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2 years ago

Thanks for help ✨pppp

Mathematics

2 answers:

Elan Coil [88]2 years ago

7 0

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goldfiish [28.3K]2 years ago

4 0

Answer:

Step-by-step explanation:

In similar triangles, corresponding angles will be in the same ratio

EA = DA - DE = 10 - 5 =5

$\dfrac{EA}{DE}=\dfrac{BA}{CB}\\\\\\\dfrac{5}{5}=\dfrac{6}{x+3}\\\\1 =\dfrac{6}{x+3}$

Cross multiply,

x +3 = 6

Subtract 3 from both sides

x = 6 - 3

x = 3

x +1 = 3+ 1 = 4

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What is the measure of? angle PQR [Not drawn to scale) -51 -55 -74 -78

soldi70 [24.7K]

Given:

The exterior angle P is 74°

The measure of ∠PRQ is 51°

We need to determine the measure of ∠PQR

Measure of ∠QPR:

From the figure, it is obvious that P is the intersection of the two lines.

The angle 74° and ∠QPR are vertically opposite angles.

Since, vertically opposite angles are always equal, then the measure of ∠QPR is 74°

Thus, the measure of ∠QPR is 74°

Measure of ∠PQR:

The measure of ∠PQR can be determined using the triangle sum property.

Thus, we have;

$\angle PQR+\angle QPR+\angle PRQ=180^{\circ}$

Substituting the values, we get;

$\angle PQR+74^{\circ}+51^{\circ}=180^{\circ}$

$\angle PQR+125^{\circ}=180^{\circ}$

$\angle PQR=55^{\circ}$

Thus, the measure of ∠PQR is 55°

Hence, Option B is the correct answer.

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2 years ago

Read 2 more answers

Jenny works in a picture framing shop. She has a function f(x) equals X +2 that find the size of a square frame, given a picture

Iteru [2.4K]

Given:

The function for size of a square frame is

$f(x)=x+2$

where, x is the side length of the picture.

The function for the price in dollars for the frame is

$p(x)=3x$

To find:

The single function for the price of a picture with an edge length of x.

Solution:

We know that, for a picture with an edge length of x.

Size of a square frame = f(x)

Price in dollars for the frame = p(x)

Single function for the price of a picture with an edge length of x is

$(p\circ f)(x)=p(f(x))$

$(p\circ f)(x)=p(x+2)$ $[\because f(x)=x+2]$

$(p\circ f)(x)=3(x+2)$ $[\because p(x)=3x]$

Let the name of this function is c(x). So,

$c(x)=3(x+2)$

Therefore, the required function is $c(x)=3(x+2)$ .

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3 years ago

The function f(x)=(x-5)^2 +2 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the in

Anon25 [30]

We have been given a quadratic function $f(x)=(x-5)^{2} +2$ and we need to restrict the domain such that it becomes a one to one function.

We know that vertex of this quadratic function occurs at (5,2).

Further, we know that range of this function is $[2,\infty)$ .

If we restrict the domain of this function to either $(-\infty,5]$ or $[5,\infty)$ , it will become one to one function.

Let us know find its inverse.

$y=(x-5)^{2}+2$

Upon interchanging x and y, we get:

$x=(y-5)^{2}+2$

Let us now solve this function for y.

$(y-5)^{2}=x-2\\
y-5=\pm \sqrt{x-2}\\
y=5\pm \sqrt{x-2}\\$

Hence, the inverse function would be $f^{-1}(x)=5+\sqrt{x-2}$ if we restrict the domain of original function to $[5,\infty)$ and the inverse function would be $f^{-1}(x)=5-\sqrt{x-2}$ if we restrict the domain to $(-\infty,5]$ .

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2 years ago

The vertex of this parabola is at (2, -4). When the y-value is -3, the x-value is -3. What is the coefficient of the squared ter

lyudmila [28]

Answer:

The squared term is 1/25

Step-by-step explanation:

The parabola equation in the vertex form is

$y = a \times (x - h)^2 + k$

where point (h,k) is the vertex and a is the squared term. In this case h = 2 and k = -4. On the other hand, we know that y = -3 and x = -3 are in the parabola. Replacing these values in the formula gives

$-3 = a \times (-3 - 2)^2 - 4$

Solving for a

$-3 + 4 = a \times (-5)^2$

$1 = a \times 25$

$a = \frac{1}{25}$

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2 years ago

The cost of having a package delivered has a base fee of $9.70. Every pound over 5 lbs cost an additional $0.46 per pound. Write

FrozenT [24]

The linear model of this case takes the form:

y = a(x-b) + k

The cost of having a package delivered has a base fee of $9.70
this is "k" >>>>> k=9.7 (fixed amount of fee)

THEN


Every pound over 5 lbs cost an additional $0.46 per pound

that means: 0.46(x-5)
in other words, if the package weighs foe example 9 pounds, then 9-5=4, it will cost 0.46*4 for these 4 extra pounds

Finally we have the linear form of this: C = 0.46 (W - 5) + 9.7

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2 years ago