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2 years ago

In the diagram, rectangle ABCD is split in half by . What is the value of tan x? PLEAS HELP NEED IT ASAP!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

labwork [276]2 years ago

8 0

The correct answer is 4/3

deff fn [24]2 years ago

4 0

Answer:

tan(x) = $\frac{4}{3}$

Step-by-step explanation:

Given that a rectangle ABCD,

Length of side AB = 3

Length of side BC = 4

Length of diagonal AC = 5

In case of rectangle

AB = AD = 4

and

AB = CD = 3

In triangle ΔADC,

∠ACD = x

$tan(x)=\frac{opposite}{adjacent}$

$tan(x)=\frac{AD}{CD}$

$tan(x)=\frac{4}{3}$

That's the final answer.

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Isosceles △ABC (AC=BC) is inscribed in the circle k(O). Prove that the tangent to the circle at point C is parallel to AB .

timofeeve [1]

Explanation:

Let M be the midpoint of AB. Then CM is the perpendicular bisector of AB. As such, center O is on CM, and OC is a radius (and CM). The tangent is perpendicular to that radius (and CM), so is parallel to AB, which is also perpendicular to CM.

If you need to go any further, you can show that triangles CMA and CMB are congruent, so (linear) angles CMA and CMB are congruent, hence both 90°.

5 0

2 years ago

Christopher is analyzing a circle, y2 + x2 = 121, and a linear function g(x). Will they intersect?

serg [7]

The complete question and the picture in the attached figure

we have that
y^2 + x^2 = 121
is a circle with center at (0,0) and radius r=11 units
and
g(x)
points (-1,14) (0,12) (1,10)

using a graph tool
see the attached figure

the answer is
A. Yes, at the positive x coordinates.

7 0

2 years ago

Researchers are assessing a new screening tool (blood-based assay) for early identification of prostate cancer. The test is run

natima [27]

Answer: B. Accurate but not reliable

Step-by-step explanation:

An experiment is said to be "reliable" when it consistently gives the same answers when done repeatedly, when the experiment is carried out several times it gives the same result each times.

An experiment is said to be " accurate "

when it produce a correct result using the right procedure and method .

In this case the research assessing a new screening tools for early identification of prostate cancer, test result is "accurate but not reliable ", since the consistent test result was not accurate.

7 0

2 years ago

Jenny’s mother is 5 years older than twice Jenny's age. The sum of their ages is 62 years. This is represented by the equation x

Salsk061 [2.6K]

Answer:

Jenny´s age is 19 and her mother is 43.

Step-by-step explanation:

1. Plug in the first value of the set

41 is different from 62, so Jenny isn´t 12 years old.

2. Plug in the second value of the set

50 is different from 62, so Jenny isn´t 15 years old.

3. Plug in the third value of the set

59 is different from 62, so Jenny isn´t 18 years old.

4. Plug in the fourth value of the set

Therefore Jenny´s 19 years old.

5. Calculate Jenny´s mother age:

As the sum of their ages is 62 ages, we have the following equation

where

x=Jenny´s age

y=Jenny´s mother age

Therefore Jenny's mother age is 43 years old.

pls mark me brainliest

8 0

2 years ago

What is the answer to 22.5+7(n-3.4)

ruslelena [56]

Expand the given expression.
22.5 + 7(n - 3.4) = 22.5 + 7*n + 7*(-3.4)

Multiply +7 and -3.4 to obtain - 23.8. Therefore
22.5 + 7(n - 3.4) = 22.5 + 7n - 23.8

Write the constant terms together. Therefore
22.5 + 7(n - 3.4) = 7n + 22.5 - 23.8 = 7n - 1.3

Answer: 7n - 1.3

3 0

2 years ago