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Andrew [12]
2 years ago
11

Given the following diagram, find the missing measure.

Mathematics
1 answer:
madam [21]2 years ago
6 0

m3 = 110°

Step-by-step explanation:

m1 = 180° - m4 ( sum of angles in a straight angle )

m1 = 180° - 150° = 30°

m3 = 180° - (m2 + m1) ← sum of angles in a triangle

m3 = 180° - (40 + 30 )° = 180° - 70° = 110°

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Solving quadratics using square root:<br>12 + (x-2)^2= 3
jeka94
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6 0
3 years ago
Pete adds 78 to the fata set below. 20,32,32,45,50. Which statement below will be true?
ozzi

Answer:

the inter-quartile range will increase

Step-by-step explanation:

The initial data-set was;

20,32,32,45,50

Adding a new value 78 will have several effects;

The mean of the new set of values will increase since 78 is mostly likely to be an outlier.

The median of the new data set will increase. The median of the old data set is 32 while that of the new data set will be 38.5

The mode is the most frequent observation. Both the new and the old sets of values will have a mode of 32. The mode will therefore remain the same.

The inter-quartile range just like the range will increase

4 0
3 years ago
1. a.) Find the Surface Area and Volume of the right prism. Surface Area: 9 am Volume: LE 6 cm 17 cm​
lutik1710 [3]

Answer:

Step-by-step explanation:

9 times 6 times 17 = volume

918 - volume

surface area= 2( length times width plus length times height plus height times width )

So just substitute the values and you get 618 cm squared

have a wonderful Day!

3 0
3 years ago
Find the product of 7xy and x to the 14th z
8090 [49]

Answer:

7x^15yz

Step-by-step explanation:

7(x^14x)y · z

7(x^14+1)y · z

7x^15yz

8 0
3 years ago
A rectangle has sides measuring (2x + 7) units and (5x + 9) units. Part A: What is the expression that represents the area of th
andrey2020 [161]

Answer:

Part A:  

(2x+7)(5x+9)

=(2x+7)(5x+9)

=(2x)(5x)+(2x)(9)+(7)(5x)+(7)(9)

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=10x2+53x+63

A)

The formula for determining the area of a rectangle is given as

Area = length × width

Given that the length and width are (2x + 6) units and (5x + 3) units, the expression for the area is

(2x + 6)(5x + 3) = 10x² + 6x + 30x + 18

Area = 10x² + 36x + 18

B)

The degree is 2 because the highest power of the terms is 2. It is classified as a trinomial because it has 3 terms.

C) it is closed under multiplication. the exponents in the polynomials are whole numbers(2 and 1). The whole numbers are closed under addition, which means that the new exponents formed are also whole numbers. The exponents were whole numbers before multiplication and doesn't change after multiplication.

Step-by-step explanation:

3 0
3 years ago
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