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Paladinen [302]
3 years ago
9

Can someone help me with this question? I need the statement reasoning! Thank you so much I will mark brainliest!

Mathematics
2 answers:
Sergeu [11.5K]3 years ago
7 0
Triangle ABD and triangle CDB are similar because:
-it is given that angle A and angle C are equal, both 90
-angle ABD and angle CDB are equal because they are alternate interior angles
- side DB and side DB are the same length
- two triangles are equal because of AAS
kupik [55]3 years ago
4 0

Answer:

As per HL Postulate the triangles are congruent

Step-by-step explanation:

Given: m∠A = m∠C = 90° and  AD = CB

Prove: ΔABD ≅ ΔCDB

--------------------------

Since angles A and C are right angles, ΔABD and ΔCDB are right triangles

DB is common side, so

  • DB ≅ BD
  • AD ≅ CB is given
  • ∠DAB ≅ ∠ BCD given

As per HL Postulate if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent

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A right triangle ABC is shown below:
barxatty [35]
The answer is:  "4" .
______________________________________________________
<u>Note</u>:  The question asks for a whole number.

"The area of the triangle above will equal one half of a rectangle that is 5 units long and <u>  4  </u><u /> units wide.  (Input only whole numbers, such as 8.).
______________________________________________________
<u>Note</u>:  The diagram shows a "right triangle" ; which would be "one-half" of a rectangle, with units of "length" being "5 units" (as mentioned in this very question prompt;  and a width of "4" units (as shown in the diagram;  hence the answer is "4" units). 

Furthermore, the formula/equation for the area, "A" , of a triangle is: 


A = (1/2) * b * h ; 

that is: 

Area = (1/2) * (base length) * (perpendicular height).
_________________________________________________
As such, the answer, "4" (units) makes sense.
_________________________________________________
6 0
3 years ago
Read 2 more answers
A line in standard (x,y) coordinate plane passes through the points (7.5 ,-4.25) and (12.5,-6) find the slope of the line
Svet_ta [14]

Answer:

Step-by-step explanation:

Rise over run. Difference in y values is rise. 4.25 -6 is -1.75. Run s difference in x values. 12.5 -7 is 5. Divide -1.75/5 to get -0.35 As a faction thats -7/20

4 0
3 years ago
If G is the circumcenter of triangle ABC, AG = 6x + 1, GC = 9x – 11, and BC = 38, find GF.
maks197457 [2]

Answer:

GF = 16.25

Step-by-step explanation:

If G is the circumcenter of triangle ABC, AG = 6x + 1, GC = 9x – 11, and BC = 38, find GF.

Step 1

We find x

AG = GC

6x + 1 =9x - 11

Collect like terms

1 + 11 = 9x - 6x

12 = 3x

x = 12/3

x = 4

Step 2

We solve for AG

GC = 9x + 11

GC = 9(4) + 11

GC = 36 + 11

GC = 25

Step 3

Solving for GF, using Pythagoras Theorem

GF² + BG² = GC²

GF² = GC² - BG²

GF = √GC² - BG²

GF = √25² - 19²

GF = √264

GF = 16.248076809

GF = 16.25

6 0
3 years ago
Simplify expression X^2+x-2/x^3-x^2+2x-2
professor190 [17]

Answer:


=\frac {x+2}{x^2+2} is the simplest form of given expression.


Step-by-step explanation:

The given question is \frac{x^2+x-2}{x^3-x^2+2x-2}


To solve the problem we have to group or split middle term and then factorise


\frac{x^2+(2x-x)-2}{(x^3-x^2)+(2x-2)}


Taking x^2 common from first two terms of denominator and 2 from next two terms


= \frac{x^2+2x-x-2}{x^2(x-1)+2(x-1)}


Now,taking x common from first two terms of numerator and -1 from next two terms and in denominator taking(x-1) common from both terms


= \frac{ x(x+2)-1(x+2)}{(x-1)(x^2+2)}



=\frac{(x+2)(x-1)}{(x-1)(x^2+2)}


Now cancel out x-1 from both numerator and denominator we get


=\frac {x+2}{x^2+2} is the required simplest form.



7 0
3 years ago
Easy question so yall get can get brainliest by answering correctly first
storchak [24]

Answer:

Answer:

Distance is 13.6 units.  

Which means it is 13

Step-by-step explanation:

Given a grid shows the positions of subway stop and house. The subway stop is located at (-7, 8) and house is located at (6, 4).

we have to find the distance between house and the subway stop.

Points are (-7, 8) and (6, 4).

Using distance formula,

D= /(x2-x1)^2+(y2-y1)^2} = (6-(-7))^2+(4-8)^2=(13)^2+16}={169+16}={185}=13.60147\sim13.6units.

Hence, distance between house and the subway stop is 13.6 units.

3 0
3 years ago
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