An isosceles triangle has legs that measure 10 feet. If the height of the triangle is 7 feet, find the length of its base

For each expression , use a property to write an equivalent expression. Tell which property you used

jasenka [17]

X+13 = 13+x
i used commutative property

4(2x-3) = 8x-12
i used distributive property

2(a+b) = 2a + 2b
i used distributive property

6 0

4 years ago

Write an inequality representing the fact that the total perimeter of the garden is at most 40 ft

dlinn [17]

Answer:

Part A) $x+y\leq 20$

Part B) The solution in the attached figure

Step-by-step explanation:

<u><em>The complete question is</em></u>

Suppose Rick has 40 ft of fencing with which he can build a rectangular garden. Let X represent the length of the garden and let Y represent the width.

A. Please write an inequality representing the fact that the total perimeter of the garden is at most 40 ft.

B. Please sketch part of the solution set for this inequality that represents all possible values for the length and width of the garden.

Part A)

Let

x ----> the length of the rectangular garden

y ----> the width of the rectangular garden

we know that

The perimeter of the rectangular garden is equal to

$P=2x+2y$

In this problem the word "at most" means "less than or equal to"

so

The inequality that represent this situation is

$2x+2y\leq 40$

Simplify

$x+y\leq 20$

Part B) we have

$x+y\leq 20$

Isolate the variable y

subtract x both sides

$y\leq -x+20$

The solution of the inequality is the shaded area below the solid line $y= -x+20$

The slope of the solid line is negative (m=-1)

The y-intercept of the solid line is (0,20)

The x-intercept of the solid line is (20,0)

therefore

The solution is the triangular shaded area

see the attached figure

Remember that

Both the length and the width must be positive

3 0

4 years ago

The answers to 19 & 20

stellarik [79]

Ok thanks ;;;;;;;)))))))

6 0

3 years ago

Help me plz I will help u rank up marking u as the brainliest (:

Alexeev081 [22]

The first one is 9/16 you have to make 54 and 96 a fraction such as 54/96 then simplify

the second one is 1/5 you have to make 4 and 20 a fraction like this 4/20 then simplify

hope this helps!!

8 0

4 years ago

Read 2 more answers

Whole proofs page for 50 points (serious answers only or report and 1 star)

lord [1]

The reasons that can be used to complete the two column table used to prove the required expressions are;

1. ∆ABD Cong. ∆CBE Side-Angle-Side, SAS, rule of congruency

2. ∆ABC cong. ∆EDC Angle-Side-Angle, ASA, rule of congruency

<h3>Which postulates can be used to complete the tables?</h3>

1. Statements Reasons

1) <A = <C Given

2) AB = BC. Congruent sides of isosceles triangle

3) AE Cong. DC. Given

4) AE = DC. Definition of congruency

5) ED Cong. ED. Reflexive property of equality

6) AE + ED = DC + ED Addition property of equality

7) AE + ED = AD, DC + ED = CD Addition property of equality

8) AD = ED, Substitution property of equality

9) AD Cong. ED Definition of congruency

10) ∆ABD Cong. ∆CBE Side-Angle-Side, SAS, rule of congruency

2. Statements Reasons

1) AB || DE Given

Midpoint of BD = C Given

2) <ABC Cong. <EDC Alternate angles formed by parallel lines

3) BC Cong. CD Definition of midpoint

4) <ACB Cong. <DCE Vertical angle theory

5) ∆ABC cong. ∆EDC Angle-Side-Angle, ASA, rule of congruency

Learn more about the rules of congruency here:

brainly.com/question/4186813

#SPJ1

3 0

2 years ago