(-4x + 5)-( 6x +7)=0

Answer:

Perimeter of ΔABC =32.31 units

Area of the triangle ABC = 47.81 sq. unit

Step-by-step explanation:

In triangle ABC

[tex]\angle A = 60^{\circ}\\\angle C = 45^{\circ}[/tex]

Angle sum property of triangle : The sum of the measures of the all angles of triangle is 180°

[tex]\angle A + \angle B + \angle C = 180^{\circ}\\60 + \angle B + 45 = 180\\\angle B + 105 = 180\\\angle B = 75^{\circ}[/tex]

Now we are supposed to find the perimeter and the area of the ΔABC

We will use the sine rule to find the lengths of sides BC and AC

Sine rule : [tex]\frac{Sin A}{BC}=\frac{Sin B}{AC}=\frac{Sin C}{AB}[/tex]

[tex]\frac{Sin 60}{BC}=\frac{Sin 75}{AC}=\frac{Sin 45}{9}\\BC \times sin(45) = 9 \times sin(60)\\ BC = 11.02[/tex]

[tex]AC \times sin(45) = 9 \times sin(75)[/tex]

AC = 12.29

Perimeter of ΔABC = AB + BC + AC

Perimeter of ΔABC = 9 + 11.02 + 12.29 =32.31 units

Area by using the sine rule:

Area of the triangle ABC =[tex]\frac{1}{2} (AB)(BC) sin B[/tex]

Area of the triangle ABC =[tex]\frac{1}{2} (9)(11) sin(75)[/tex]

 Area of the triangle ABC = 47.81 sq. unit

Answer:

Let x be the number of hours for 1.74 miles

5.3 miles         3.2 hours

1.74 miles        x

When you cross multiply the above numbers you get the equation:

5.3x = 5.568

x = 5.568/5.3

x = 1.05

Therefore it takes 1.05 hours to walk 1.74 miles.

Answer:

5 pizzas

Step-by-step explanation:

18-12=6 each pizza with card saves 6$

$25 card cost÷$6 savings per pizza=4.16 pizza to break even. round up since cant buy fraction of pizza.

check

5 pizza with card 12 *5=60

60 + 25 = 85 spent in total

$5 *$18 = $90, no discount

4 pizza would be 73 with discount and 72 without

Answer:

Henry will buy 18 gift bags and 18 bows in 3 packs of gift bags and 2 packs of bows.

Step-by-step explanation:

Least Common Multiple (LCM)

Is the smallest positive number that is a multiple of two or more numbers. To find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number.

Since Henry wants to buy the same number of gift bags and bows and they are sold in packs with different quantities, we must find the LCM between those numbers.

Gift bags are sold in packs of 6. Bows are sold in packs of 9.

List the prime factors of 6: 2,3

List the prime factors of 9: 3,3

Multiply: 2*3*3=18

The  LCM is 18. This means Henry will buy 18 gift bags and 18 bows in 3 packs of gift bags and 2 packs of bows.

-3x+7

Step-by-step explanation:

The entire function f is being multiplied by -1, -1 isn't being plugged in for x in this case.

f -1(x)= -1(3x-7)

f -1(x)= -3x+7

Answer: 7p = $14.49

Step-by-step explanation: BRAINLIEST MEEE

Answer:

c

Step-by-step explanation:

Answer: Option C

(C) or Taable 3

Step-by-step explanation: