# The orthocenter of an obtuse triangle always lies __________. A.on a vertex of the triangle B.on the inside of the triangle C.on the outside of the triangle D.on the triangle

QUESTION POSTED AT 18/01/2020 - 06:09 AM

QUESTION POSTED AT 18/01/2020 - 06:09 AM

The correct answer is D

1) 75

2) 192 cm^3

3) 1800 cm^2

4) 19/20

5) 60 cm

2) 192 cm^3

3) 1800 cm^2

4) 19/20

5) 60 cm

ANSWERED AT 21/02/2020 - 09:17 AM

QUESTION POSTED AT 21/02/2020 - 09:17 AM

**Answer:**

**The possible answer is 10 in. **

**Step-by-step explanation:**

Two sides of a triangle measure 5 in. and 12 in.

If three side of triangle are a, b and c then sum of two side is always greater than third side.

**Sum of two side greater than third side. **

a+b>c

a+c>b

b+c>a

**Difference of two side is less than third side.**

a-b<c

b-c<a

a-c<b

Here, we are given two sides of a triangle 5 in and 12 in.

Possible length of third side be

**12-5 < c < 12+5 **

**7<c<17**

Third side must be lie between 7 to 17.

According to option, Third side must be equal to 10 in.

**Hence, The possible answer is 10 in. **

ANSWERED AT 20/02/2020 - 10:45 PM

QUESTION POSTED AT 20/02/2020 - 10:45 PM

Length of triangle 48/3=16

75/100*16=12

length of new triangle=16+12=28

75/100*16=12

length of new triangle=16+12=28

ANSWERED AT 20/02/2020 - 10:33 PM

QUESTION POSTED AT 20/02/2020 - 10:33 PM

You just add all of the sides together

4.5+5.5+6= 16in.

4.5+5.5+6= 16in.

ANSWERED AT 20/02/2020 - 10:31 PM

QUESTION POSTED AT 20/02/2020 - 10:31 PM

7cm because two sides of a triangle are equal so the shortest side is the bottom and the other two sides are equal 7cm

ANSWERED AT 20/02/2020 - 10:29 PM

QUESTION POSTED AT 20/02/2020 - 10:29 PM

Please provide more information or a picture.

ANSWERED AT 20/02/2020 - 10:25 PM

QUESTION POSTED AT 20/02/2020 - 10:25 PM

**Answer:**

**Step-by-step explanation:**

He can not construct a triangle because when you add up two of the side lengths they are supposed to be greater the the remaining side length for example 8+14>23 would be incorrect because 8+14 equals 22 which means it would not be greater than 23 and therefore that is why he can not construct a triangle.

ANSWERED AT 20/02/2020 - 10:22 PM

QUESTION POSTED AT 20/02/2020 - 10:22 PM

Tan55 = x/43

x = tan(55) * 43

x = 61.4 cm

x = tan(55) * 43

x = 61.4 cm

ANSWERED AT 20/02/2020 - 10:18 PM

QUESTION POSTED AT 20/02/2020 - 10:18 PM

**Answer:**

b2 = 14

b1 = 7

**Step-by-step explanation:**

Area_triangle = 1/2 * b * h

Area _trapezoid = (b1 + b2)*h1/2

Since the areas of the two figures are the same, we get

1/2 * b * h = (b1 + b2)*h1/2 multiply both sides by 2.

b*h = (b1 + b2) * h1

b=21

h = 6

2*b1 = b2

21*6 = (b1 + 2*b1)*6 Divide by 6

21 = 3*b1 Divide by 3

7 = b1

2*b1 = b2

b2 = 14

ANSWERED AT 20/02/2020 - 10:11 PM

QUESTION POSTED AT 20/02/2020 - 10:11 PM

B acute because they r all smaller then 90

ANSWERED AT 20/02/2020 - 09:54 PM

QUESTION POSTED AT 20/02/2020 - 09:54 PM

ANSWERED AT 20/02/2020 - 09:53 PM

QUESTION POSTED AT 20/02/2020 - 09:53 PM

The correct answer is A

ANSWERED AT 20/02/2020 - 09:50 PM

QUESTION POSTED AT 20/02/2020 - 09:50 PM

E. he did not multiply 3 by -1 correctly

The simplify expression is 9 - 3 + 6x = 6 + 6x

The simplify expression is 9 - 3 + 6x = 6 + 6x

ANSWERED AT 20/02/2020 - 09:49 PM

QUESTION POSTED AT 20/02/2020 - 09:49 PM

⇒ΔXYZ -------**Reflected**----------ΔX'Y'Z'--------**Dilated by a scale factor of 2 to Obtain** ------------ΔX"Y"Z".

When two objects are compared ,such that one of which is reflection of other , the two Geometrical shape are Congruent.The** Meaning of Congruent is Corresponding Sides as well Corresponding Angles are equal.**

So, **ΔXYZ≅ΔX'Y'Z'**

⇒When One Image is **dilation** of Other, the two Geometrical shapes are Similar.

When shapes are **Similar, Corresponding Sides are Proportional and Corresponding Angles are equal.**

⇒ **ΔXYZ ~ ΔX'Y'Z'**

**Remember this Property**

**⇒**Congruent shapes are always Similar, but Similar shapes are not always Congruent.

**Correct Statements are**

**Option A: →**Triangle XYZ is congruent to triangle X'Y'Z'.

**Option C: →**Triangle XYZ is similar to triangle X”Y”Z”.

**Option D:→**Triangle X”Y”Z” has longer side lengths than triangle XYZ.

ANSWERED AT 20/02/2020 - 09:30 PM

QUESTION POSTED AT 20/02/2020 - 09:30 PM

2.25mm, 3mm and 3.75mm

ANSWERED AT 20/02/2020 - 06:09 PM

QUESTION POSTED AT 20/02/2020 - 06:09 PM

Area of a triangle= 1/2bh

14x5.5=77

77/2=38.5cm^2

14x5.5=77

77/2=38.5cm^2

ANSWERED AT 20/02/2020 - 01:34 PM

QUESTION POSTED AT 20/02/2020 - 01:34 PM

**Answer:**

option 4: Cosec ∠B equals 4 over 3

**Step-by-step explanation:**

**Given** :In Right triangle ABC

AB = 5

AC = 6

**BC = 8. **

Solution : we will use trigonometric ratios

.

Since we know that options are given for cot angle and cosec angle

So, we will consider trigonometric ratios of cosec angle and cot angle i.e.

cosec θ= Hypotenuse/Perpendicular

cotθ = Base/Perpendicular

Option 1 : cot angle B equals 6 over 5

Since cotθ = Base/Perpendicular

For ∠B base is AB and perpendicular is AC (refer the attached figure )

therefore , Cot ∠B = AB/AC

⇒**Cot ∠B = 5/6 **

Thus Cot ∠B equals 5 over 6

while **we are given cot angle B equals 6 over 5 **

Hence **option 1 is wrong**

Now, consider option 2 cosec angle C equals 3 over 4

cosec θ = Hypotenuse/Perpendicular

For ∠C perpendicular is AB and Hypotenuse is BC(refer the attached figure )

therefore , Cosec ∠C = BC/AB

⇒**Cosec ∠C = 8/5**

Thus Cosec ∠C equals 8 over 5

while **we are given Cosec ∠C equals 3 over 4.**

Hence** option 2 is wrong.**

Now, consider option 3 cot angle C equals 8 over 5

Since cotθ = Base/Perpendicular

For ∠C base is AC and perpendicular is AB (refer the attached figure )

therefore , Cot ∠C = AC/AB

⇒**Cot ∠B = 6/5**

Thus Cot ∠C equals 6 over 5

while** we are given cot angle C equals 8 over 5 **

Hence **option 3 is wrong.**

Now, consider option 4 cosec angle B equals 4 over 3

cosec θ = Hypotenuse/Perpendicular

For∠B perpendicular is AC and Hypotenuse is BC(refer the attached figure )

therefore , Cosec ∠B = BC/AC

⇒Cosec ∠B = 8/6

**Cosec ∠B = 4/3**

Thus Cosec ∠B equals 4 over 3

And** we are given the same Cosec ∠B equals 4 over 3.**

Hence** option 4 is correct**.

ANSWERED AT 20/02/2020 - 01:31 PM

QUESTION POSTED AT 20/02/2020 - 01:31 PM

A.three sides measuring 9 meters, 5 meters, and 5 meters

--> only one isosceles triangle

B.three sides measuring 6 inches, 3 inches and 9 inches

--> none triangle may be formed because 9 = 3 + 6 and there is a rule (the triangle inequality theorem) that states the length of any side must be less than the sum of the lengths of other two sides.

C.three angles measuring 25°, 25°, and 130°

**--> 25 + 25 + 130 = 180 => you can construct many triangles with these angles **

D.three angles measuring 55°, 25°, and 125°

--> 55 + 25 + 125 = 205 > 180 => you cannot construct any triangle with theses measures.

--> only one isosceles triangle

B.three sides measuring 6 inches, 3 inches and 9 inches

--> none triangle may be formed because 9 = 3 + 6 and there is a rule (the triangle inequality theorem) that states the length of any side must be less than the sum of the lengths of other two sides.

C.three angles measuring 25°, 25°, and 130°

D.three angles measuring 55°, 25°, and 125°

--> 55 + 25 + 125 = 205 > 180 => you cannot construct any triangle with theses measures.

ANSWERED AT 20/02/2020 - 01:16 PM

QUESTION POSTED AT 20/02/2020 - 01:16 PM

An equilateral triangle is always a acute triangle

ANSWERED AT 20/02/2020 - 01:07 PM

QUESTION POSTED AT 20/02/2020 - 01:07 PM

82 X 10-6 glm3of pollutants in the air. ... The weight of 1m3 of air is approximately 1.3 X 103g.Suppose that the volume of air inside of a building is 3 x 106 m3.

ANSWERED AT 20/02/2020 - 12:07 PM

QUESTION POSTED AT 20/02/2020 - 12:07 PM

Cosine is negative in Quadrant II and III

Tangent is positive in Quandrant I and III

Theta is in Quadrant III

Tangent is positive in Quandrant I and III

Theta is in Quadrant III

ANSWERED AT 20/02/2020 - 11:55 AM

QUESTION POSTED AT 20/02/2020 - 11:55 AM

**Answer:**

Yes because all the triangles can fit along this line

**Step-by-step explanation:**

just do the math!

7 x 4 = 28

12 x 4 = 48

The higher numbers might be higher on the line but still in the same line :)

ANSWERED AT 20/02/2020 - 11:52 AM

QUESTION POSTED AT 20/02/2020 - 11:52 AM

Number 3. because, obtuse, right, and acute are different types of angles and are types of triangles.

ANSWERED AT 20/02/2020 - 11:25 AM

QUESTION POSTED AT 20/02/2020 - 11:25 AM

1/4, 25%, o .25 del jardín estaba cubierto de flores. 3/4, 75% o .75 del jardín estaba cubierto con verduras.

Espero que esto fue útil!

Espero que esto fue útil!

ANSWERED AT 19/02/2020 - 01:44 PM

QUESTION POSTED AT 19/02/2020 - 01:44 PM

There exists the same question with the figure as shown in the attachment.

The given are:

g = 40 degrees

k = 45 degrees

Ask:

angle of " l "

So this is how to solve this:

Step 1:

Since CEF is an equilateral triangle, then each has 60 degrees.

i is equal to l because they are opposite angles

Step 2:

angle l is inside CEF, then the value of angle l is 60

The given are:

g = 40 degrees

k = 45 degrees

Ask:

angle of " l "

So this is how to solve this:

Step 1:

Since CEF is an equilateral triangle, then each has 60 degrees.

i is equal to l because they are opposite angles

Step 2:

angle l is inside CEF, then the value of angle l is 60

ANSWERED AT 19/02/2020 - 12:21 PM

QUESTION POSTED AT 19/02/2020 - 12:21 PM

Yes, the shape is a very rare shape that not many people know about

ANSWERED AT 19/02/2020 - 10:48 AM

QUESTION POSTED AT 19/02/2020 - 10:48 AM

SAS stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal. If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

In the given triangles RQS and NTV ,RQ ≅ NT and <∠Q ≅ ∠T .We need one more side to be equal to prove the triangles to be congruent.

Among all the options option c. No, it is necessary to know that another set of corresponding sides is congruent is the right answer.

ANSWERED AT 19/02/2020 - 01:06 AM

QUESTION POSTED AT 19/02/2020 - 01:06 AM

**Answer:**

**Rotation about 90° counter clockwise (x , y) →→ ( -y, x ). **

**Step-by-step explanation:**

Given : Triangle XYZ has vertices X(1, 3), Y(0, 0), and Z(–1, 2). The image of triangle XYZ after a rotation has vertices X'(–3, 1), Y'(0, 0), and Z'(–2, –1).

To find : Which rule describes the transformation.

Solution : We have given

vertices X(1, 3) →→ X'(–3, 1)

Y(0, 0) →→ Y'(0, 0),

Z(–1, 2) →→ Z'(–2, –1).

**Here , we can see in each coordinates value of y become -x and x become y.**

(x , y) →→ ( -y, x ) this the rule of rotation about 90° counter clockwise.

**Therefore, rotation about 90° counter clockwise (x , y) →→ ( -y, x ). **

ANSWERED AT 19/02/2020 - 12:56 AM

QUESTION POSTED AT 19/02/2020 - 12:56 AM

**Answer**

**The rule of rotation about the origin in counter-clockwise is given by:**

**The rule of rotation of about the origin in clockwise is given by:**

Given the coordinates of triangle RST :

R(1, 1)

S(-2, -4)

T(-3, -3)

**We have to find the coordinates of S'**

Apply the rule of rotation 270 degree counterclockwise on RST:

To find the S'

**Apply the rule of rotation 270 degree clockwise** **we have;**

**Therefore, the coordinates of S' counterclockwise is: (-4, 2) and clockwise is: (4, -2)**

ANSWERED AT 19/02/2020 - 12:49 AM

QUESTION POSTED AT 19/02/2020 - 12:49 AM

Isosceles Triangle has 2 equals sides

ANSWERED AT 19/02/2020 - 12:42 AM

QUESTION POSTED AT 19/02/2020 - 12:42 AM