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ratelena [41]
4 years ago
10

Answer this please, thank you !

Mathematics
1 answer:
vesna_86 [32]4 years ago
8 0

Answer:

m∠ADC=55°

Step-by-step explanation:

step 1

Find the value of x

we know that

m∠CDE+m∠EDF=180° ----> by supplementary angles (form a linear pair)

substitute the given values

(2x+1)\°+(x-7)\°=180\°

solve for x

2x+x=180+6

3x=186

x=62

step 2

Find the measure of angle ∠ADC

we know that

m∠ADC=m∠EDF ----> by vertical angles

m∠EDF=(x-7)°

substitute the value of x

m∠EDF=(62-7)°=55°

therefore

m∠ADC=55°

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Find the value of x
Alexxandr [17]

Answer:

Step-by-step explanation:

This is an Isosceles triangle, two of the angles are equal

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     |

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<u>90°|90°_</u>

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angle SRT = angle STR = 20°

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<u />

<u />

8 0
3 years ago
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dimaraw [331]

Answer:

D - T-H is negative

Step-by-step explanation:

So lets go through what we know:

M is on the left side of 0, so M is negative.

A is also one the left side of 0, so A is negative.

T is on the right side of 0, so T is postive

H is also on the right side of 0, so H is postive

Lets go through each answer and see if it is accurate or not:

The sum of M and H is postive.

With what we know, M is negative and H is postive.

Looking at the graph, we can see that M is farther to the left than H is to the right.

So this means that M is a larger negative than H is postive, meaning when we add them together, the answer will be negative, not postive.

Next we have the answer to A divided by H is negative

We know A is negative, and M also negative

Remember, a negative divided or multiplied by a negative is postive.

This is not what our answer states, as it says it should be negative.

So next off, we have the product of H and A is postive.

Product means multipication.

A is negative and H is postive

Since it is multipication, and we know a negative and postive make another negative, this would make it incorrect

The answer states it must be postive, but this is negative.

Finally we have the answer as T-H is negative.

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So D is the answer

Hope this helps!

4 0
3 years ago
A rectangular garden measures 12 m by 5 m. A path of uniform width runs along one side and one end. If the total area of the gar
Nuetrik [128]
<h3>Answer:  2 meters</h3>

========================================================

Explanation:

x = width of the sidewalk path

The variable x is some placeholder for a positive number.

Check out the diagram below.

The green rectangle is the garden itself. The gray portion represents the sidewalk path. It's only along one vertical side and one horizontal side. So this sidewalk does not entirely encompass the garden.

If the horizontal component of the green garden rectangle is 12 meters, then it bumps up to 12+x meters when we incorporate the sidewalk.

Similarly, the vertical component of 5 meters bumps up to 5+x meters.

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x+19 = 0 or x-2 = 0

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

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This helps us confirm we have the correct answer.

7 0
3 years ago
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