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3 years ago

7 hours to,mow 14 lawns Rate= unit rate=

Mathematics

2 answers:

denpristay [2]3 years ago

6 0

Answer:

Unit rate = 2 lawns/hour

Step-by-step explanation:

Given 7 hours to mow 14 lawns.

We have to calculate the unit rate to mow the lawn.

Since in 7 hours number of lawns mowed = 14

Therefore, in 1 hours the number of lawns mowed = $\frac{14}{7}$

= 2 lawns

In one hour 2 lawns.

Unit rate = 2 lawns/hour

romanna [79]3 years ago

4 0

If I did 14 lawns in 7 hours, I would have done 2 yards every hour! Hope this helps!

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Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why DEF=JK

NISA [10]

Answer:

A) AAS; B) LA; C) ASA

Step-by-step explanation:

AAS is the Angle-Angle-Side congruence statement. It says that if two angles and a non-included side of one triangle are congruent to the corresponding two angles and non-included side of a second triangle, then the triangles are congruent. In these triangles, ∠E≅∠K, ∠F≅∠L, and DE≅JK. These are two angles and a non-included side; this is AAS.

LA is the leg-acute theorem. It states that if a leg and acute angle of one triangle is congruent to the corresponding leg and acute angle of another triangle, then the triangles are congruent.

The leg we have congruent from each triangle is DE and JK. We also have ∠E≅∠K and ∠F≅∠L, both pairs of which are acute. This is the LA theorem.

ASA is the Angle-Side-Angle congruence statement. It says that if two angles and an included side of one triangle are congruent to the corresponding two angles and included side of another triangle, then the triangles are congruent.

We have that ∠D≅∠J, DE≅JK and ∠E≅∠K. This gives us two angles and an included side, or ASA.

7 0

2 years ago

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If n is a whole number, and 0.01 is between 1/n and 1/n+2, what is the value of n?

OLga [1]

The value of n is 99

Integers are the set of numbers including all natural numbers and 0. They are part of the real numbers that do not include fractions, decimals, or negative numbers. Counting numbers are also considered whole numbers.

Natural numbers together with zero (0) are referred to as whole numbers. We know that natural numbers refer to the set of counting numbers starting from 1, 2, 3, 4 and so on. Simply put, integers are a set of numbers without fractions, decimals, or even negative integers. It is a collection of positive integers and zero. Or we can say that integers are the set of non-negative integers.

Integers are the set of natural numbers togethe with the number 0. In mathematics, the set of integers is given as {0, 1, 2, 3, ...}, denoted by the symbol W.

W = {0, 1, 2, 3, 4, …}

All natural numbers are integers.

All integers are real numbers.

It is given that If n a whole number, and 0.01 is between 1/n and 1/n+2, then we need to find the value of n.

1/n+2 < 0.01 < 1/n

1/n+2 < 1/100 < 1/n

n< 100 < n +2

Put n = 99, then we get

99 < 100 < 101

Hence the value of n is 99.

Learn more about whole numbers here:

brainly.com/question/28052750

#SPJ4

3 0

1 year ago

Which graph shows the solution set for -5/2 x - 3_< 2?

nikitadnepr [17]

The answer is the 3rd graph

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2 years ago

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a piece of yellow yarn was 230 inches long. after 90 inches had been cut from it, the piece of yellow yarn was twice as long as

AlladinOne [14]

The yellow yarn was 160 inches longer than the blue yarn.

https://www.cpsb.org/site/handlers/filedownload.ashx?moduleinstanceid=8283&dataid=7357&FileName=4.HW.17.pdf

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2 years ago

Figure RHOM is a rhombus. and are the diagonals of the rhombus, as well as angle bisectors of the vertex angles, and they create

Ganezh [65]

Answer:

∠MSR is right angle

Step-by-step explanation:

It is given that RHOM is a Rhombus

Also ΔHOM, ΔMHR, ΔRHO and ΔOMR are isosceles triangles

Let us take ΔMSR and ΔRSH

∠MRS =∠HRS ( since it is given that the diagonal RO bisects ∠R)

∠RMS =∠RHS ( since Δ MRH is isosceles triangle )

RS = RS ( common side )

By AAS congruency rule ΔMSR ≅ ΔHSR

so we have

∠MSR=∠RSH ( corresponding parts of congruent triangles are congruent)

also we have

∠MSR +∠RSH =180° ( supplementary angles)

∠MSR +∠MSR=180° ( since ∠MSR=∠RSH)

2∠MSR= 180°

∠MSR =90°

Hence ∠MSR is right angle

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3 years ago

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