All categories

3 years ago

Triangle ABC ~ DEF. find the value of x.

Mathematics

1 answer:

Aloiza [94]3 years ago

7 0

Answer:

Step-by-step explanation:

Since the 2 triangles shown are congruent, the corresponding angles are equal.

Angle A corresponds to angle D. We set them equal and solve for x:

$2x+8=52\\2x=52-8\\2x=44\\x=\frac{44}{2}\\x=22$

First answer choice, 22 is right.

You might be interested in

The function below can be used to calculate the cost of making a long distance call, f(m), which is based on a $2.50 initial cha

Vera_Pavlovna [14]

F(m) = 2.5 + 0.12m

if Natalie paid $6.82

6.82 = 2.5 + 0.12m
0.12m = 6.82 - 2.5
0.12m = 4.32
m = 4.32 ÷ 0.12
m = 36

The call was 36 minutes long.

5 0

4 years ago

Custom Greetings places an order for 300 reams of card stock paper. Its supplier offers Custom Greetings a 35% trade discount. I

Y_Kistochka [10]

Answer:

Net price: $4972.50

Step-by-step explanation:

Percentages

We know a ream of paper has a list price of $25.50. Custom Greetings placed an order for 300 of them. If they have purchased them at list price, the total price would have been

300*25.50=$7,650

But we also know there was a 35% trade discount, so the net price of their order is

$7,650-$7,650*35/100=$4972.50

7 0

3 years ago

1 point

Margarita [4]

Answer:

35% or 0.35

Step-by-step explanation

If 20 grams is 100%, that means each gram is 5% of the whole. So 7 time 5 is 35.

4 0

4 years ago

Question 26 pleaseee

LuckyWell [14K]

Answer:

The inequality is $55+10x\leq 105$

The greatest length of time Jeremy can rent the jet ski is 5 and Jeremy can rent maximum of 135 minutes.

Step-by-step explanation:

Given: Cost of first hour rent of jet ski is $55

Cost of each additional 15 minutes of jet ski is $10

Jeremy can spend no more than $105

Assuming the number of additional 15-minutes increment be "x"

Jeremy´s total spending would be first hour rental fees and additional charges for each 15-minutes of jet ski.

Lets put up an expression for total spending of Jeremy.

$\$55+ \$ 10\times x$

We also know that Jeremy can not spend more than $105

∴ Putting up the total spending of Jeremy in an inequality.

$\$ 55+\$10x\leq \$ 105$

Now solving the inequality to find the greatest number of time Jeremy can rent the jet ski,

⇒ $\$ 55+\$10x\leq \$105$

Subtracting both side by 55

⇒ $\$ 10x\leq \$50$

Dividing both side by 10

⇒ $x\leq \frac{50}{10}$

∴ $x\leq 5$

Therefore, Jeremy can rent for $60\ minutes + 5\times 15\\= 60\ minutes + 75= 135\ minutes$

Jeremy can rent maximum of 135 minutes.

5 0

3 years ago

In the equation x^2+10x+24=(x+a)(x+b), b is an integer. Find algebraically all possible values of b

Vinil7 [7]

(x+4)(x+6)
(x+6)(x+4)

8 0

3 years ago