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1 year ago

I need help with my math.the problem is in the picture below.

Mathematics

1 answer:

Delvig [45]1 year ago

5 0

Given two similar triangles

So, the corresponding angles are congruent, and the corresponding sides are proportional

As shown:

m∠ Y = 35, m∠ X = 90

So, m∠ W = 90 - 35 = 55

And the triangle XYW is similar to the triangle ECD

So,

$\begin{gathered} m\angle C=m\angle Y=35 \\ m\angle D=m\angle W=55 \\ m\angle E=m\angle X=90 \end{gathered}$

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what is one and one half divided by one and one sixth and what is three fourths divided by one and three eights (brainliest will

butalik [34]

1 1/2 divided by 1 1/6 equals 1.28571429
Rounded: 1.28, 1.29, or 1.30 (depends on what they ask for)

3/4 divided by 1 3/8 equals 0.54545455
Rounded: 0.54 or 0.55

6 0

3 years ago

If tan θ=3\4 , find csc

Rom4ik [11]

In a rectangular triangle $\tan\theta\dfrac{opposite}{adjacent}$ .

We have $\tan\theta=\dfrac{3}{4}$

Therefore opposite = 3uints and adjacent = 4units.

$\csc\theta=\dfrac{hypotenuse}{opposite}$

We need the length of hypotenuse.

Use the Pythagorean theorem:

$h^2=3^2+4^2\\\\h^2=9+16\\\\h^2=25\to h=\sqrt{25}\to h=5units$

Substitute:

$\csc\theta=\dfrac{5}{3}$

3 0

4 years ago

Please help me answer this math question.

4vir4ik [10]

all 3 angles in a triangle need to equal 180 degrees

62 +73 = 135 degrees are known

180-135 = 45

so angle B = 45 degrees

3 0

3 years ago

Analyze the table below and answer the question that follows.

lora16 [44]

Answer:

C. Events E and A are independent

Step-by-step explanation:

we will verify each options

(a)

We can use independent events formula

P(B∩C)=P(B)*P(C)

we are given

P(B)=0.4

P(C)=0.25

P(B∩C)=0.05

now, we can plug these values into formula

and we get

0.05=0.4*0.25

0.05=0.1

we can see that left side is not equal to right side

so, this is FALSE

(b)

We can use independent events formula

P(D∩A)=P(D)*P(A)

we are given

P(D)=0.25

P(A)=0.6

P(D∩A)=0.1

now, we can plug these values into formula

and we get

0.1=0.25*0.6

0.1=0.15

we can see that left side is not equal to right side

so, this is FALSE

(c)

We can use independent events formula

P(E∩A)=P(E)*P(A)

we are given

P(E)=0.5

P(A)=0.6

P(E∩A)=0.3

now, we can plug these values into formula

and we get

0.3=0.5*0.6

0.3=0.3

we can see that both sides are equal

so, this is TRUE

(d)

We can use independent events formula

P(D∩B)=P(D)*P(B)

we are given

P(D)=0.25

P(B)=0.4

P(D∩A)=0.15

now, we can plug these values into formula

and we get

0.15=0.25*0.4

0.15=0.1

we can see that left side is not equal to right side

so, this is FALSE

8 0

3 years ago

find the equation of the line passing through the given point and perpendicular to the given equation write your answer in slope

Paraphin [41]

Slope-intercept form:

y = mx + b "m" is the slope, "b" is the y-intercept

For lines to be perpendicular, their slopes have to be the opposite/negative reciprocals (flipped sign and number)

For example:

slope is 2

perpendicular line's slope is -1/2

slope is -2/3

perpendicular line's slope is 3/2

3.) y = 2x - 2

The given line's slope is 2, so the perpendicular line's slope is -1/2

$y=-\frac{1}{2}x+b$ To find "b", plug in the point (-5 , 5) into the equation

$5=-\frac{1}{2}(-5)+b$

$5=\frac{5}{2}+b$ Subtract 5/2 on both sides

$5-\frac{5}{2}=b$ Make the denominators the same

$\frac{10}{2}-\frac{5}{2}=b$

$\frac{5}{2}=b$

$y=-\frac{1}{2}x+\frac{5}{2}$

4.) -6x + 5y = -10 Get "y" by itself, add 6x on both sides

5y = -10 + 6x Divide 5 on both sides

$y=-2+\frac{6}{5}x$

The given line's slope is 6/5, so the perpendicular line's slope is -5/6.

$y=-\frac{5}{6}x+b$ Plug in (-2, 5)

$5 = -\frac{5}{6}(-2)+b$

$5=\frac{10}{6}+b\\ 5=\frac{5}{3}+b$ Subtract 5/3 on both sides

$5-\frac{5}{3} =b$ Make the denominators the same

$\frac{15}{3}-\frac{5}{3}=b\\\frac{10}{3} =b$

$y = -\frac{5}{6}x+\frac{10}{3}$

7.) Perpendicular line's slope is -2

y = -2x + b Plug in (1,4)

4 = -2(1) + b

4 = -2 + b

6 = b

y = -2x + 6

8.) Perpendicular line's slope is -1/4

$y = -\frac{1}{4}x+b$ Plug in (-5 , 2)

$2=-\frac{1}{4}(-5)+b$

$2 = \frac{5}{4}+b$ Subtract 5/4 on both sides

$2-\frac{5}{4}=b$ Make the denominators the same

$\frac{8}{4}-\frac{5}{4}=b$

$\frac{3}{4}=b$

$y=-\frac{1}{4}x+\frac{3}{4}$

5 0

3 years ago