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3 years ago

The triangles are similar.

Mathematics

2 answers:

erik [133]3 years ago

6 0

5×4=20 , 12×4=48
53÷4 = 13 then
x=13

pishuonlain [190]3 years ago

5 0

Answer : The value of x is, 13

Step-by-step explanation :

As we know that when two object have same shape then they are similar. That means, when two triangles are similar then their ratios of lengths of their corresponding sides are equal.

Let the name of the big triangle be, PQR and small triangle be, XYZ.

Given:

PQR is similar to triangle XYZ. That means,

$\frac{PR}{PQ}=\frac{XZ}{XY}$

$\frac{52}{48}=\frac{x}{12}$

x = 13

Therefore, the value of x is, 13

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The Paralyzed Veterans of America is a philanthropic organization that relies on contributions. They send free mailing labels an

lions [1.4K]

Answer:

Confidence interval: (0.04649,0.04913)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 100,000

Number of people who donated, x = 4781

$\hat{p} = \dfrac{x}{n} = \dfrac{4781}{100000} = 0.04781
$

95% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting the values, we get:

$0.04781
\pm 1.96(\sqrt{\dfrac{0.04781
(1-0.04781
)}{100000}})\\\\=0.04781
\pm 0.00132\\\\=(0.04649,0.04913)$

is the required 95% confidence interval for the true proportion of their entire mailing list who may donate.

3 0

3 years ago

Solve for x: 2.5x - 10.5 = 64 (0.5) ^x

Andreyy89

The answer is x=5. This is because you need to simplify both sides and then isolate the variable.

6 0

2 years ago

Find the value of x in the diagram shown below.

koban [17]

Answer:

a) ∡ADC = 270°

b) ∠DAE = 38°

Step-by-step explanation:

Using Inscribed Angle Theorem :

∡ADC = 2 x ∠ABC
∡ADC = 2 x 135°
∡ADC = 270°

Similarly :

∠DAE = 1/2 x ∡DE
∠DAE = 1/2 x 76°
∠DAE = 38°

5 0

2 years ago

Read 2 more answers

11 divided by 25.95=

Lelu [443]

2.35909090909 or 2.4

3 0

3 years ago

Let P be a predicate. Determine whether or not each of the following implications is true and give a brief English explanation f

den301095 [7]

Answer:

See answer below

Step-by-step explanation:

1), Probably, your implication is ∀x∃yP(x,y)⇒∃x∀yP(x,y).

This implication is false. Consider the predicate P(x,y):="x<y" for real numbers x,y. Then, ∀x∃yP(x,y) is true: for all real x, there exists some y greater than x (take y=x+1 for example). However, ∃x∀yP(x,y) is false, as it would imply that there exists some real number x such that x is smaller than all real numbers, which is not true (real numbers do not have a minimum or a lower bound).

A short explanation would be, even if for all elements you can find one that makes a predicate true, you can not find one element that makes the predicate true for all elements.

2) Again, I assume that the predicate is ∃x∀yP(x,y)⇒∀x∃yP(x,y)

This implication is false. Consider the predicate P(x,y):="x is integer and xy=0 " for real numbers x,y. Then ∃x∀yP(x,y) is true, we need to take x=0. However, ∀x∃yP(x,y) is false, if you take x=1/2, 1/2 will never be an integer, no matter the value of y.

A short explanation would be, even if you can find one element that makes a predicate true for all elements, you can not always take an arbitrary element and find some element that makes the predicate true.

6 0

3 years ago