Diagram 5 shows a triangle ABD such that AD = 17 cm, AB = 10 cm and BD = 21 cm. The straight line AC is perpendicular to the straight line BD and the value of area of triangle ABD is an integer. Calculate the length of AC, in cm. (4 marks)
Answers
Answer:
8
Step-by-step explanation:
100 = x^2 + AC^2
17^2 = AC^2 + (21 - x)^2
289 = AC^2 + 21^2 + x^2 - 2*21*x
289 = AC^2 + 441 + x^2 - 42x
from 1st equation AC^2 + x^2 = 100
289 = 441 + 100 - 42x
289 = 541 - 42x
42x = 541 - 289 = 252
x = 252/42 = 6
so AC^2 = 100 - 6^2 = 100 - 36 = 64
AC = 8
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what is 120 times 1 over 100
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120/100 = 12/10 = 6/5
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State what additional information is required in order to know that the triangles are congruent for the reason given. If possible, write the triangle congruence statement.
refer to attachment
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ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
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Answer:
The measure of <CAO = 21°
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Given g(x)=−6x+3, find g(−4). To earn full credit, show your work using a method explained in the Orientation.
Answers
Answer:
g(-4) = 24 + 3 = 27
Step-by-step explanation:
We find the value of g(-4) by substituting -4 for x in g(x)= −6x + 3:
g(-4) = -6(-4) + 3, or
g(-4) = 24 + 3 = 27
Answer:
27
Step-by-step explanation:
substitute -4 for x
-6(-4) + 3
24 + 3
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wich statement is true about the graphs of the two lines y=-6 and ×=1/6?
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In ∆GHI and ∆JKL, GH = JK, HI = KL, GI = 9’, m∠H = 45°, and m∠K = 65°. Which of the following is not possible for JL: 5’, 9’ or 11’?
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
is it correct?
or not
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……………………..
What is the answer to n?
Answers
Answer:
n = 108
Step-by-step explanation:
The three medians of a triangle intersect at the same point inside the triangle.
The segment from a vertex to the point in the center is 2 times as long as the
other part of the median line. So OC is 2 times KC.
KC =108
OC = 2(108)
2n + 10 = 216
2n = 206
n = 108
In ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .
What is median of a triangle?" Median of a triangle is defined as the line segment passing the vertex of a triangle and intersect at mid point of its opposite side.Intersecting point of three medians is known as Centroid."
Property used
Centroid divides the median in the ratio of [tex]2:1[/tex] from vertex side.
According to the question,
Given,
In ΔABC,
BL, AM, CK are the medians of a triangle ABC.
'O' represents the Centroid
[tex]KC = 108\\\\OC = 2n +10[/tex]
Ratio of [tex]KC : OC = 3: 2[/tex]
Substitute the value of KC and OC we get,
[tex]108 : (2n + 10) = 3:2\\\\\implies 3 (2n+ 10) = 2(108)\\\\\implies 6n + 30 = 216\\\\\implies 6n = 186\\\\\implies n = 31[/tex]
Hence, in ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .
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Answers
If you want a detailed solution
Tell me
216+5( 8+1/5) Please i need it asap ty!
Answers
216+41
257
Please brainlyest
Answer:
257
Step-by-step explanation:
216 + (5 x(8 + 1/5)
Sketch the graph of each line by identifying the x-and y-intercepts.
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And goes all the way from -inf to +inf of the x-axis and doesn’t intersect with x-axis
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Answer:
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Step-by-step explanation:
(x + 3) is a factor of the polynomial x^3 + 2x^2 - 5x + n.
What is the value of n?
Answers
Answer:
n = - 6
Step-by-step explanation:
Given (x + h) is a factor of a polynomial f(x) then f(- h) = 0
Here
f(x) = x³ + 2x² - 5x + n and (x + 3) is a factor then f(- 3) = 0 , that is
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I need #1 done (show work) will give brainliest
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Step-by-step explanation:
Statement Reason
∠5 and ∠7 are vertical angles Vertical angles theorem
m∠5 = m∠7 Definition of vertical angles
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-2(3x - 4) = 3(x - 3) - 1 Substitution property of equality
-6x + 8 = 3x - 9 - 1 Distributive property
3x + 6x = 8 + 10 Addition property
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x = 18/9 Division property
x = 2 Proved
Solve.
1/3(x+3/5)=3
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x=48/5
Answers
Answer:
x = 42/5 is the answer to this question
Option B is correct, the solution to the equation is x = 42/5.
The given equation is 1/3(x + 3/5) = 3.
We have to solve for x:
x is the variable in the equation.
Multiply both sides by 3 to get rid of the fraction:
1/3(x + 3/5) × 3 = 3 × 3
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Subtract 3/5 from both sides to isolate the x term:
(x + 3/5) - 3/5 = 9 - 3/5
x = 9 - 3/5
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A restaurant allows groups to rent a private room in the restaurant for $50. This is in addition to the cost of food which is $10 per person.
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Answers
Answer:
See attached
Step-by-step explanation:
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Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
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Given: m∠2=x
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m∠2=
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Answers
Answer:
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Step-by-step explanation:
I'm going to assume this is a straight angle
Supplementary anglesSupplementary angle are two angles that equal 180°
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2x + 31 = 5
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꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
[tex] \sf \: 2x + 31 = 5[/tex]
[tex]\sf \longmapsto \: 2x = 5 - 31[/tex]
[tex]\sf \longmapsto \: 2x = -26[/tex]
[tex]\sf \longmapsto{x }= \frac{ - 26}{2} [/tex]
[tex]\sf \longmapsto \: x = - 13[/tex]
[tex] \boxed{\sf - 13}[/tex]
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i
Step-by-step explanation:
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Answer:
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so I looked it up an this is what I got How do you write 2.5 as an integer?
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Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
−2/9x+2.7=4
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divide -2.9 from both sides
x= -.4482 or x= -.45
By VCR Sales A dealer carries two models of VCRs. One sells for
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Step-by-step explanation:
[tex](x+7)(x-2)[/tex]
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Step-by-step explanation:
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FOIL = First, Outer, Inner, Last