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irinina [24]
2 years ago
12

Chloe has 12 commemorative plates and 18 commemorative spoons. She wants to display them in groups throughout her house, each wi

th the same combination of plates and spoons, with none left over. What is the greatest number of groups Chloe can display?
Mathematics
1 answer:
Semenov [28]2 years ago
8 0

6 plates with 3 spoons or 9 plates with 2 spoons

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NEED HELP ASAPPPPPPPPP
Nookie1986 [14]

Answer:

A  = 57°

B = 19°

C = 104°

Step-by-step explanation:

We have a triangle with 3 angles:

A, B, and C.

We know that:

"Angle A is 3 times larger than angle B"

We can write this as:

A = 3*B

"Angle C was 10° less than 6 times angle B"

This can be written as:

C = 6*B - 10°

And we also know that the sum of all interior angles of a triangle is 180°

Then we also have the equation:

A + B + C = 180°

So we have a system of 3 equations:

A = 3*B

C = 6*B - 10°

A + B + C = 180°

To solve this, the first step is to isolate one of the variables in one of the equations.

We can see that A is already isolated in the first one, so we can skip that step.

Now we need to replace A in the other equations, to get:

C = 6*B - 10°

(3*B) + B + C = 180°

Now we have a system of two equations.

Let's do the same procedure, we can see that C is isolated in the top equation, so we can just replace that in the other equation to get:

3*B + B + (6*B - 10°) = 180°

Now we can solve this for angle B

4*B + 6*B - 10° = 180°

10*B - 10° = 180°

10*B = 180° + 10° = 190°

B = 190°/10 = 19°

Now that we know the measure of angle B, we can input this in the equations:

A = 3*B

C = 6*B - 10°

To find the measures of the other two angles:

A = 3*19° = 57°

C = 6*19° - 10° = 104°

5 0
2 years ago
Parallelogram ABCD has the angle measures shown. Can you conclude that it is a rhombus, a rectangle, or a square? Explain.
Nikitich [7]
<span>We can analyze the four optons. 1) Option A. A parallelogram with all four angles of the same measure can be either a square or a rectangle, then this option is not valid. 2) Optrion B. gives not information. 3) A rhombus (a diamond) is a parallelogram with four congruent side (square is a specific case of rhmbus but not all rhombus are squares), and it is enouh to say that one diagonal bisects two interior angles, to conclude that it is a rhombus. 4) If a diagonal creates congruent angles, but you do not know what happens with the opposed angle, you cannot conclude that the parallelogram is a rectangle; it could be a trapezoid with one side perpendicular to the parallel sides. By t his analysis, the answer is option C.</span>
7 0
3 years ago
Read 2 more answers
on a scale drawing, 5 metres is represented by 4 centimetres. write the scale as a ratio in it's simplest form.​
ryzh [129]

Answer:

<em>The scale factor is 1:125</em>

Step-by-step explanation:

<u>Scaling</u>

Objects can be represented in a reduced or augmented size by using scaling which consists of multiplying or dividing by a constant factor. We use scaling when representing geographic locations on a map.

On a scale drawing, a distance of 5 meters = 500 cm is represented by 4 centimeters. The scale factor is usually represented as a ratio of the smallest to the biggest magnitude:

\frac{4}{500}=\frac{1}{125}

The scale factor is 1:125

8 0
3 years ago
Solve. −35x+15&gt;720 Drag and drop a number or symbol into each box to show the solution.
vampirchik [111]

Answer:

The solution of the inequality - 35x + 15 > 720  is x

Step-by-step explanation:

Consider the given inequality

- 35x + 15 > 720

Subtract both side by 15 , we get

- 35x + 15 - 15 > 720 - 15

- 35x > 705

Multiply both sides by -1 (Reverse the inequality )

(-35x)(-1) < 705 (-1)

35x < -705

Now, divide both side by 35

\frac{35x}{35}=\frac{-705}{35}

\Rightarrow x=\frac{-141}{7}

Thus, the solution of the inequality - 35x + 15 > 720  is x

6 0
3 years ago
Answer #1,3,4,5,6,and 7
Fofino [41]
Can you type the answers in plz. I can't see the pic
7 0
3 years ago
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