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3 years ago

Set up the equation relating the new ratio of broth

Mathematics

2 answers:

Nonamiya [84]3 years ago

6 0

Answer:

A. 25/60 = x/100

This was correct on Edge btw :)

Lemur [1.5K]3 years ago

3 0

Answer:

$\frac{25}{60}=\frac{x}{100}$

Step-by-step explanation:

The equation relating the new ratio of broth is

$\frac{25}{60}=\frac{x}{100}$

Where, 60 represents a 100%.

Let's solve for $x$

$25(100)=60x\\x=\frac{2500}{60}\\ x=41.67$

Therefore, 25 represents a 41.67% of the solutions.

So, the right answer is the first choice.

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I need help to fill in the blanks.. please

Murljashka [212]

Answer:

Part a) alternate interior angles theorem

Part b) vertical angles theorem

Part c) AA Similarity theorem

Part d) triangle ABC is similar with triangle EDC

Part e) The length side b is 3 cm

Step-by-step explanation:

Part a) we know that

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent. Each pair of these angles are inside the parallel lines, and on opposite sides of the transversal.

In this problem

The transversal is the segment BD and the parallel lines are AB and DE

$m\angle 1=m\angle 4$ ----> by alternate interior angles theorem

Part b) we know that

Vertical Angles Theorem states that vertical angles are congruent. Vertical Angles are the angles opposite each other when two lines cross.

In this problem, the two lines that cross are BD and AE

$m\angle 5=m\angle 6$ ----> by vertical angles theorem

Part c) we know that

The AA Similarity Theorem states: If two angles of one triangle are congruent to two corresponding angles of another triangle, then the triangles are similar

In this problem

triangle ABC is similar with triangle EDC by AA Similarity Theorem

Because

$m\angle 1=m\angle 4$ ----> by alternate interior angles

$m\angle 5=m\angle 6$ ----> by vertical angles

Part d) triangle ABC is similar with triangle EDC by AA Similarity Theorem

see the explanation Part c)

Part e) Find the length of side b

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

we have that

triangle ABC is similar with triangle EDC

Applying proportion

$\frac{BC}{DC}=\frac{AC}{EC}$

substitute the given values

$\frac{2}{DC}=\frac{5}{7.5}$

solve for DC

$DC=2(7.5)/5=3\ cm$

therefore

The length side b is 3 cm

6 0

3 years ago

the cafeteria ordered 400 paper plates. they usef 226 at breakfast. they bought 100 more. Then, they used some plates for lunch.

vazorg [7]

196 Plates used for lunch. 400-226=174 174+100=274 274-78=196 Plates Used For Lunch

7 0

3 years ago

Read 2 more answers

A fair spinner has 11 equal sections: 3 red, 4 blue and 4 green. It is spun twice. What is the probability of getting the same c

Aliun [14]

Answer:

The probability of getting the same colour twice is approximately 34%.

Step-by-step explanation:

The probability of getting each color is:

P(x=red) = 3/11
P(x=blue) = 4/11
P(x=green) = 4/11

Then, we can calculate the probability of getting the color red twice as:

$P(x_1=R;x_2=R)=P(x=R)^2=(3/11)^2=9/121$

We have to repeat this for the color blue and green:

$P(x_1=B;x_2=B)=P(x=B)^2=(4/11)^2=16/121\\\\P(x_1=G;x_2=G)=P(x=G)^2=(4/11)^2=16/121$

Then, the probability of getting the same color twice in two spins can be calculated as:

$P=P(x_1=R;x_2=R)+P(x_1=B;x_2=B)+P(x_1=G;x_2=G)=\\\\P=9/121+16/121+16/121\\\\P=41/121\approx0.34$

4 0

3 years ago

Please help me! :) !!!!!!!!!!!!!!!!!

Novosadov [1.4K]

Answer:

x=17

Step-by-step explanation:

Since the triangles are congruent, the angles are equal

I≅ P

3x+4 = 72-x

Add x to each side

3x+4+x = 72-x+x

4x+4 = 72

Subtract 4 from each side

4x+4-4 = 72-4

4x= 68

Divide by 4

4x/4 = 68/4

x = 17

7 0

3 years ago

A stream is flowing down a slope into a larger river. The elevation of the head of the stream is 1,776 feet above sea level. The

ddd [48]

Answer:

-167.2 ft/mile

Step-by-step explanation:

The "rise" is 1298 -1776 = -478 ft. The run is given as 15,098 ft, so the slope is ...

slope = rise/run = -478/15098 ≈ -0.0316598

For 5280 feet in 1 mile, that rate of change amounts to ...

-0.0316598×5280 ft ≈ -167.2 ft . . . per mile

3 0

3 years ago