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Lera25 [3.4K]
3 years ago
8

WILL MAKE U BRAINLIEST!!!!!!

Mathematics
2 answers:
mixas84 [53]3 years ago
4 0

Answer:

The answer is D) 53.1 degrees.


Hope it helps!


slega [8]3 years ago
4 0

Answer:

53.1°

Step-by-step explanation:

A rectangle triangle is formed, where 4/5 is the opposite side to θ and 3/5 is the adjacent side to θ (see figure attached).

From tangent definition:

tan θ = opposite/adjacent

tan θ = (4/5)/(3/5)

θ = tan^-1 (4/3)

θ = 53.1°

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Ana wrote four statements to describe circle S. Statements: AB is a diameter. ST , SP and SQ are radii. SQ = 12 cm PQ = 12 cm Ar
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<em><u>Two</u></em> of the four statements that Ana wrote are <em><u>correct</u></em>. Number 1, "AB is a diameter" is incorrect, and so is number 3, "SQ = 12 cm". AB is not a diameter because it is instead a chord. "ST , SP and SQ are radii" is correct because they are straight lines from the center of the circle to the circumference of the circle, which is the exact definition of radius. The third statemet is incorrect because since ST is a radius and it equals 6, that means all radii are equal to 6. SQ is a radius of circle S, so it should also equal 6, not 12. The last statement is correct because PQ is a diameter of circle S. By rule, the diameter is always equal to double of the radius. The radius is 6, so 6 x 2= 12.

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3 years ago
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4 years ago
What is the equation of the line that passes through<br> (-2, 4) and (2, 7)?
shepuryov [24]

Answer:

y=\frac{3}{4}x+\frac{11}{2}

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through (-2, 4) and (2, 7).

The most common way to write the equation of the line is in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.

First, let's find the slope of the line.

The slope, calculated from two points is given as the formula \frac{y_2-y_1}{x_2-x_1}, where (x_1, y_1) and (x_2, y_2) are points.

We have two points, which is needed to find the slope, but let's label their values to avoid confusion.

x_1=-2\\y_1=4\\x_2=2\\y_2=7

Now substitute those values into the formula.

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

m=\frac{7-4}{2--2}

Simplify

m=\frac{7-4}{2+2}

m=\frac{3}{4}

So the slope of the line is \frac{3}{4}.

Substitute that value as m in y=mx+b

y=\frac{3}{4}x+b

Now we need to find b

As the equation passes through both (-2, 4) and (2, 7), we can substitute the values of either one of them in the equation to solve for b

Taking (-2, 4) for example,

Substitute -2 as x and 4 as y:

4=\frac{3}{4}(-2)+b

Multiply

4=-\frac{3}{2}+b

Add -3/2 to both sides

\frac{11}{2} = b

Substitute that value into the equation

y=\frac{3}{4}x+\frac{11}{2}

Hope this helps!

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3 years ago
Does every acute triangle have 3 congruent sides?
Gemiola [76]
No. Just because the angles are all less than 90 degrees, that doesn't tell us anything about the sides. The sides are all congruent ONLY if all 3 angles are 60 degrees each. If the angles all have different sizes, then so do the sides.
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