Directions: Solve for x. Round your answer to the nearest tenth. Make sure you calculator
is in degree mode!
11
35

[tex]\boxed{Given:}[/tex]

Length of the perpendicular ( opposite ) = 6 cm.

Length of the base ( adjacent ) = 8 cm.

[tex]\boxed{To\:find:}[/tex]

The smallest angle of the triangle.

[tex]\boxed{Solution:}[/tex]

[tex]\sf\purple{C.\:37°}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

In a right-angled triangle, if two sides are given, the measure of the unknown angle can be known.

Since the value of opposite and adjacent sides are given, we use the tangent formula.

tan θ = [tex]\frac{opposite}{adjacent}[/tex]

✒ tan θ = [tex]\frac{6 \: cm}{8 \: cm}[/tex]

✒ θ = [tex]{tan}^{ - 1}[/tex] (0.75)

✒ θ = 36.9°

✒ θ = 37°

Now let us find the other unknown angle 'x'.

We know that,

Sum of angles of a triangle = 180°

✒ 37° + x + 90° = 180° (90° since it is a right-angled triangle)

✒ x + 127° = 180°

✒ x = 180° - 127°

✒ x = 53°

Therefore, the three angles of the triangle are 37°, 53° and 90°.

Hence, the smallest angle is 37°.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

Answer:

i don't know but o o o o right e o right e auto park

Answer:

4234324tgfgdfgdgd

Step-by-step explanation:

Answer:

Yessssss!

Step-by-step explanation:

Answer:

yess!! look up your question before you ask it :))))

thx for the points too hehe

Answer:

40 gallons of gas

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

the greatest common factor of 16 and 48 is 16

Factors for 16: 1, 2, 4, 8, and 16.

Factors for 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

Answer:

1. Convex 15-gon, Convex 18-gon, Convex 45-gon

2. Increases

3. Decreases

4. Increases

5. Stays the same

Step-by-step explanation:

The formula for finding the measure of an interior angle, θ, of a polygon with 'n' sides is given as follows;

[tex]\theta = \dfrac{(n - 2) \times 180}{n}[/tex]

1. Polygons that have interior angles with whole numbers are factors of 180

The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180

Therefore, from the options, the polygon that have whole number interior angles are;

15, 18, and 45

Which gives;

Convex 15-gon

θ₁₅ = (15 - 2) × 180°/15 = 156°

Convex 18-gon

θ₁₈ = (18 - 2) × 180°/18 = 160°

Convex 45-gon

θ₄₅ = (45 - 2) × 180°/45 = 172°

2. From the equation of the interior angles of a polygon, [tex]\theta = \dfrac{(n - 2) \times 180}{n}[/tex], we have;

As n increases, (n - 2)/n increases towards 1

Therefore, as the number of sides 'n' of a polygon increases, the interior angle of the polygon increases

3. Given that the sum of the interior and exterior angles of a polygon is 180°, as the interior angles increases as the number of sides increases, the exterior angle decreases

4. The total sum of the angles increases as the number of sides of the polygon increases and decreases as the number of sides of the polygon decreases

5. The sum of the exterior angles of a polygon is given as follows

[tex]n \times (180^{\circ} - \theta) = n \times \left(180^{\circ} - \dfrac{(n - 2) \times 180^{\circ}}{n} \right) = n\cdot 180^{\circ} - n\cdot 180^{\circ} + 360^{\circ}[/tex]

[tex]n \times (180^{\circ} - \theta) = 360^{\circ}[/tex]

Therefore, total sum of the exterior angles of a regular polygon is always (remains the same) 360°.

Answer:

the answer is the alphabet a

Answer:

[tex]p \: \alpha \: \frac{1}{q} \\ p = \frac{k}{q} \\ k \: is \: a \: constant \: of \: proportionality \\ when \: p \: is \: 9.. \: \: q = 16 \\ 9 = \frac{k}{16} \\ k = 144 \\ when \: p \: is \: 18 : \\ 18 = \frac{144}{q} \\ q = \frac{144}{18} \\ q = 8[/tex]

Answer:

981,518

Step-by-step explanation:

Have a nice day :)

Answer:

y = 2

Step-by-step explanation:

Using the sine ratio and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y = ([tex]\sqrt{2}[/tex] )² = 2

Answer:

ty

Step-by-step explanation:

mtj

Answer:

centre = (0, 0 ), radius = 5

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

x² + y² = 25 ← is in this form

with centre = (0, 0 ) and r = [tex]\sqrt{25}[/tex] = 5

Answer:

3

Step-by-step explanation:

i got it right on my test

Answer:

me :- mighty assassin-,-

xd

Answer:

do pi times diameter divided 8 and you'll get your answer :)

Step-by-step explanation:

so do 3.14 times 26.4 divided 8

Answer:

7 is a answer

Step-by-step explanation:

2a+3b

2×2+3×1

4+3

7

hope it helps....

[tex] \sf a = 2,\: b = 1[/tex]

[tex] \sf Q) \:2a + 3b = {?}[/tex]

[tex] \sf \implies 2a + 3b[/tex]

[tex] \sf \implies 2(2) + 3(1)[/tex]

[tex] \sf \implies 4 + 3[/tex]

[tex] \sf \implies 7[/tex] is the required answer.

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{\dfrac{9}{10} \div \dfrac{1}{5}}[/tex]

[tex]\mathsf{= \dfrac{9}{10}\times\dfrac{5}{1}}[/tex]

[tex]\mathsf{= \dfrac{9\times5}{10\times1}}[/tex]

[tex]\mathsf{9 \times 5 = \boxed{\bf 45} \ (numerator)}[/tex]

[tex]\mathsf{10\times 1 = \boxed{\bf 10} \ (denominator)}[/tex]

[tex]\mathsf{= \dfrac{45}{10}}[/tex]

[tex]\mathsf{= \dfrac{45\div5}{10\div5}}[/tex]

[tex]\mathsf{45\div 5 = \boxed{\bf 9} \ (numerator)}[/tex]

[tex]\mathsf{10 \div 5 = \boxed{\bf 2} \ (denominator)}[/tex]

[tex]\mathsf{= \dfrac{9}{2}}[/tex]

[tex]\mathsf{= 4\dfrac{1}{2}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf 4 \dfrac{1}{2}}\large\text{ \bf or }\mathsf{\bf \dfrac{9}{2}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

C(m) = 2.50 + 2m

Step-by-step explanation:

The fixed charge = charge per entry = $2.50

Charge per mile = $2

Function which represents the cost of a ride of m miles ;

Cost for m miles, C(m)

C(m) = charge per entry + cost per mile * number of miles

Where, number of miles = m

C(m) = 2.50 + 2m

Answer:

C(m) =2  m + 2.5

Step-by-step explanation:

I DID IN ED

Answer:

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

Step-by-step explanation:

Here are the steps I think you probably will go through.

1. Draw a line that is longer than the segment but shorter than the width of the page.

1a. Make sure this line is  at least 1/2 inch from the left hand side.  

2. Use a compass to measure the length of the original segment. Never use a ruler. Rulers do not exist in pure geometry.

3. Measure out the distance on the line you just drew with the compass. One end is on the left hand edge and the other end (the pencil end) is marking the segment so it is the same length as the compass. You are done.

The key step either two or three.The steps to copy a line segment are given below:

1. Lets start with a line segment AB that we have to copy.

2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.

3. Now, put the compass tip on point A of the line segment AB.

4. Spread the compass up to point B, so as the compass width is equal to length of AB.

5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.

6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.

7. Draw a line from C to D.

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

Answer:

the answer is 14m

Step-by-step explanation:

sorry Kung Hindi Tama aNg sagot.piro Sana makatolong

Answer:

$2.498

Step-by-step explanation:

Answer: 2 and 7

Step-by-step explanation: prime number is a number that is divisible only by itself and 1

Answer:

y= 6x -8

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the gradient and c is the y-intercept.

[tex]\boxed{gradient = \frac{y1 - y2}{x1- x2} }[/tex]

Gradient

[tex] = \frac{4 - ( - 2)}{2 - 1} [/tex]

= 6

y= 6x +c

To find the value of c, substitute the equation with a pair of coordinates.

When x= 1, y= -2,

-2= 6(1) +c

c= -2 -6 (-6 on both sides)

c= -8

Thus, the equation of the line is y= 6x -8.

Answer:

20

Step-by-step explanation: