Solve Similar triangles
Solve for x.
x=?

Answer:

Step-by-step explanation:

f(x)  = 2x² + 14x - 4

= 2(x² + 7x) - 4

= 2(x² +7x + 3.5²) - 2(3.5²) - 4

= 2(x+3.5)² - 28.5

vertex (3.5, -28.5) = (7/2, -57/2)

The vertical intercept is the y-intercept, i.e., f(0) = -4.

The x-intercepts are the values of x for which y=0.

2x² + 14x - 4  = 0

x = [-14±√(14²-4(2)(-4))]/[2(2)] = [-7±√57]/2 ≅ -7.27, 0.27

NOT NECESSARILY would a triangle be equilateral if one of its angles is 60 degrees. To be an equilateral triangle (a triangle in which all 3 sides have the same length), all 3 angles of the triangle would have to be 60°-angles; however, the triangle could be a 30°-60°-90° right triangle in which the side opposite the 30 degree angle is one-half as long as the hypotenuse, and the length of the side opposite the 60 degree angle is √3/2 as long as the hypotenuse. Another of possibly many examples would be a triangle with angles of 60°, 40°, and 80° which has opposite sides of lengths 2, 1.4845 (rounded to 4 decimal places), and 2.2743 (rounded to 4 decimal places), respectively, the last two of which were determined by using the Law of Sines: "In any triangle ABC, having sides of length a, b, and c, the following relationships are true: a/sin A = b/sin B = c/sin C."¹

Answer:

A= -2

Step-by-step explanation:

Hope I helped!! Negitive 2

Answer:

get help here http://msflowersmath.weebly.com/uploads/2/7/8/6/27867809/8.3.pdf

Answer:

a) 4:13

b) 9:13

Step-by-step explanation:

Answer:

Am sure 18 cause 1/3=9then2/3will be 18

Answer:

[ -3 +(-5)][-3-(-5)]

( -8)(2)

= 16

Step-by-step explanation:

where there's x put-3 and where there's y put-5

I don't see =0 so I don't believe you will have to equate further

Answer:

-16

Step-by-step explanation:

Hello There!

For this one we also need to plug in the values and solve

(-3+(-5)(-3-(-5)

first lets distribute the -3 to -3 and -(-5)

-3x-3=9

-3x5=-15

9-15=-6

now lets distribute the -5 to the -3 and -(-5)

-5x-3=15

-5x5=-25

-25+15=-10

-10-6=-16

so the answer would be -16

Answer:

Search up equilvlant calculator

Step-by-step explanation:

hoped thishelped

Answer:

[tex]\sqrt{65}[/tex] is the closest to 8

Step-by-step explanation:

[tex]\sqrt{61}=7.81 \\\sqrt{66}=8.12 \\\sqrt{65} =8.06\\\sqrt{62} =7.87[/tex]

Answer:

x = 35°

Step-by-step explanation:

180 - (40+40) = 2x+30

180 -80 = 2x+30

100 = 2x+30

2x = 100-30

x = 70/2

x = 35°

Answer:

Sorry I don't know this.

Step-by-step explanation:

Answer:

wheel: radius=3/2  diameter=3  circumference=3pi

propeller: radius=24  diameter=48  circumference=48pi

orange: radius=10/pi  diameter=20/pi  circumference=20

Step-by-step explanation:

Step-by-step explanation:

code:257 403 0731

Pass:HELLO

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Slope of y = -⅓x + 3 is -⅓ (on comparing with m of y = mx + c)

As the required line is perpendicular to this, slope of the required line = - 1 / (-⅓) = 3

Equation:

=> y - y1 = m(x - x1)

=> y - 0 = (3)(x - (-2))

=> y = 3(x + 2)

=> 3x - y + 6 = 0

Answer:

m<5 = 129°

Step-by-step explanation:

m<5 + 51° = 180° => same-side interior angles theorem (same-side interior angles are supplementary)

m<5 + 51° - 51° = 180° - 51° => subtraction property of equality

m<5 = 129°

Answer:

solution given:

<5+<51°=180°[co- interior angle]

<5=180°-<51°=129°

<4=129° is your answer

Answer:

12 50 I don't know

Step-by-step explanation:

Answer:

your answer will be A. 12/24

Step-by-step explanation:

XZ=12+12=24

COSX=12/24

hope this helps you...

Answer:

i dont know im just doing this for the points

Answer:

It should be a circle over 1 followed by an arrow going to the left

Step-by-step explanation:

The circle signifies it is not including, and the arrow going left shows all numbers less than 1

Answer:6 cartons wide

Step-by-step explanation:

It is 6 cartons wide due to the fact that there is no room left over. Awnser achived through text.

Answer:

27 feet

Step-by-step explanation:

If you draw the triangle, the hypotenuse is 387 feet and an angle is 4 degrees. The leg opposite this angle is [tex]387 \cdot \sin 4^\circ[/tex], which is about 26.996, so the nearest foot is 27 feet.

(brainliest pls)

Answer:

d. 9x + 63 and 63 square feet

Step-by-step explanation:

Given

Original

[tex]Length = x[/tex]

[tex]Width = 9[/tex]

Extended

[tex]Length = x + 7[/tex]

[tex]Width = 9[/tex]

[tex]Area = 9(x + 7)[/tex]

Required

Determine an expression and the value of the extended area

First, we calculate the area of the original desk

[tex]A_1 = x * 9[/tex]

[tex]A_1 = 9x[/tex]

From the given parameters, we have:

[tex]Area = 9(x + 7)[/tex] --- area of the new surface

Open bracket

[tex]Area = 9x + 63[/tex]

The area of the new surface is the summation of the area of the original desk and the area of the extended portion (E)

So:

[tex]Area = A_1 + E[/tex]

Make E the subject

[tex]E= Area - A_1[/tex]

[tex]E= 9x + 63 - 9x[/tex]

[tex]E= 63[/tex]

Hence, the area of the extended portion is 63

Answer:

0.000004 = 0.0004% probability of getting 7 or fewer minorities if the jury pool was randomly selected.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either it was a minority, or it was not. The probability of a person being a minority is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Jury of 90 people:

This means that [tex]n = 90[/tex]

27% were minorities.

This means that [tex]p = 0.27[/tex]

Find the probability of getting 7 or fewer minorities if the jury pool was randomly selected.

This is:

[tex]P(X \leq 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{90,0}.(0.27)^{0}.(0.73)^{90} \approx 0[/tex]

[tex]P(X = 1) = C_{90,1}.(0.27)^{1}.(0.73)^{89} \approx 0[/tex]

[tex]P(X = 2) = C_{90,2}.(0.27)^{2}.(0.73)^{88} \approx 0[/tex]

[tex]P(X = 3) = C_{90,3}.(0.27)^{3}.(0.73)^{87} \approx 0[/tex]

[tex]P(X = 4) = C_{90,4}.(0.27)^{4}.(0.73)^{86} \approx 0[/tex]

[tex]P(X = 5) = C_{90,5}.(0.27)^{5}.(0.73)^{85} \approx 0[/tex]

[tex]P(X = 6) = C_{90,6}.(0.27)^{6}.(0.73)^{84} \approx 0[/tex]

[tex]P(X = 7) = C_{90,7}.(0.27)^{7}.(0.73)^{83} = 0.000004[/tex]

So

[tex]P(X \leq 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 7*0 + 0.000004[/tex]

0.000004 = 0.0004% probability of getting 7 or fewer minorities if the jury pool was randomly selected.

Answer: 25.12

Step-by-step explanation: good luck

5 = (20%) x (total)

5 = (0.20) x (total)

Divide each side by (0.20):

Total = (5 / 0.20)

Total = 25

Answer:

B. {robin, sparrow, pelican}

Step-by-step explanation:

hope it helps you...

The outcomes are in A and B is,

⇒  {robin, sparrow, pelican}

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Let event A = The animal is a bird

Let event B = The animal can fly.

Hence, We get;

The outcomes are in A and B in which animal is a bird and also can fly.

Thus, The outcomes are in A and B is,

⇒  {robin, sparrow, pelican}

Hence, The outcomes are in A and B is,

⇒  {robin, sparrow, pelican}

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Answer:

The answer should be B

Answer:

17

Step-by-step explanation:

2 expressions equal are defined as equivalent expressions