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only numbers and decimal points ​

Answer:

  ∆JGF ≅ ∆GJH by the SAA Postulate

Step-by-step explanation:

Given a figure showing two triangles with a common side, and two marked angles not at either end of that side, you want to know the applicable congruence postulate.

The letters S and A in the congruence postulate references refer to "Side" and "Angle". The sequence of the letters corresponds to the sequence of corresponding parts in the triangles.

In the given figure, two angles in each triangle are marked with a single arc and a double arc. The triangles share a side that has the double-arc angle at one end. Hence, the sequence of corresponding parts can be seen to be (common) Side - (double-arc) Angle - (single-arc) Angle. The SAA congruence postulate applies.

  ∆JGF ≅ ∆GJH by the SAA Postulate

Answer:

Step-by-step explanation:

Gabriel Harris earns an annual salary of $156,000 as CFO ofTechMedia, Inc. He is married and claims three dependents. TechMediarecently converted from a weekly pay plan to a monthly pay plan.How much more will Gabriel have deducted from his monthly paythan from his weekly pay for state income tax?

Answer:

expanded: x^2+8x+15

Step-by-step explanation:

(x+3)(x+5)

x^2+5x+3x+15

Answer: 1/4

Step-by-step explanation:

0.75 liters is the same as 750 grams.

So, the total mass of the mixture is [tex]300+150+750=1200[/tex] g.

This means the ratio is [tex]\frac{300}{1200}=\frac{1}{4}[/tex].

Answer:

Flour : total mass = 1 : 4

Step-by-step explanation:

Given ingredients for the cake:

First convert the mass of the water to the same SI units as the other ingredients.

1 liter = 1000 g

⇒ Water = 0.75 liters = 750 g

Total mass of the mixture:

= flour + sugar + water

= 300 g + 150 g + 750 g

= 1200 g

Therefore, the flour to total mass ratio is:

⇒ Flour : total mass = 300 : 1200 = 1 : 4

Answer: 37%

Step-by-step explanation:

36.9 rounds up into 37%

The equation of given graph is y = |x - 3| + 5.

The graph of a absolute or modulus function is a V- shape graph. The function of absolute is f(x) = |x|. The general form of absolute function is f(x)=a |x - h| + k. Where (h,k) is the vertex of graph.

Here, we can see that graph is in the form of V shape, so the function will be absolute function. Now, we have to find the vertex of graph.

As seen from the graph the minimum point on the graph is located at the point (3, 5) and the value of a should be 1.

So, by putting the value of vertex in general equation we get the equation of the graph,

y = |x - 3| + 5

Therefore, the equation of given graph is y = |x - 3| + 5.

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If all other values remain constant, an increase in sample size will result in a broader confidence interval when constructing one.

The definition of the MoE, or margin of error, is

MoE = sigma ÷ sqrt(n)

The population standard deviation is represented by sigma. If you don't know sigma, utilize s to get a rough idea of it. The sample standard deviation is denoted by the variable s.

The MoE increases along with the sigma. The width or narrowness of the confidence interval is directly determined by the MoE. A smaller MoE indicates greater confidence with less error, whereas a larger MoE indicates greater net casting but increased error.

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Answer:

y=3x+1

Step-by-step explanation:

we know slope so just fill in the rest

y=3x

-2=3(-1)

-2=-3

We add 1 to make the equation true so the y intercept is 1

Hopes this helps please mark brainliest

The value of the correlation coefficient is 0.60.

There is a 0.6 correlation coefficient between two variables, which measures the strength of the relationship.

R² is the coefficient of determination, which measures how much variation can be explained by the regression line.

This means that, the R² value of the data is 36%

R² = 36% = 0.36

Correlation coefficients measure the strength of relationships between variables in the form of square roots.

That is ; R = √R²

R = √0.36

Hence, the correlation Coefficient, R is 0.60

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Answer:

x > 17

Step-by-step explanation:

x - 5 > 12 ( isolate x by adding 5 to both sides )

x > 17

-------------- from your comment

x - (- 5) > 12 , that is

x + 5 > 12 ( subtract 5 from both sides )

x > 7

Step-by-step explanation:

I skipped the answer line because they are pasted below.

Since there is a ten dollar difference for two people, each guest is 5 dollars. If each guest is 5 dollars, the party room is 120. If we want to create an equation, we have:

y=5x(each guest is 5 dollars)+120(the basic fee).

If we use 15 here, we have that it will be $195.

ANSWERS DOWN HERE:

1. $120

2. $5

3. y=5x+120

4. $195

The perimeter of the floor in the scale drawing is 32 inches.

Using ratio and proportion, determine the width of the scale drawing of the floor.

actual length / scale length = actual width / scale width

36 feet / 9 inches = 28 feet / scale width

scale width = 28 feet (9 inches / 36 feet)

scale width = 7 inches

Perimeter is defined as distance around a two-dimensional shape.

The perimeter of a rectangle can be calculated using the formula below.

P = 2(l + w)

where P = perimeter

l = length

w =width

Plug in the values of the dimension of the scale drawing and determine its perimeter.

P = 2(l + w)

P = 2(9 inches + 7 inches)

P = 32 inches

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Answer: is 16.6%

Step-by-step explanation: Use the rule of three (mathematic).

Tower B is 14.9 miles away from the fire.

What is the law of sines?

According to the law of sine, or sine law, the ratio of a triangle's side length to the sine of the opposing angle remains constant for all three sides. The sine rule is another name for it.

Here,

According to the law of sines

BC/sin A = AC/sin B = AB/sin C

∠A = 43°, ∠B = 31°, ∠C = 180° - ∠A - ∠B = 106°

AB = 21 miles

So, BC = (AB/SinC)×SinA

BC = 14.9 miles

Hence, Tower B is 14.9 miles away from the fire.

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Answer:25256

Step-by-step explanation:

The solution to the quotient for 2.0 and 4.0 is 0.50

From the question, the mathematical statement is given as

The quotient for 2.0 and 4.0

The quotient of numbers is their division

This in other words mean that:

The quotient for a and b is a/b

Using the above highlights as a guide, we have

The quotient for 2.0 and 4.0 to be 2.0/4.0

Evaluate the quotients

So, we have the following representation

The quotient for 2.0 and 4.0 to be 0.50

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Answer:

[tex]y=-\frac{2}{3}x-2[/tex]

Step-by-step explanation:

To find the equation in slope-intercept form, isolate [tex]y[/tex].

[tex]2x+3y=-6 \\ \\ 3y=-2x-6 \\ \\ y=-\frac{2}{3}x-2[/tex]

Answer: -4.2c + 4.8d

Step-by-step explanation:

Multiply each number by 0.6 to get -4.2c + 4.8d.

Answer:

what do you need help with?

Answer:

Step-by-step explanation:

You need a picture of the item.

The product of a number minus 17 and 5 are equivalent to: 5 (n - 17) .

X-terms and constants should be combined with any other like terms on either side of the equation. Put the terms in the same order, with the x-term usually coming before the constants. The two phrases are equal if and only if each of their terms is the same.

the sum of a number less than 17 and five

If x is an ambiguous number,

The sign for minus is -

A number less than 17 is denoted by x-17.

The multiplication is the product.

Add x-17 and (x-17)5 to get the answer.

In this case, the expression is 5 (n - 17).

When two numbers are multiplied together, the outcome is known as the product.

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Answer:

the slope of the line is undefined

The domain of the function represented as .f(x) is (b) All positive integers less than or equal to 4

The equation of the function is given as

f(x) = 3x

Where

x = Number of splits

f(x) = number of new roots in each split

From the question, we have

Splits = 4

This means that the maximum value of x is 4

The other values of x would be

x = 1, 2, 3, 4

This can be represented as

0 ≤ x ≤ 4

The interpretation of the above notation is all positive values less than or equal to 4

Hence, the domain value is option (b)

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For given expression  (7^3) * (7^x) equivalent expressions are:

343 * 7^x and 7^(3+x)

The correct options are option (C) and option (D)

In this question, we have been given an expression (7^3) * (7^x)

We need to find expressions that are equivalent to given expression.

Consider given expression (7^3) * (7^x)

We know that 7^3 = 343

So given expression becomes, (7^3) * (7^x) = 343 * (7^x)

For given expression, the bases of the exponents are equal.

so, by the properties of exponents

(7^3) * (7^x) =  7^(3 + x)

Therefore, for given expression  (7^3) * (7^x) equivalent expressions are:

343 * 7^x and 7^(3+x)

The correct options are option (C) and option (D)

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Answer:

y = 44

Step-by-step explanation:

y = 300

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Steps are in the attached picture!

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Joke: What runs around a farm but doesn’t move?

Answer: A fence.

Have a great day and God bless! :D

1a) The additional information required using SAS Congruency postulate is; ∠AOB ≅ ∠BOD

1b) The additional information required using ASA Congruency postulate  is BC ≅ QR

2a) The symbolic form of the congruent triangles is written as;

ΔABC ≅ ΔADC

2b) The congruence Postulate that is used is SAS Congruency postulate.

1a) We want to prove that the triangles are congruent by SAS Congruency postulate. SAS congruency postulate denotes Side - Angle - Side. That is 2 congruent sides and the included angle. This means we have our additional information as;

∠AOB ≅ ∠BOD

1b) We want to prove that the given triangle ABC is congruent to the other triangle PQR by the ASA Congruency. ASA Congruency means 2 congruent angles and the included side. We are given;

∠Q = ∠B

∠R = ∠C.

Therefore, the additional information is BC ≅ QR

2a) The symbolic form of the given congruent triangles is expressed as;

ΔABC ≅ ΔADC

2b) The congruence postulate that was used here is SAS Congruency postulate.

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Answer:

X would be 135 degrees

Step-by-step explanation:

35 is a vertical angle

180-(100+35) = 45

By supplements, 180-45 = 135 which would be your answer

hope this helps

the value o f x is 135, it mean x=135°

To produce five constructive batches of salsa, 2.5 cups of onion will be needed.

What is unitary method of problem solving?
The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. The unitary approach involves calculating the value of a single unit, from which we can calculate the values of the necessary number of units.

Given, the number of onions required to produce one batch = 0.5 cup(s)
∴ The number of onions required to produce five batches = 0.5×5
= 2.5 cup(s)
Thus, to produce five constructive batches of salsa, 2.5 cups of onion will be needed.

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The different ways can paint the spinner is [tex]4^{6}[/tex].

Permutation and Combination:

A permutation is an act of arranging objects or numbers in order. Combinations are the way of selecting objects or numbers from a group of objects or collections, in such a way that the order of the objects does not matter.

Here it is given that to paint the 6-sector spinner shown there are 4 colors to choose from.

The total number of ways to color this spinner with 6 different parts and 4 different colors is 4 × 4 × 4 × 4 × 4×4 = [tex]4^{6}[/tex] ways

Therefore the ways is [tex]4^{6}[/tex].

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