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2 years ago

Guys i need these answers badly so i would appreciate if someone responded Thanks !

Mathematics

1 answer:

nikdorinn [45]2 years ago

3 0

Answer:

Y is the midpoint of XZ, so XY = YZ

20x - 30 = 12x + 10
20x - 12x = 10 + 30
8x = 40
x = 5

Find XZ:

XZ = 2(XY) = 2(20*5 - 30) = 140

The answer is:

x = 5 and XZ = 140

------------------------

B is the midpoint of AC, so AB = BC

4x + 3 = 2x + 15
4x - 2x = 15 - 3
2x = 12
x = 6

Find AC:

AC = 2(AB) = 2(4*6 + 3) = 54

The answer is:

x = 6, AC = 54

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Terry sees this offer refurbished phone 35% off now only ?78 what was the original price

Ronch [10]

Answer:

$223.

Step-by-step explanation:

Let x be the original price of phone.

We are told that Terry sees this offer refurbished phone 35% off now only $78.

We need to find x such that 35% of x is 78. We can represent this information as:

$\frac{35}{100} x=78$

$0.35 x=78$

$x=\frac{78}{0.35}$

$x=222.8571428571428571\approx 223$

Therefore, the original price of phone was $223.

3 0

3 years ago

A, B & C form the vertices of a triangle.

kirza4 [7]

<h3>Answer: 20.3</h3>

Work Shown:

tan(angle) = opposite/adjacent

tan(B) = AC/AB

tan(67) = x/8.6

8.6*tan(67) = x

x = 8.6*tan(67)

x = 20.2603303460843 ... make sure your calculator is in degree mode

x = 20.3 .... rounding to 3 significant figures

see diagram below

6 0

2 years ago

A Shopkeeper

Sergio [31]

Answer:

The cost of bicycle is Rs1000

Step-by-step explanation:

Let x be the cost of bicycle

Total profit gained by the shopkeeper by selling at labelled price = 20%

Suppose he sell the bicycles at at 5% discount

Which means that the total profit he learn after discount will be:

20% -5% = 15%

The shopkeeper earns a profit of 15% if he sells at discount.

Profit gained by shopkeeper is:

15% of x = 15/100 · x

15% of x = 0.15x

Thus the profit gained will be 0.15x. As profit gained is equal to 150, we can say that

0.15x = 150

x = 1000

The cost of bicycle is Rs1000

4 0

3 years ago

A 16-ounce bottle of orange juice says it contains 200 milligrams of vitamin C, which is 250% of the daily recommended allowance

iren2701 [21]

Answer:

100% of the daily recommended allowance of vitamin C for adults is 80 milligrams.

Step-by-step explanation:

A 16-ounce bottle of orange juice says it contains 200 milligrams of vitamin C, which is 250% of the daily recommended allowance of vitamin C for adults.

100% will have = $\frac{200}{250}\times100$ = 80 milligrams

Hence, 100% of the daily recommended allowance of vitamin C for adults is 80 milligrams.

8 0

2 years ago

How do I find each measure? Please I need answers ASAP it's due at 1:50

Norma-Jean [14]

Answer:

Angle CAD is 44 degrees

Angle ACD is 44 degrees

Angle ACB is 136 degrees

Angle ABC is 22 degrees

Explanation:

29. Triangle ADC is an isosceles triangle because it has two equal sides.

If segments AD and DC are congruent, then segment AC is the base and the base angles of an isosceles triangle are equal.

Let x be angle CAD.

Let's go ahead x;

$\begin{gathered} 92+x+x=180\text{ (sum of angles in a triangle)} \\ 92+2x=180 \\ 2x=180-92 \\ 2x=88 \\ x=\frac{88}{2} \\ \therefore x=44^{\circ} \end{gathered}$

Therefore, measure of angle CAD is 44 degrees.

30. Measure of angle ACD is 44 degrees (Base angles of an isosceles triangle are equal)

31. Let angle ACB be y,

Let's go ahead and find measure of angle ACB;

$\begin{gathered} 44+y=180\text{ (angles on a straight line)} \\ y=180-44 \\ \therefore y=136^{\circ} \end{gathered}$

So measure of angle ACB is 136 degrees.

32. Let angle ABC be z.

Triangle ACB is also an isosceles triangle so the base angles are the same.

Let's go ahead and find z;

$\begin{gathered} 136+z+z=180_{}\text{ (sum of angles in a triangle)} \\ 138+2z=180 \\ 2z=180-136 \\ 2z=44 \\ z=\frac{44}{2} \\ \therefore z=22^{\circ} \end{gathered}$

So measure of angle ABC is 22 degrees.

3 0

9 months ago