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frozen [14]
3 years ago
7

consider the triangles shown below. which of the following relationship is needed to prove that ABD ...

Mathematics
1 answer:
Brrunno [24]3 years ago
5 0

A. is the answer.

the 2 triangls have AD = AC

and AB as a common side. therefore the triangls are congruent.

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Łatwy ułamek <br> 36/7-3/5-4/10
Free_Kalibri [48]

Answer:

4 \frac{1}{7}

Step-by-step explanation:

\frac{36}{7}  -  \frac{ 3}{5}  -  \frac{4}{10}  \\  \\ lcm  \: \: is \:  \: 70 \\  \\  \frac{360 - 42 - 28}{70}  \\  =  \frac{290}{70}  \\  =  \frac{29}{7}  \\  = 4 \frac{1}{7}

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5 0
3 years ago
1. The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag a
lapo4ka [179]

Answer:

Option d :18 bags of chips and 6 jars of salsa

Step-by-step explanation:

Given :  The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60.

Inequality : 2.5x+4y\leq 60

Solution :

x represents chips

y represents salsa

Option a: 10 bags of chips and 2 jars of salsa

so, x = 10 and y =2

Putting values in inequality

2.5(10)+4(2)\leq 60

25+8\leq 60

33\leq 60

Hence it is correct.

Option b : 20 bags of chips and 2 jars of salsa

so, x = 20 and y =2

Putting values in inequality

2.5(20)+4(2)\leq 60

50+8\leq 60

58\leq 60

Hence it is correct.

Option c : 14 bags of chips and 5 jars of salsa

so, x = 14 and y =5

Putting values in inequality

2.5(14)+4(5)\leq 60

35+20\leq 60

55\leq 60

Hence it is correct.

Option d :18 bags of chips and 6 jars of salsa

so, x = 18 and y =6

Putting values in inequality

2.5(18)+4(6)\leq 60

45+24\leq 60

69\geq 60

Hence it is not correct since it violates the inequality

4 0
3 years ago
Read 2 more answers
What is the solution to the following equation?
o-na [289]
The Answer is A.


To solve the equation for x you need to find a, b and c of the quadratic then apply the quadratic formula resulting in that answer.
7 0
3 years ago
Todea what did one pencil say to another mathematics algebra order of operations answer
Serjik [45]
Part 1

6- \frac{18-3^2}{4+(2-3)} =6- \frac{18-9}{4+(-1)}  \\  \\ =6- \frac{9}{4-1} =6- \frac{9}{3} =6-3 \\  \\ =3



Part 2

7-8\div4(3^2-1)=7-8\div4(9-1) \\  \\ =7-8\div4(8)=7-8\div32=7- \frac{1}{2} \\  \\ =6  \frac{1}{2} = \frac{13}{2}



Part 3

2-2(2-5)^2+3^2=2-2(-3)^2+9 \\  \\ =2-2(9)+9=2-18+9=-7



Part 4

(5^2-9\cdot3)^2-11=(25-27)^2-11 \\  \\ =(-2)^2-11=4-11=-7



Part 5

[(2-3)^2-5]\cdot4=[(-1)^2-5]\cdot4 \\  \\ =(1-5)\cdot4=-4\cdot4=-16



Part 6

12-11\cdot2+16\div8=12-22+2 \\  \\ =-8



Part 7

-5+1\cdot3-(7-2^3)=-5+3-(7-8) \\  \\ =-2-(-1)=-2+1=-1



Part 8

8+2\cdot3-14\div7=8+6-2 \\  \\ =12



Part 9

(8-2)^2+\frac{1}{4}[4-3(6-10)]=6^2+\frac{1}{4}[4-3(-4)] \\  \\ =36+\frac{1}{4}[4-(-12)]=36+\frac{1}{4}(4+12)=36+\frac{1}{4}(16) \\  \\ =36+4=40



Part 10

7+(2-3^2)\cdot5=7+(2-9)\cdot5 \\  \\ =7+(-7)\cdot5=7+(-35)=7-35 \\  \\ =-28



Part 11

3-2[2^3+(-1)^3]=3-2[8+(-1)] \\  \\ =3-2(8-1)=3-2(7)=3-14 \\  \\ -11



Part 12

18+6\div3(2^2+5)=18+6\div3(4+5) \\  \\ =18+6\div3(9)=18+6\div27=18+ \frac{2}{9} \\  \\  =18 \frac{2}{9}
8 0
3 years ago
Math - algebra (9th grade) please include work
Naily [24]

Answer:

Step-by-step explanation:

Y)  \frac{x+4}{8} = 3

*multiply both sides by 8 - cancels out 8 in denominator*

x + 4 = 24

*subtract 4 from both sides*

x = 20

E) \frac{x-5}{2} = 1

*multiply both sides by 2 - cancels out 2 in denominator*

x - 5 = 2

*add 5 on both sides*

x = 7

N) \frac{x+2}{4} = 2

* multiply both sides by 4 - cancels out 4 in denominator*

x + 2 = 8

*subtract 2 from both sides*

x = 6

3 0
3 years ago
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