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mojhsa [17]
3 years ago
14

A rectangle’s width is 4 less than its length. If the area of the rectangle is 77 units2 , determine its dimensions.

Mathematics
1 answer:
irga5000 [103]3 years ago
7 0
It would be 12 and 8. aka the last one
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The ratio of the ages (in years) of two teachers is 8 : 9. The sum of their ages is 51. What is the age of each teacher?
Keith_Richards [23]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
What is the measure of ZY, in degrees?
ankoles [38]
There is no picture/reference to go off of
8 0
3 years ago
3 1/10- 2 5/6 in simplest form​
Allushta [10]

Answer:

\frac{4}{15}

Step-by-step explanation:

3  \frac{1}{10}  - 2 \ \frac{5}{6}

Convert the above mixed numbers to improper fractions through this simple approach: 3 × 10 + 1 /10 = 31/10. Similarly, 2 × 6 + 5 /6 = 17/6

\frac{31}{10}  -  \frac{17}{6}

Take the LCM of the denominators and simplify. LCM = 60. Thus, 60/10 = 6; 6 × 31 = 186. Also, 60/6 =10; 10×17 =170 all divide by 60:

=  \frac{186 - 170}{60}

Common factors between the numerator and denominator is 4, therefore 16/4 = 4 and 60/4 = 15.

=  \frac{16}{60}  =  \frac{4}{15}

Therefore the answer is 4/15 in simplest form.

8 0
3 years ago
When a book of 100 pages is opened, the sum of the facing page numbers can be divided by 5, the quotient is a product of 3 and 7
statuscvo [17]
Sum means the result of addition.
Quotient means the result of division.
Product means the result of multiplication.

The product of 3 and 7 is 21, because:
3 × 7 = 21

Therefore, the quotient is 21.

Let the sum of the facing page numbers = x:
Therefore, x/5 = 21
Rearranging the equation to find x (the sum of the facing page numbers) gives us:
x = 21 × 5
= 105
So the sum of the facing page numbers is 105.

The only two adjacent numbers which add up to 105 are 52 and 53, so the facing page numbers must be 52 and 53.
3 0
3 years ago
1. Consider the figure below where ZV is parallel to WY.
Hatshy [7]

Answer:

Part A:

m∠VHT = 152°

Part B:

m∠QTS = 152°

Part C:

m∠ZHQ = 28°.

Step-by-step explanation:

Part A:

The given parameters are;

m∠HXU = 113°

Segment BQ and segment UD intersect at m∠XAT = 95°

We have that m∠HXU + m∠HXS = 180° (Angles on a straight line)

Therefore;

m∠HXU  = 180° - m∠HXS = 180° - 113° = 67°

m∠HXU = 67°

m∠XAT + m∠XAH = 180° (Angles on a straight line)

m∠XAH  = 180° - m∠XAT = 180° - 95° = 85°

m∠XAH = 85°

In triangle XAH, we have;

m∠XAH + m∠HXU + m∠XHA = 180° (Angle sum property of a triangle)

∴ m∠XHA = 180° - (m∠XAH + m∠HXU) = 180° - (85° + 67°) = 28°

m∠XHA = 28°

m∠VHT + m∠XHA = 180° (Angles on a straight line)

m∠VHT  = 180° - m∠XHA = 180° - 28° = 152°

m∠VHT = 152°

Part B:

m∠QTS ≅ m∠VHT (Corresponding angles are congruent)

∴ m∠QTS = 152° (Substitution property)

Part C:

m∠ZHQ ≅ m∠XHA  (Reflexive property)

∴ m∠ZHQ = 28°.

3 0
3 years ago
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