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Colt1911 [192]
3 years ago
5

What is the value of d?

Mathematics
2 answers:
ddd [48]3 years ago
8 0

Answer:

Step-by-step explanation:

Ok so this picture may look super super complicated but it's actually not too terrible.

The best (and only) way to start this problem is to find angle "b". To find angle "b" you can use the 107° angle next to it. When two angles are made by crossing lines the angles next to each other will always add up to 180°. so in that case:

107+b=180

b=73

Now that we know what b is we can just use our incredibly extensive knowledge of those three sided shapes I like to call triangles. If you look at the picture you can see that angles d, b(73°) and 45° make a triangles and all of them together will add up to 180° because there are 180° in a triangle. So...

d+73+45=180

d+118=180

<u>d=62</u>

(Disclaimer: there is another way to solve this problem but I like that way the best)

Here's the other way (i'm not going to explain this super in depth tho).

Angle a must be 45 because of the alternate angle theorem. d+a must be 107 because of the alternate angle theorem.

d+45=107

d=62

Zanzabum3 years ago
7 0

Answer: 62

Step-by-step explanation:

We know that a straight line= 180,

So look at the 107,

Do 180-107 for the value of b

Which = 73,

So b=73

No add 45 to 73 which gives 118,

Now we know that all 3 angles in a triangle is 180,

So finally we do 180-118= 62

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It takes 15 minutes to preheat your oven to 325 degrees. For an oven preheated to 325 degrees, the recommended cooking time for
Alisiya [41]

Answer:

(a) T = (15 + 16p) minutes

(b) It will takes approximately 239 minutes to prepare a turkey weighing 14 pounds

Step-by-step explanation:

(a) To determine the total time T needed to preheat the oven and then bake a turkey weighing p pounds

We will sum the time needed to preheat the oven to the time needed to bake the turkey.

From the question,

It takes 15 minutes to preheat the oven to 325 degrees;

Also,

It takes 16 minutes per pound to bake a turkey in the preheated oven.

That is, to bake a turkey weighing p pounds in the preheated oven, it will take

p pounds × 16 minutes / pound = 16p minutes

Hence, the total time T needed to preheat the oven and then bake a turkey weighing p pounds is

T = 15 minutes + 16p minutes

T = (15 + 16p) minutes

This is the formula that express the total time T, in minutes, needed to preheat the oven and then bake a turkey

(b) To find the approximate time required to prepare a turkey weighing 14 pounds.

From the formula in (a)

T = (15 + 16p) minutes

where p is the weight in pounds of a turkey

Then,

T = 15 + 16(14)

T = 15 + 224

T = 239 minutes

Hence, it will takes approximately 239 minutes to prepare a turkey weighing 14 pounds

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3 years ago
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valentinak56 [21]

Answer:

the answer is x=−1 and y=1

Step-by-step explanation:

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On Monday you sent x number of text messages. On Tuesday you sent twice as many. On Wednesday you sent 12 more texts than you se
kykrilka [37]

Answer: Expression represents the number of text messages you sent on Tuesday = 2x

Expression represents the number of text messages you sent on Wednesday = 12+2x

Expression represents the number of text messages you sent on Thursday = x+6

Step-by-step explanation:

Given:

Number of text messages sent on Monday = x

On Tuesday, Number of text messages sent  = 2 (Number of messages sent on Monday)

= 2 x

On Wednesday, Number of text messages sent  = 12+ (Number of messages sent on Tuesday)

= 12 +2x

On Thursday, Number of text messages sent  = \dfrac12(2x+12)

= x+6

Expression represents the number of text messages you sent on Tuesday = 2x

Expression represents the number of text messages you sent on Wednesday = 12+2x

Expression represents the number of text messages you sent on Thursday = x+6

5 0
3 years ago
Read 2 more answers
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