answer with full solutions​

Answer With Full Solutions

Answers

Answer 1

Answer:

66 cm²

Step-by-step explanation:

From the given figure, and the question statement we have;

BD = 11 cm, AE = 7 cm, CF = 5 cm

The given quadrilateral ABCD consists of two triangles; ΔABD and ΔBCD

The area of quadrilateral ABCD = The sum of the areas of ΔABD and ΔBCD

The base length of the two triangles equals segment BD = 11 cm

The height of triangle ΔABD = 7 cm

The area of a triangle = (1/2) × Base length × Height

∴ The area of triangle ΔABD = (1/2) × 11 cm × 7 cm = 38.5 cm²

Similarly;

The area of triangle ΔBCD = (1/2) × 11 cm × 5 cm = 27.5 cm²

∴ The area of quadrilateral ABCD = 38.5 cm² + 27.5 cm² = 66 cm²

The area of the given figure (quadrilateral ABCD) = 66 cm².


Related Questions

I need help brainy pls!!!!!!!!​

Answers

Answer:

its the first one

Step-by-step explanation:

im in 8th grade and im like a 11th grader bc im smart :)

D
A
Which point is the
orthocenter of AABC?
F
E
B
A. Point D
B. Point E
C. Point F

Answers

Answer:

the answer is point f. mostly the answer of such type of questions are the points which do not lie ON the circle

Classify the polygon: Coordinates: A(1, 4), B(4, 5), C(5, 2) Explain your answers. Must show all work to support your reasoning. a. Classify ∆ABC as equilateral, isosceles, or scalene. Explain your reasoning. b. Determine if ∆ABC is a right triangle. Explain your reasoning. c. Find the perimeter and area of ∆ABC. Round decimal answers to the nearest tenth.

Answers

Answer:

a. ΔABC is an isosceles triangle

b. ΔABC is a right triangle

c. The perimeter of ΔABC is approximately 10.8

Step-by-step explanation:

The given vertices of the polygon, are;

A(1, 4), B(4, 5), C(5, 2)

By observation of the differences of the coordinates of the given points, the points are non-linear, as the rate of increase in the y-values, for a given increase in the x-value, is not constant

The length of segments of the triangle ΔABC are found using the formula for finding the distance, 'd', between points given their coordinates, (x₁, y₁), (x₂, y₂), as follows;

[tex]d = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

The length of segment, [tex]\overline {AB}[/tex] = √((5 - 4)² + (4 - 1)²) = √10

The length of segment, [tex]\overline {AC}[/tex] = √((2 - 4)² + (5 - 1)²) = √20

The length of segment, [tex]\overline {BC}[/tex] = √((2 - 5)² + (5 - 4)² = √10

The length of segment, [tex]\overline {AB}[/tex] = The length of segment, [tex]\overline {BC}[/tex], therefore, ΔABC is an isosceles triangle by definition of an isosceles triangle which is a triangle that have two sides of equal length

ΔABC is an isosceles triangle

b. According to Pythagoras' theorem, the sum of the squares of the two shorter sides (the legs) of a right triangle = The square of the length of the longest side

In if triangle ΔABC is a right triangle, we should have;

[tex]\overline {AB}[/tex]² + [tex]\overline {BC}[/tex]² = [tex]\overline {AC}[/tex]²

Checking gives;

(√10)² + (√10)² = 10 + 10 = 20 = (√20)²

Whereby [tex]\overline {AB}[/tex]² (= (√10)²) + [tex]\overline {BC}[/tex]² (= (√10)²) = (√20)² = [tex]\overline {AC}[/tex]², ΔABC is a right triangle

ΔABC is a right triangle

c. The perimeter of ΔABC = The length of segment, [tex]\overline {AB}[/tex] + The length of segment, [tex]\overline {AC}[/tex] + The length of segment, [tex]\overline {BC}[/tex]

∴ The perimeter of ΔABC = √10 + √10 + √20 ≈ 10.7966912753

By rounding off to the nearest tenth, the perimeter of ΔABC ≈ 10.8.

HELP ASAP!!!!!!!!!!Please

Answers

Answer:

D)  x = -3

Step-by-step explanation:

find the measure of a, b, c, d and e.

Answers

Answer:23

Step-by-step explanation:

Can anyone help with just the 2 bottom ones pls I begg

Answers

Answer:

D: y=58

Step-by-step explanation:

pls mark brainliest

Mila graphs the point A (5, 0) on a coordinate plane.
Which of the following statements are true?
Select all that apply.



Point A is 5 units to the________(Please fill this box any of these choices in A-E)



A. right of the origin and up 1 unit.




B. The x-coordinate of point A is 5.



C. The y-coordinate of point A is 5.



D. Point A is on the y-axis.




E. Point A is on the x-axis.

Answers

Answer:

B,E

Step-by-step explanation:

(5,0) (5=x, 0=y)

A is false because y = 0

B is true because x=5

c is false because y = 0

D is false because again y = 0

E is true because 5,0 is on the x axis

- Gage Millar, Algebra 2 tutor

If tan0 = 4/11, then what will tan(90- 0) be? Please show work

Answers

Answer:

11/4

Step-by-step explanation:

tan(90-x)=cot(x) by cofunction identity

tan(90-x) is therefore the reciprocal value of tan(x) since tan(x) is the reciprocal of cot(x) or vice versa.

tan(90-x)=11/4 since tan(x)=4/11

Answer:

11/4

Step-by-step explanation:

[tex]\tan(90-\theta) = \frac{\sin(90-\theta)}{\cos(90-\theta)} = \frac{\cos\theta}{\sin\theta}=\cot\theta = \frac{1}{\tan\theta} = \frac{11}{4}[/tex].

on a venn diagram shade the region
a'n(bnc)​

Answers

Answer:

See the three attached images.

Step-by-step explanation:

image1 shows the intersection of b and c:  [tex]b \cap c[/tex]. (green "football")

image2 shows the complement of a (outside a):  [tex]a'[/tex]  (yellow)

image3 shows the intersection of those sets:  [tex]a'\cap (b\cap c)[/tex] (green "football with a bite out of it")   :-)

3 (x-1) - 8 = 4 (1+x) + 5 Solve it please?

Answers

Answer:

X= -20

Step-by-step explanation:

What single decimal multiplier would you use to increase by 4% followed by a 3% increase?

Answers

The decimal multiplier would be 1.0712

Use the distributive property to expand - 3x * (4d - 5e - 3f)

Answers

9514 1404 393

Answer:

  -12dx +15ex +9fx

Step-by-step explanation:

  - 3x * (4d - 5e - 3f) = (-3x)(4d) +(-3x)(-5e) +(-3x)(-3f)

  = -12dx +15ex +9fx

Find all vertical asymptotes of the following function f(x)=9x^2-64/2x+14

Answers

Answer:

Step-by-step explanation:

Was the latter half of this function, -64 / 2x + 14, meant to be:

-64 / 2x              +              14, or

-64 / (2x + 14)?

In the first case the vertical asymptote is x = 0.

In the second, the vertical asymptote is the root of 2x + 14, or x = -7

Use parentheses in problems such as this one, to eliminate ambiguity.

3/19 of [7/9+{3/4/(1/2-1/3)}] simplify

Answers

Answer:

simplify to get the answer i think it would be 0.2

Step-by-step explanation:

The line y = 6 - 2x passes through the point (2, 2)
is it correct?​

Answers

Answer:

Yes

Step-by-step explanation:

We can substitute the point (2, 2) into the equation. So, in place of x would be 2 and in place of y would be 2 as well:

y = 6 - 2x

2 = 6 - 2(2)

2 = 6 - 4

2 = 2

Since the above is a true statement, the point (2, 2) must belong to the line y = 6 - 2x

Yes, the line y=6-2x passes through the point (2, 2).

Given that, the line y=6-2x passes through the point (2, 2).

What is the slope intercept form?

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

Here, substitute (x, y)=(2, 2) is the given line y=6-2x, we get

2 = 6-2(2)

2 = 2

Since, LHS = RHS

Yes, the line y=6-2x passes through the point (2, 2).

To learn more about the slope intercept form visit:

brainly.com/question/9682526.

#SPJ2

Solve each equation, explain how you figured it out. (No fake answers!!Proper ones pleaser!!)

A. 25 - 3x = 40

B. 2 (x - 10) = -4

Answers

Answer:

A. x= -5

B. x= 8

Step-by-step explanation:

A. 25 - 3x = 40

-3x = 40 - 25

-3x = 15

x= 15/-3

x= -5

B. 2 (x-10) =  -4

x-10 = -4/2

x-10 = -2

x = 8

A. 25 - 3x = 40

         -3x = 40 - 25

               = 15

            -x = 15/3

             x = -5

   Checking

    25 - 3*-5 = 40

    25 + 15 = 40

            40 = 40

       LHS = RHS

B. 2(x-10) = -4

    2x - 20 = -4

            2x = -4 +20

             x = 16/2 = 8

Hope u understand

Please mark as the brainliest

Thank You


In the figure below, m ZABD=70°, and m 2 2 is four times m 2 1. Find m2 1.
А
mZ1 = 33
]
B
D
Recheck
Try one last time
2021

Answers

Answer:

angle m1 = 14 degrees

Step-by-step explanation:

angle ABD = 70 deg

angle m1 + angle m2 = 70 deg

angle m2 = 4 * angle m1

angle m1 + (4 * angle m1) = 70 deg

5 * angle m1 = 70 deg

angle m1 = 14 deg

Find the value of x.

Answers

Answer:

⏩12°

Step-by-step explanation:

4x + 7° + 35° = 90° {being complementary angles }

4x + 42° = 90°

4x = 90° - 42°

4x = 48°

x = 48° / 4

x = 12°

Hope it will help :)❤

Step-by-step explanation:

35°+4x+7°=90°

or,42°+4x=90°

or,4x=90°/42°

or,x=2.14/4

or,x=0.53

hope this helps

What number divided by −3 gives 12 as the result?

Answers

Answer:

-36

Step-by-step explanation:

-3 ×12=--36

Solution,
Let x is the results
From question we know
For x if divides by -3 we can get 12 so
So x/-3=12
Or. x= 12 x -3
So x= -36 is answer
Conclusion : = -36 number divided by -3 gives 12 as the results.

Please help, sorry if it’s blurry.

Answers

Answer:

0.35

Step-by-step explanation:

j.g susghe yo s9ss9sssisjwus

Answer: D) 385.2

What you give me in the comments 1,540.7......789.4.....1,155.5.....385. I think that was the choice for me to put what kind of answer you want!

Step-by-step explanation: Hope this help :D

Find the surface area of the prism.

A triangular prism. The base triangle is a right triangle with a base of 8 centimeters, slant height of 17 centimeters and height of 15 centimeters. The height of the prism is 7 centimeters.

Answers

Answer:

400cm²

Step-by-step explanation:

Total surface area of a prism includes the area of the top and bottom triangle sides of the prism, plus the area of all 3 rectangular sides.

Base & Bottom triangle area: 2 x [(8 x 15)/2] = 120cm²

Side triangle area: 17 x 7 + 8 x 7 + 15 x 7 = 280cm²

Total surface area = 280 + 120 = 400cm²

Anyone got me ? Let me knowww :)

Answers

Answer:

The answer is b

Step-by-step explanation:

hey! i’ll give brainliest please help.

Answers

Answer:

I think Darius I is the correct answer.

Put Them in The box They Go in

Answers

Answer:

[tex] \frac{1}{3} \times r - 4 \\ 3 \times r - 4 \\ \frac{1}{3} \times r + 4 \\ 3(r + 4)[/tex]

need help to pass please

Answers

Answer:

x=1

Step-by-step explanation:

a(a+b)=c(c+d)

4(6x+4)=5(3x+5)

24x+16=15x+25

9x=9

x=1

hii! please help asap. i’ll give brainliest

Answers

Answer:

4

Step-by-step explanation:

The numbers you have are 2, 2, 3, 4, 8, 8, 8

First, cross out 2 on the very left and 8 on the very right.

Then you are left with 2, 3, 4, 8, 8, Then cross out the 2 on the left and the 8 on the right, and you are left with 3, 4, 8. Cross out the 3 and 8, and you are left with the median, 4.

If this helps, make sure to rate it 5 stars and give me brainliest and a thanks!


Here is a rectangle.
4cm

6cm

6cm

4cm

The 6-sided shape is made from two of these rectangles.

Work out the perimeter of this 6-sided shap

Answers

Answer:

rectangle only has 4 sides , a rectangular prism has 6 sides

Help me with this question

Answers

Answer:

24

Step-by-step explanation:

41-17=24

The probability that one wristband is defective is 1/20. In a case of 840 wristbands, how many would be defective

Answers

Answer :

42 wristbands would be defective

Explanation :

840•1/20=42

Simplify the left side of equation so it looks like the right side. cos(x) + sin(x) tan(x) = sec (x)

Answers

Step-by-step explanation:

Consider LHS

[tex] \cos(x) + \sin(x) \tan(x) = \sec(x) [/tex]

Apply quotient identies

[tex] \cos(x) + \sin(x) \times \frac{ \sin(x) }{ \cos(x) } = \sec(x) [/tex]

Multiply the fraction and sine.

[tex] \cos(x) + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x) [/tex]

Make cos x a fraction with cos x as it denominator.

[tex] \cos(x) \times \cos(x) = \cos {}^{2} (x) [/tex]

so

[tex] \frac{ \cos {}^{2} (x) }{ \cos(x) } + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x) [/tex]

Pythagorean Identity tells us sin squared and cos squared equals 1 so

[tex] \frac{1}{ \cos(x) } = \sec(x) [/tex]

Apply reciprocal identity.

[tex] \sec(x) = \sec(x) [/tex]

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