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1 year ago

Can you please help me with this two questions

Mathematics

1 answer:

Natali [406]1 year ago

3 0

Answer:

2) d. 60°

3) a. AB

Step-by-step explanation:

Question 2

ΔABC and ΔCDA are congruent because:

they are both right triangles

they share one side (AC)

their hypotenuse are parallel (marked by the arrows)

This means the corresponding side lengths and angles are equal.

Therefore,

∠CDA = ∠ABC

⇒ x = 60°

Question 3

The hypotenuse is the longest side of a right triangle - the side opposite the right angle (the right angle is shown as a small square).

Therefore, the hypotenuse of ΔABC is the line AB.

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2x+6=2 I need help with this plss

Natalka [10]

Step-by-step explanation:

Going to assume you need to know that value of x

2x + 6 = 2

isolate the variable by subtracting 6 on both sides

2x = 8

divide by 2

x = 4

5 0

3 years ago

Read 2 more answers

Jonathan deposited $10,000 into a new savings account with a simple interest rate of 3.8%. If account has earned $2,470 in inter

vichka [17]

Answer:

6.5 years

Step-by-step explanation:

the amount depositited times percent diveded by the intrest is the years

5 0

3 years ago

If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3

horrorfan [7]

Answer: The correct option is (B) 24 : 25.

Step-by-step explanation: Given that the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2 : 3.

We are to find the ratio of the area of R to the area of S.

Let 2x, 3x be the sides of rectangle R and y be the side of square S.

Then, according to the given information, we have

$\textup{Perimeter of rectangle R}=\textup{Perimeter of square S}\\\\\Rightarrow2(2x+3x)=2(y+y)\\\\\Rightarrow 5x=2y\\\\\Rightarrow \dfrac{x}{y}=\dfrac{2}{5}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Therefore, the ratio of the area of R to the area of S is

$\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.$

Thus, the required ratio of the area of R to the area of S is 24 : 25.

Option (B) is CORRECT.

6 0

3 years ago

Please help me answer this

Ronch [10]

Answer:

10.77

Step-by-step explanation:

by using Pythagoras theorem we can find the distance between the points,

so...

distance between the points, which is the hypotenuse will be xy

difference between the y coordinates will be dy

difference between the x coordinates will be dx

according to pythagoras theorem,

$xy^{2} = dx^{2} + dy^{2} \\xy^{2} = (-6-(-2))^{2} + (-5-5)^{2}\\xy^{2} =(-4)^{2} +(-10)^{2} \\xy^{2} =16+100\\xy^{2} =116\\xy =\sqrt{116} \\xy=10.77$

8 0

2 years ago

. In Problem 2, how many lateral faces would there be if the base had

Alla [95]

The number of lateral faces for a hexagonal prism or pyramid is 6.

<h3>What is a prism?</h3>

A prism is a three dimensional figure consisting of pair of opposite bases and lateral faces which are parallelogram.

Given that the base off the prism has two sides of length 3 inches and four sides of length 2 inches. Hence the base is hexagonal. The lateral faces would be 6.

The number of lateral faces for a hexagonal prism or pyramid is 6.

Find out more on prism at: brainly.com/question/23963432

6 0

2 years ago

Can you please help me with this two questions ​

Can you please help me with this two questions