solve for the unknown angle measure given that f || g

60 seventh graders make up 15% of the students in the school.

The procedure to solve this problem will be to first, divide 60 by 15 to find how much people make up 1%, and then multiply that number of people by 100% to find the total of students.

Step 1. Divide 60 people by 15% to find how many people are 1% of the students:

4 students are 1% of the total students.

Step 2. Now, we multiply the number we just find in step 1 by 100% to find the total amount of students in the school:

There are 400 students in the school.

Answer: 400

We know that ABC and EBF are complementary, or add up to 90°. So:

ABC + EBF = 90°
ABC = 30°
EBF = 6x°

6x° + 30° = 90°
6x° + 30 - 30 = 90 - 30
6x° = 60°
6x°/6 = 60°/6
x° = 10°

mRNA full form Messenger RNA (ribonucleic acid) which is a type of RNA found in cells.

A transcript of information from DNA. They carry the information from the DNA of  the nucleus of the cell to the cytoplasm where the proteins are manufactured. Thus it is also called  messenger RNA.

It carries genetic information which we will use to make proteins. They are necessary for protein formation.

In cells, mRNA  uses the information to make a map or a blueprint for making proteins. Once cells  finish making a protein, they break down the mRNA.

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To find the exact value of sec π/3, use a sp cial triangle with an angle

π/3 radians=60º.

Consider an equilateral triangle with each side length of 1 unit.

Recall that each angle in an equilateral triangle is 60º.

Draw the altitude of the triangle. Note that the altitude of an equilateral triangle is an angle bisector of the vertical angle and also a perpendicular bisector of its base:

Recall that the Secant Ratio in a right triangle is given as:

Substitute θ=60º, hypotenuse=1, and adjacent=1/2 into the equation:

The exact value of sec π/3 is 2.

The Solution.

Below is the given figure, which is a rhombus, since all the sides are equal.

For a rhombus, the diagonals intersect at a right angle, that is, 90 degrees.

Considering right-angled triangle DOC:

We shall find the length of the unknown diagonal by applying the Pythagorean Theorem.

So, the unknown diagonal is

Now, the area of the given figure can be calculated with the formula below:

Hence, the correct answer is 120 square units.

Answer:

Brooke with 13 ft/sec

Step-by-step explanation:

Ron is (12 ft/second)

To figure out Brooke we have to divide 329 by 24 to figure out her feet per second.

329/24 = 13.7083 so already is ahead of Ron.

To figure out Jessica we must first figure out the length of a mile in feet to keep the feet per second denominator going.

1 mile= 5280 ft

so now we divide

5280/591 = 8.9340

So Jessica is not the fastest so Brooke still stands number 1.

For Tony we divide 645 by the number of seconds in one minute

there are 60 seconds in a minute so

645/60= 10.75

So the fastest is brooke.

Ron = 12 ft/sec

Brooke = 13 ft / sec

Jessica = 8 ft / sec

Tony = 10 ft/ sec

Given the equation

n=6 will be a solution of the equation if when n=6 the result is equal to 22.

Therefore:

Answer: Since the result when n=6 is 23 and not 22 , n=6 is not solution of the equation.

4/6 = 2/3

The probability of receiving a number greater than 3 and an even  number is 2/3.

          P(E) = (Number of positive outcomes) / (Sample space)

Here,

When a die is rolled once, the sample space is

S = {1, 2, 3, 4, 5, 6}. The total score is 6.

The events will be E ={ 4, 5, 6, 2}

if a number greater than 3 and an even number are rolled. The expected result is 4.

The likelihood of receiving a number greater than 3 and an even number is 4/6 = 2/3

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SOLUTION

Triangle FGH is similar to triangle ABC

Therefore the ratio of their corresponding sides will be equal.

That is

Therefore, x = 12

Here we have to find the graph for the function:

g(t) = 4 sin t + 2

Function:

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

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SAS property, both triangles are similar.

The two triangles are congruent if we can demonstrate that two sides and the included angle of one triangle are congruent with two sides and the included angle of another triangle. The Side Angle Side Postulate, or SAS, is what this states. The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle. According to the SAS postulate, two sides and one angle (between the sides) of one triangle must be identical to two sides and one angle of another for two triangles to be considered congruent.

Given,

To prove triangles are similar,

ST = VW

∠STU = ∠ UVW    (GIVEN)

SU = UW

By SAS property, both triangles are similar.

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9 10 million miles or [tex]9*10^7[/tex] miles is the estimated value of an astronomical unit to the nearest ten million miles.

Given that:-

1 astronomical unit = 92,955,807 miles

We have to estimate its value to the nearest ten million miles.

We know that,

10 million miles = 10,000,000 miles

Hence,

1 mile = (10/10000000) million miles

92955807 miles = 929558070/10000000 million miles

92955807 miles = 92.955807 million miles

For 10 million miles, we can write,

92955807 miles = 9.2955807 10 million miles

We can estimate 9.2955807 10 million miles to 9 10 million miles

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Answer:

Option 2

Step-by-step explanation:

The side lengths satisfy the Pythagorean theorem.

The given quadratic inequation,

Subtract 3 on both sides,

Multiply both sides by -1 that results in a change of symbol of the inequality,

Use the method of completing squares,

Consider that the square of any real number is always positive, and hence greater than a negative number.

So we can observe that the result obtained above is valid for all real number values of 'x'.

Thus, the solution of the given inequality is the set of all real numbers,

The indefinite integral of  ∫(2ti+j+8k)dt is  t²i +tj+8tk+c.

Given the expression is ∫(2ti+j+8k)dt

The indefinite integrals, also known as the derivatives of functions, are integrals that can be computed using the process of differentiation in reverse.

Further approaches for resolving indefinite integrals include integration by parts, substitution, integration of partial fractions, and integration of inverse trigonometric functions.

now, ∫(2ti+j+8k)dt

= 2t²/2 i + tj +8tk

= t²i +tj+8tk+c

hence we get the indefinite integral as  t²i +tj+8tk+c

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After using the protractor we have come to find that DF is not an angle bisector of ∠HDJ. ∠JDF measures  27° and ∠FDH measures 22°.

An angle bisector is a ray, segment, or line that splits an angle into two equal-sized angles. A thing is divided into two equal parts when it is bisectored or bisectioned. In geometry, we frequently use a line or ray—known as an angle bisector—to divide a triangle and an angle.

The ray, line, or segment that divides an angle into two equal parts is known as the angle bisector in geometry. A 60-degree angle, for instance, will be split into two angles of 30 degrees each by an angle bisector. To put it another way, it separates an angle into two smaller congruent angles. An example of an angle bisector of AOB is shown below.

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Answer:

rectangle: 20x10=200

Triangle: (11x6)/2=33

200+33=233

233=total area

Step-by-step explanation:

Im asian so...trust me

Given the following System of equations:

You can use the Substitution method to solve it, as following:

1. Solve for "x" from the first equation:

2. Now you must substitute this equation into the second original equation:

3. Solve for "y":

4. Knowing the value of "y"; you can substitute it into this equation:

Then:

5. Evaluating, you get that the value of "x" is:

Then, the answer is:

In order to find the result of 2.56 + 4.83, proceed as follow:

2. 5 6

+ 4. 8 3

7. 3 9

Hence, the result id 7.39

So here we have different options

we have that

A unit rate is a ratio between two numbers, where the second quantity is one unit

Example

5/1 m/sec is the same that 5 m/sec

that means

speed is 5 meters per one second

2 example

$6 per oz

that means -----> the cost is $6 per one ounce

Answer:

Help with what? I do not see your question But it says there's something attached

Step-by-step explanation:

Answer:

.001 or 1/1000

Step-by-step explanation:

Comment

The idea behind this question is like flipping a coin and getting either heads or tails. The probability does not depend on a previous through if the coin is an honest coin.

So if you toss the coin 3 times, and you want to get all three tosses to be heads, there are 8 ways that you can throw 3 coins. Only 1 of the eight will give three heads, so the answer is 1/8.

This is the same kind of problem. He goes to work on 3 days, each day doesn't  depend on what happened on any other day.

Probability(3 days on time) = 0.1   *   0.1   * 0,1 = 0.001 or 1/1000

The Solution:

To raise a total $600 in 10 days with an estimate of selling 15 cans of soda per day.

To find the amount you should charge for each can is:

Therefore, the correct answer is $4 for each can of soda.

With the information provided we will have that the solid is:

*A Cylinder.

Answer:

525600

Step-by-step explanation:

not gonna lie I looked this up thxs for the points and good luck

Answer: x^2 + y^2 = 73

Step-by-step explanation:

H, K would be the center

R would be the radius

H, K= 0,0

(x-0)^2 + (y-0)^2= r^2

x^2 + y^2= r ^2

To Find Radius, you find distance between Origin, and Point

[tex]D=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]

X2, Y2= (-3, 8)

X1, Y1= (0,0)

[tex]D= \sqrt{((-3)-(0))^{2} + ((8-0))^2} \\D= \sqrt{(-3)^2 + (8)^2} \\D= \sqrt{9+ 64} \\D=\sqrt{73} \\D= 6\sqrt{2}[/tex]

R= 6[tex]\sqrt{2}[/tex]

x^2+y^2= (6[tex]\sqrt{2}[/tex])

or x^2+y^2= 73

Answer:

w = 4

w = -1/2

Step-by-step explanation:

so first of all this looks like a quadratic equation . I say this because you can subtract 4 to get 0 on one side . so you will have 2w²-2w-4=0.

to solve quadratic equations you need to use the quadratic formula . keep in mind you can only use the quadratic formula when your own quadratic equation is set set equal to 0. quadratic formula is equal to:

x= (-b±sqrt(b²-4ac))÷2a

now because this is a quadratic you can identify the values x, b, a, and c. we know that if it is a quadratic equation then the equation will be ax²+ BX + C. this is the basic formula for a quadratic equation so your values will be a equals 2 and B = -7 and C equals -4 and W equals X .

now because we know these values we can substitute it into the quadratic formula that i mentioned earlier .

x=(-(-7) ± sqrt( (-7)²-(4×2×(-4)) ) ) ÷ (2×2)

when you're simplify this you get

x= (7±sqrt(49+32))÷4

x= 7±sqrt(81) ÷ 4

x= (7±9)÷4

for quadratics it's normal that the x value is going to be two different values so don't panic at that !

the first x value

x= (7+9)÷4

= 16÷4

=4

the second x value

x= (7-9)÷4

=(-2)÷4

=-1/2

now remember that we said W equals X so the value of w will be 4 or -1/2 .