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Alja [10]
3 years ago
5

Solve for x in the figure below

Mathematics
1 answer:
Ksju [112]3 years ago
5 0
Since angles A and C are equivalent, then angles B and D must also be equivalent. So if
angle B = angle D then...

7x + 15 = 8x

Now we just solve for x

7x + 15 = 8x
15 = 8x - 7x
15 = x

We Can check to see if it is correct by substituting 15 in for x in the equation..

7x + 15 = 8x
7 (15)+15 = 8 (15)
105 +15 = 120
120 = 120

It checks! angles B and D = 120 degrees
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Which statement best explains whether △ABC is similar to △DEF?
Elena L [17]

The statement which best describes the similarity of the two triangles is; Choice D; There is not enough information to determine whether the triangles are similar.

<h3>Which statement best explains whether △ABC is similar to △DEF?</h3>

The two triangles given in the task content are expected to be assessed to determine if they are similar.

From the concept of congruence in triangles, two triangles are congruent only if all 3 angle measures in one are similar to that in the other, or if the ratio of all corresponding pairs of sides are equal.

Hence, since neither of the conditions is satisfied by the information given, it follows that Choice D is correct.

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2 years ago
Solve with the law of sine
Zinaida [17]

1) Triangle QRT, where q = 32.4 ft, r = 29.8 ft, t = 42.1 ft

No this cannot make a second triangle

2) Triangle ABC, where B = 62°, a = 11.52 m, c = 19.34 m

No this cannot make a second triangle

3) Both of the triangles cannot make a second triangle

<h3>How does law of sine work</h3>

The following is a detailed explanation of the sine law: In a triangle, side "a" divided by angle sine "a" equals side "b" divided by angle sine "b" equals side "c" divided by angle sine "c."

The formula for law of sine is written as

Sine A  a = Sine B/ b = Sine C / c

These law helps in determining the given angles and sides

For the situation given; both cannot be used to make a second triangle

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5 0
2 years ago
Caroline wants to make cookies to bring to a party. she will need to double the recipe to have enough. how much of each ingredia
anygoal [31]

Answer:

1 1/2 cups of peanut butter

1 cup of vegetable shortening

2 1/2 cups grimly packed light brown sugar

6 tablespoons of milk

5 1/2 teaspoon vanilla extract

2 large eggs

3 cups of flour

1 1/2 teaspoon of baking soda

1/2 teaspoon of salt

Step-by-step explanation:

You just double everything by 2

3 0
2 years ago
PLZ HELP WILL GIVE BRAINLIEST 50+25 POINTS!!!<br><br>Graph the following piecewise function.
Luda [366]

We need to graph the given piecewise function.

To graph any piecewise function we do that into parts

Let's graph upper part first which is

f(x)=x^2+2

restriction for that is -5 \leq x < 3

that means we are free to pick any number for x that is between -5 and 3, including 3.

So we will find few points by plugging random numbers between -5 and 3.

Let's use x=-5, we get:

f(-5)=(-5)^2+2=25+2=27

so first point is (-5,27).

similarly we can find other points like (0,2), (2,6), (-1,3) etc.

Now we join those points by a curved line.

-5 \leq x means we use a close circle at -5

x<3 means use open circle at 3


------------

Repeat same process for 2nd part f(x)=x-4

choose any number between 3 and 7 like x=3, 4 etc

so we get points (3,-1), (4,0) etc

Now graph them

So the final graph will look like:


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3 years ago
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