.

The lower base angle is supplementary to the upper base angle on the same side, thus

x + x - 38 = 180 , that is

2x - 38 = 180 ( add 38 to both sides )

2x = 218 ( divide both sides by 2 )

x = 109

6 0
3 years ago
8) The height of a stack of CD cases is Proportional to the number of CD’s in the stack. A stack of 6 CD’s is 66mm high.* Find t
motikmotik

Step-by-step explanation:

well, when 6 CD cases are 66 mm high, then 1 CD case is 66/6 = 11 mm high.

a)

therefore, 10 CD cases are 11×10 = 110 mm high.

b)

y = 11x

3 0
2 years ago
What expression represents a number that is 1/4 as great as 10-2
PIT_PIT [208]

Answer: (10-2) + 1/4

Step-by-step explanation: This expression is 10-2 which si 5 and then 1/4 as great would be bigger than that so you add.

7 0
3 years ago
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