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2 years ago

If AACB= ADCE, ZBAC = 3x-10, ZECD = 45°, and ZEDC = 2x+10 D C (33 E x= [?]

Mathematics

1 answer:

inna [77]2 years ago

6 0

Answer: 20

Step-by-step explanation:

By CPCTC,

$3x-10=2x+10\\\\x=20$

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Solve for x by factoring x^2 + 2x = 24 Please help

ryzh [129]

= 4

= -6
HOPE THIS HELP ^_^

5 0

2 years ago

4. Stacey currently has an account balance of $1,007.78. Her Initial deposit on the account was $616 and it earned 5.3% simple i

Serjik [45]

Answer:

12 Years

Step-by-step explanation:

Simple interest is calculated as I = Prt, where P is the principal (amount of money invested), r = rate of interest written as decimal, and t = time

The amount started as P and incresed by Prt, so

P + Prt = 1007.78

616 + (616)(0.053)t = 1007.78

Now you need to solve for t:

Subtract 616 from both sides and simplify:

32.648t = 391.78

Divide both sides by 32.648:

t = 12

Answer: 12 years

7 0

3 years ago

A food company originally sells cereal in boxes with dimensions 25 cm by 14 cm by 10 cm. To make more profit, the company decrea

hjlf

Answer:

1.75 cm

Step-by-step explanation:

We are given that the dimensions of the box as 25 cm by 14 cm by 10 cm.

Now, to increase the profit, the dimensions of the box by 'x' cm.

Thus, the new dimensions are (25-x) cm by (14-x) cm by (10-x) cm.

Further, it is given that the volume of the new box is 2,208 $cm^{3}$

As, Volume of the box = Length × Breadth × Height

i.e. 2208 = (25-x) × (14-x) × (10-x)

i.e. $2208 = (25-x) \times (140-24x-x^{2})$

i.e. $2208=x^{3}-x^{2}-740x+3500$

i.e. $x^{3}-x^{2}-740x+1292=0$

On solving this cubic equations, we get that, the solutions are x = 27.6, x = 1.75 and x = 26.8.

Since, the dimensions 25 cm by 14 cm by 10 cm are reduced by x cm.

Thus, if x = 27.6 or x = 26.8, then (10-x) = -17.6 or -16.8, which cannot be possible. So, x = 1.75 cm.

Hence, the dimensions were decreased by 1.75 cm.

3 0

2 years ago

Please help asap 18 pts + brainliest to right/best answer

olga55 [171]

What two numbers add up to -1 and multiply to -72?

-9 and 8

Rewrite the expression above

(x - 9)(x + 8)

6 0

2 years ago

A clothing store is having a sale in which everything is 10% off. A shirt's original price is $27. A customer uses a coupon for

Brums [2.3K]

Answer:

C. $7.70

Step-by-step explanation:

First, you have to calculate the 10% of the price and subtract that from the price to find the amount of the discount:

$27*10%=$2.7

Now, you can add the amount of the discount plus the coupon to find the amount that the customer saved:

$5+$2.7=$7.7

According to this, the answer is that the customer saved: C. $7.70

5 0

2 years ago