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.
I need help brainy pls!!!!!!!!
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
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.
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
Answer:
D) x = -3
Step-by-step explanation:
find the measure of a, b, c, d and e.
Answer:23
Step-by-step explanation:
Can anyone help with just the 2 bottom ones pls I begg
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.
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
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)
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?
Answer:
X= -20
Step-by-step explanation:
What single decimal multiplier would you use to increase by 4% followed by a 3% increase?
Use the distributive property to expand - 3x * (4d - 5e - 3f)
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
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
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?
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
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
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.
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?
Answer:
-36
Step-by-step explanation:
-3 ×12=--36
Please help, sorry if it’s blurry.
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.
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 :)
Answer:
The answer is b
Step-by-step explanation:
hey! i’ll give brainliest please help.
Answer:
I think Darius I is the correct answer.
Put Them in The box They Go in
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
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
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
Answer:
rectangle only has 4 sides , a rectangular prism has 6 sides
Help me with this question
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
Simplify the left side of equation so it looks like the right side. cos(x) + sin(x) tan(x) = sec (x)
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]