All categories

3 years ago

Find the value of x in the diagram and explain your reasoning

Mathematics

1 answer:

Paul [167]3 years ago

7 0

Answer:

C 4.5 the two triangles in the diagram are similar.

Step-by-step explanation:

Since, the two triangles in the diagram are similar.

Therefore,

$4 \times x = 3 \times 6 \\ \\ x = \frac{18}{4} \\ \\ x = 4.5$

You might be interested in

6) Double a number is equal to the number decreased by five. Find the number.

Lemur [1.5K]

Answer:

B) -5

Step-by-step explanation:

let the number be x

2x=x-5

take x to the other side

2x-x=-5

×=-5

4 0

2 years ago

Write the standard form of the equation of the circle with the given characteristics. Center: (3, 5); Solution point: (−2, 17)

Angelina_Jolie [31]

$\text{we know that the general equation of the circle is }\\
\\
(x-h)^2+(y-k)^2=r^2\\
\\
\text{where, (h,k) is the center of the circle and r is the radius.}\\
\\
\text{Given that the centered of the circle is at }(h,k)=(3,5)\\
\text{and a solution point on circle is (-2,17).}\\
\\
\text{so the radius of the circle will be the distance between center and the }$

$\text{solution point. so using the distance formula, we have}\\
\\
\text{Radius, }r=\sqrt{(-2-3)^2+(17-5)^2}\\
\\
\Rightarrow r=\sqrt{25+144}\\
\\
\Rightarrow r=\sqrt{169}\\
\\
\Rightarrow r=13\\
\\
\text{Hence using the standard for of circle, equation of circle with center}\\
(h,k)=(3,5) \text{ and radius r=13 is}\\
\\
(x-3)^2+(y-5)^2=(13)^2\\
\\
\Rightarrow (x-3)^2+(y-5)^2=169$

3 0

3 years ago

A quality control engineer is testing the battery life of a new smartphone. The company is advertising that the

DIA [1.3K]

The question requires stating the Null and Alternative hypothesis for the scenario described :

Answer:

H0 : μ = 24

H1 : μ < 24

Step-by-step explanation:

The claim or hypothesis to be tested in a statistical problem or analysis is the alternative hypothesis. This is usually the opposite of the Null hypothesis which is the usually the initial truth until there is significant evidence provided using statistical test to prove otherwise.

The null hypothesis, H0 in the scenario above is :

H0 : μ = 24 ( average battery life is 24 hours)

The alternative hypothesis is the claim, that is. The mean battery life not up to 24 hours ;

H1 : μ < 24

4 0

2 years ago

Find the commission.

juin [17]

Answer:

63.9

Step-by-step explanation:

Convert 9% to a decimal: 0.09

710×.09=63.9

Please give me brainliest

3 0

3 years ago

How do I find the all of the angle measures of a kite with only one given angle?

ohaa [14]

Use the geometery rules of a kite to fiugure it out

8 0

3 years ago