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3 years ago

Find the measure of each angle if c||d show work

Mathematics

1 answer:

weeeeeb [17]3 years ago

5 0

Answer:

Part a) <1=72°

Part b) <2=108°

Part c) <3=72°

Part d) <4=108°

Step-by-step explanation:

step 1

Find the measure of angle 1

we know that

<1+108°=180° -----> by supplementary angles

<1=180°-108°=72°

step 2

Find the measure angle 2

we know that

<2=108° -----> by corresponding angles

step 3

Find the measure angle 3

we know that

<3=<1-----> by corresponding angles

<3=72°

step 4

Find the measure angle 4

we know that

<4=108° -----> by alternate exterior angles

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dangina [55]

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3 years ago

What is 6.23 million written in scientific notation?

taurus [48]

Answer:

6.23*10^6

Step-by-step explanation:

We first write the answer in full notation 6,230,000.

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2 years ago

Overline MD cong overline LS additional information is necessary to show that triangle MTD cong triangle LGS by SSS?

aivan3 [116]

Answer:

$TD \cong GS$

Step-by-step explanation:

See comment for complete question

Given:

$TM \cong GL$

$MD \cong LS$

Required

The information that shows $\triangle MTD \cong \triangle LGS$ by SSS

By SSS implies that, the three sides of both triangles are congruent

Already, we have:

$TM \cong GL$

$MD \cong LS$

The third side of $\triangle MTD$ is $TD$

The third side of $\triangle LGS$ is $GS$

So, for both to be congruent by SSS, the third sides must be congruent

i.e.

$TD \cong GS$

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3 years ago

Which model represents 1/2 divided by 1/6?

kvasek [131]

Answer:

The answer I believe is : D.

~ Hope this is correct, if I'm wrong I'm sorry, have a gr8 day/ night my friend!~

Step-by-step explanation:

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3 years ago

What is the greatest common factor of 90, 126, 180 and 990?

mylen [45]

9514 1404 393

Answer:

Step-by-step explanation:

90 = 18·5

126 = 18·7

180 = 18·10

990 = 18·55

The greatest common factor of these numbers is 18.

<em>Comment on the GCF</em>

It can be useful to know Euclid's algorithm for finding the GCF:

Determine the remainder from dividing the larger number by the smaller.
If the remainder is zero, the smaller number is the GCF. If the remainder is non-zero, use it to replace the larger number and repeat from step 1.

For example, 126 mod 90 = 36; 90 mod 36 = 18; 36 mod 18 = 0, so 18 is the GCF of 126 and 90. (The modulo function 'mod' returns the remainder from division.)

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3 years ago