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Mandarinka [93]
3 years ago
10

Help with this question! I don't understand how to get the answer :(

Mathematics
2 answers:
azamat3 years ago
5 0
When parallel lines are cut by a transversal,
the alternate interior angles are equal

See the attached picture.

Sunny_sXe [5.5K]3 years ago
4 0
Ur angles are supplementary...that means they equal 180 degrees when added

4x + 16 + 2x - 22 = 180....combine like terms
6x - 6 = 180...add 6 to both sides
6x = 186 ...divide both sides by 6
x = 186/6
x = 31

< 1 = 4x + 16
< 1 = 4(31) + 16
< 1 = 124 + 16
< 1 = 140
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Find the measure of MNQ
xz_007 [3.2K]

Answer:

m∠MNQ = 158

Step-by-step explanation:

As it can be seen in the figure:

+) The measure of arc MQ = 91 degree

+) The measure of arc RP = 225 degree

As this is the circle, four points M, Q, P and R are on the circle, so that we have:

+) m∠RMP = 1/2. measure of arc RP = 1/2 x 225 = 112.5 degree

As N is on MP

=> m∠RMN = m∠RMP = 112.5

+) m∠ MRQ = 1/2 measure of arc MQ = 1/2 x 91 = 45.5 degree

As N is on RQ

=> m∠MRN = m∠MRQ = 45.5

In the triangle RMN, the total measure of 3 internal angles is equal to 180 degree, so that:

m∠MNR + m∠RMN + m∠MRN = 180

=> m∠MNR + 112.5 + 45.5 = 180

=> m∠MNR  = 180 -112.5 -45.5 = 22

As N is on QR

=> m∠MNR + m∠MNQ = 180

=> m∠MNQ = 180 - m∠MNR  = 180 - 22 = 158

So that m∠MNQ = 158

8 0
3 years ago
Original price =282$ %Markdown =10%
EleoNora [17]

Answer:

Markdown is a reduction in the price of a product, made either by a commercial promotion, by a limited-time offer, by a discount due to a failure in the product, or any other situation that implies the realization of said reduction in the final price of the product for sale.

Thus, if the original price of the product is $282, and it has a markdown of 10%, to determine the discounted amount and the final price of the product, the following calculation must be made:

282 x 0.10 = X

28.2 = X

Thus, the discount on the original price is $ 28.20. Therefore, the final sale price will be $ 253.80 (since 282 - 28.20 is equal to that number).

6 0
3 years ago
christine and kaylani are using ribbon to decorate a project in their art class. the ratio of the length of christine's ribbon t
fenix001 [56]

Answer:

6 yds

Step-by-step explanation:

7 + 3 = 10

christine: 7/10ths of ribbon

0.7(20)=14 yds

kaylani: 3/10ths of ribbon

0.3(20)=6 yds

7 0
3 years ago
A rectangle has an area of 45m2
Delvig [45]
The length is 9m. 45 divided by the width(5) equals the the length, which is 9.
8 0
4 years ago
What is the slope of the line on the graph
Reptile [31]

Answer: y= -2x


Step-by-step explanation:

(-3,6)(3,-6)


M= -6-6/3-(-3)

M= -12/6

M= -2


(-3,6 ) and m= -2, find b


Y=mx+b

6=-2(-3)+b

6= 6+b

6-6=b

0=b


Y= -2x


4 0
3 years ago
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