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3 years ago

What is the value of x? 26° オー X= [?] Enter

Mathematics

2 answers:

GuDViN [60]3 years ago

4 0

Answer:

154 degrees

Step-by-step explanation:

A quadrilateral has the sum of the interior angles that is 360 degrees

for the tangent theorem we know that the angles where the lines intercept the circumference have a value of 90 degrees

x + 90 + 90 + 26 = 360

x + 206 = 360

x = 360 - 206

x = 154 degrees

Nat2105 [25]3 years ago

3 0

273 and my proof is x is the value of 1 and the answer is 273 cause 26 degrees is the value of 273

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3 years ago

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Steven is moving to another city next weekend and wants to rent a moving truck. The rental rates for two companies in his area a

ASHA 777 [7]

Answer:

Company (1) charges $1.12 per mile and company (2) charges $0.85 per mile

Company (2) is $7.4 cheaper.

Step-by-step explanation:

From the tables given in the picture,

Let the equation representing the rental 'y' and distance traveled 'x' is represented by,

y = mx + b

For company (1),

Here m = per mile rental charges = Slope of the graph

b = Initial charges

Since slope of the line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

m = $\frac{y_2-y_1}{x_2-x_1}$

Therefore, slope of the line passing through (30, 53.55) and (60, 87.15) will be,

m = $\frac{87.15-53.55}{60-30}$ = $1.12 per mile

So the equation will be,

y = 1.12x + b

Since this line passes through (30, 53.55),

53.55 = 1.12(30) + b

b = 53.55 - 33.6

b = 19.95

So the expression representing charges for the company (1) will be,

y = 1.12x + 19.95

For company (2),

Per mile charges = slope of the line

m = $\frac{78-56.75}{50-25}$

m = $0.85 per mile

Equation for the charges will be,

y = 0.85x + b

Since this line passes through (25, 56.75),

56.75 = 0.85(25) + b

b = 56.75 - 21.25

b = 35.5

Therefore, equation representing total charges for company (2) will be,

y = 0.85x + 35.5

By comparing per mile charges,

Company (1) charges $1.12 per mile and company (2) charges $0.85 per mile

Steven plans to drive 85 km in rental truck.

Charges for company (1),

y = 1.12x + 19.95

y = 1.12(85) + 19.95

y = $115.15

Charges for company (2),

y = 0.85x + 35.5

y = 0.85(85) + 35.5

y = $107.75

Difference in charges of both the companies = 115.15 - 107.75 = $7.4

Therefore, company (2) is $7.4 cheaper.

6 0

3 years ago

A 20-ft-long wire is used to support a television antaans. The wire is connected to the

MariettaO [177]

Answer:

The distance of base of wire to the base of tower is 13.27 ft

Step-by-step explanation:

Given as :

The measure of wire connected between base ad antenna top = 20 ft

The wire is connected to the antenna on tower at height h = 15 ft above the ground

Let The distance of base of wire to the base of tower = x ft

Let the angle drawn on ground = Ф

Now, According to question

In figure AOB

Sin angle = $\dfrac{\textrm perpendicular}{\textrm hypotenuse}$

i.e SinФ = $\dfrac{\textrm AB}{\textrm BO}$

Or, SinФ = $\dfrac{\textrm h}{\textrm 20}$

Or, SinФ = $\dfrac{\textrm 15}{\textrm 20}$

Or, SinФ = $\dfrac{\textrm 3}{\textrm 4}$

or, Ф = $sin^{-1}(\frac{3}{4})$

∴ Ф = 48.5°

Now, Again from figure

Tan angle = $\dfrac{\textrm perpendicular}{\textrm base}$

i.e TanФ = $\dfrac{\textrm AB}{\textrm OA}$

Or, Tan 48.5° = $\dfrac{\textrm h}{\textrm x}$

Or, 1.13 = $\dfrac{\textrm 15}{\textrm x}$

∴ x = $\dfrac{\textrm 15}{\textrm 1.13}$

i.e x = 13.27 feet

So, The distance of base of wire to the base of tower = x = 13.27 ft

Hence, The distance of base of wire to the base of tower is 13.27 ft Answer

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4 years ago

Find the measure of the angles

umka2103 [35]

Answer:

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3 years ago