Answer: False
If two lines intersect, then they intersect at one point only, so it makes no sense to mention a second point. This is assuming that we're not talking about two lines intersecting infinitely many times (i.e. one line overlapping another perfectly).
What are “DEC” and “CEF” I will mark the brainiest
[tex]\\ \rm\longmapsto <DEC+<CEF=180[/tex]
[tex]\\ \rm\longmapsto 11x-12+2x+10=180[/tex]
[tex]\\ \rm\longmapsto 13x-1=180[/tex]
[tex]\\ \rm\longmapsto 13x=169[/tex]
[tex]\\ \rm\longmapsto x=\dfrac{169}{13}[/tex]
[tex]\\ \rm\longmapsto x=13[/tex]
Now
[tex]\\ \rm\longmapsto 11x-12=11(13)-12=143-12=131[/tex]
[tex]\\ \rm\longmapsto 2x+10=2(13)+10=36°[/tex]
Answer:
∠ DEC = 142°, ∠ CEF = 38°
Step-by-step explanation:
∠ DEC and ∠ CEF are adjacent angles on the straight line and sum to 180° , so
11x - 12 + 2x + 10 = 180 , that is
13x - 2 = 180 ( add 2 to both sides )
13x = 182 ( divide both sides by 13 )
x = 14
Then
∠ DEC = 11x - 12 = 11(14) - 12 = 154 - 12 = 142°
∠ CEF = 2x + 10 = 2(14) + 10 = 28 + 10 = 38°
find the distance between the two points in simplest radical form
The distance between the two points (7, - 1) and (9, - 9) is,
d = √68
We have to given that,
To find the distance between the two points (7, - 1) and (9, - 9)
Since, The distance between two points (x₁ , y₁) and (x₂, y₂) is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
Hence, We get;
The distance between the two points (7, - 1) and (9, - 9) are,
d = √ (9 - 7)² + (- 9 + 1)²
d = √4 + 64
d = √68
Therefore, the distance between the two points (7, - 1) and (9, - 9) is,
d = √68
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Find the slope. Is mine right or does it need to be positive?
Answer:
The slope is -⅔ [ negative slope ]
Step-by-step explanation:
Consider two points spotted from the graph.
That is (3, 0) and (0, 2)
[tex]slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1}} [/tex]
y1 is 0
y2 is 2
x1 is 3
x2 is 0
substitute:
[tex]slope = \frac{2 - 0}{0 - 3} \\ \\ = - \frac{2}{3} [/tex]
The hypotenuse of a right triangle is 6 cm and one side is 2 cm longer than the other side. Find the length of each side to one decimal place.
Answer:
The two legs of the right triangle are approximately 3.1 cm and 5.1 cm and the hypotenuse is 6 cm.
Step-by-step explanation:
Let x be one leg of the right triangle.
Since the other leg is two centimeters longer, it can be represented by the expression:
[tex]x + 2 \text{ cm}[/tex]
According to the Pythagorean Theorem, for a right triangle:
[tex]a^2 + b^2 = c^2[/tex]
Where c is the hypotenuse and a and b are the two legs.
The hypotenuse is given to be 6 cm and the two legs are x and (x + 2). Hence:
[tex](x)^2 + (x+2)^2 = 6^2[/tex]
Solve for x. Simplify:
[tex]x^2 + (x^2 + 4x + 4) = 36[/tex]
Simplify:
[tex]2x^2 + 4x + 4 = 36[/tex]
Subtract:
[tex]2x^2 + 4x - 32 =0[/tex]
Divide:
[tex]x^2 + 2x - 16 = 0[/tex]
The equation is not factorable, so we can consider using the quadratic formula:
[tex]\displaystyle x = \frac{-b\pm\sqrt{b^2 -4ac}}{2a}[/tex]
In this case, a = 1, b = 2, and c = -16. Substitute:
[tex]\displaystyle x= \frac{-(2)\pm\sqrt{(2)^2-4(1)(-16)}}{2(1)}[/tex]
And evaluate:
[tex]\displaystyle \begin{aligned}x &= \frac{-2\pm\sqrt{68}}{2} \\ \\ &= \frac{-2\pm\sqrt{4\cdot 17}}{2} \\ \\ &= \frac{-2\pm2\sqrt{17}}{2} \\ \\ &= -1 \pm \sqrt{17} \end{aligned}[/tex]
Hence, our two solutions are:
[tex]\displaystyle x = -1 + \sqrt{17} \approx 3.1\text{ or } x = -1 - \sqrt{17} \approx -5.1[/tex]
Lengths cannot be negative, so we can ignore the second solution.
Hence, the value of x or the first side length is about 3.1 centimeters.
Since the other side length is two centimeters longer, the other side is about 5.1 centimeters.
In conclusion, the two legs of the right triangle are approximately 3.1 cm and 5.1 cm and the hypotenuse is 6 cm.
Using deductive reasoning, write the converse, inverse, and contrapositive of an if-
then statement.
Answer:
give brainliest please I need it to level up
Step-by-step explanation:
p -> q
converse
~p-> ~q
inverse
q-> p
Contrapositve
~q-> ~p
hi guys i need help with this problem ASAP! Thanksss
Answer:
56
Step-by-step explanation:
There are 8 members therefore if each other makes an exchange to one another, that would be 7 exchanges per person. 8*7= 56
[tex]\huge\mathfrak\green{ hope \: it \: helps}[/tex]
What number should be added to -4/7 to get 5/9?
9514 1404 393
Answer:
71/63
Step-by-step explanation:
Let n represent the number of interest.
-4/7 + n = 5/9 . . . . . n must be added to -4/7 to get 5/9
n = 5/9 + 4/7 = (35 +36)/63 = 71/63
The number 71/63 must be added to -4/7 to get 5/9.
2 – 3х + 5х = 16 — 8х + 8x
Answer:
2 – 3х + 5х = 16 — 8х + 8x
2 - 8x = 16
8x = 14,
x = 1.75
ayooo i need helppppp
Answer:The answer is in the attached file below
Step-by-step explanation:
Answer:
angle 7=100 ,angle 8=80
Step-by-step explanation:
For angle 7:
By using definition of alternate interior angles:
angle 4=angle 6
Subtitute values of angles:
x+2y=3y+20
x+2y-3y=20
x-y=20.......(1)
Now by using definition of alternate opposite angles:
angle 4= angle 2
angle 2=x+2y
Angle 1 and angle 2 are the angles of straight line ,there sum will be 180.
2x+y+x+2y=180
3x+3y=180
x+y=60......(2)
Add (1) and (2):
x-y=20
x+y=60
_______
2x=80
x=40
subtitute x=40 in (2):
40+y=60
y=60-40
y=20
For angle 7:
By using definition of alternate exterior angle:
angle 1=angle 7
angle 7=2x+y
subtitute x and y:
angle 7=2(40)+20
=100
For angle 8:
By using definition of alternate opposite angle:
angle 8=angle 6
angle 8= 3y+20
angle 8=3(20)+20
=80
CAN SOMEONE HELP PLEASE.GIVING 25 POINTS
Luke recorded the grade-level and instrument of everyone in the middle school
School of Rock below.
Seventh Grade Students
Eighth Grade Students
Instrument # of Students
14
Instrument # of Students
Guitar
5
Bass
9
Drums
9
Keyboard
9
Guitar
Bass
Drums
Keyboard
13
15
6
Based on these results, express the probability that an eighth grader chosen at
random will play an instrument other than bass as a fraction in simplest form.
Answer:
35/48
Step-by-step explanation:
You just want to focus on the 8th graders. Add add the total number of students together to get your denominator. Then just put what your # of bass students are and that is your probability in fraction form. ( the fraction can't be simplified smaller than it already is.)
Solve for M
-3+m/ 9 = 10
Step-by-step explanation:
-3+m/9=10
m/9=10+3
m/9=13
m=13×9
m=117
Note:if you need to ask any question please let me know.
I divide my favorite number by its reciprocal , the quotient is 10 times as large as my favorite number. My favorite number is..
A. 1/10
B. 1/5
C. 1/2
D. 10
Answer:
1/10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
x is the favorite number
x÷[tex]\frac{1}{x}[/tex] = 10x (flip the fraction and multiply)
[tex]x^{2}[/tex]=10x (divide both sides by x)
x=10
What is the solution to the equation 9(w – 4) – 7w = 5(3w - 2)?
34
Ow=-13
Ow=-2
6
Ow= 13
Ow= 26
Answer:
w=-2
Step-by-step explanation:
9(w-4)-7w=5(3w-2)
9w-36-7w=15w-10
9w-7w-15w=-10+36
-13w=26
w=-2
f(x)=|-3x+4|+5 help?
Answer:
This will plot as an upward "V" with the vertex at x = 4/3, y = 5
Step-by-step explanation:
The absolute value will mean that y can only be positive. y will be at a minimin when the absolute value is zero. To determine that find the x that makes it zero, so
-3x + 4 = 0
-3x = -4
x = 4/3
which makes y = 5 (the minimin)
I need help rounding numbers to the nearest tenth, hundredth and thousandth
Answer:
hey friend
what's your question
What is the number which when divided by 26 gives 15 as
quotient and 8 as remainder
Answer:
398
Step-by-step explanation:
multiply 15 by 26 then add 8. check answer by dividing 398 by 26 using long division, not a calculator. you will get a decimal or fraction if you do
find the square root of 169 step by step explain
Answer:
13
Step-by-step explanation:
13 x 13 = 169
Whats 2/5 as a decimal??
Answer:
0.4
Step-by-step explanation:
divide simply the given problem by using calculator
Answer:
0.4
Step-by-step explanation:
2/5 turned into a decimal is simply 0.4! Hope it helps :)
In slope-intercept form, write the equation of
the line that passes through the point (-8,2)
with a slope of
1/2
Answer:
y = 1/2x + 6
Step-by-step explanation:
y = 1/2x + b
2 = 1/2(-8) + b
2 = -4 + b
6 = b
Name each angle four ways.
Answer:
right angled triangles
if AC = 72 and BC = 32, what is the length of AB
Answer:
104
Step-by-step explanation:
solution :
AC = 72
BC = 32
AB = AC + AC
= 72+32
= 104#
Am i right ?
Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2
Find F[G(x)] - F(x).
4x + 4
4x
4x + 2
Step-by-step explanation:
F[G(x)]=2(3x+2)-1= 6x+4-1= 6x +3
F[x]=2x-1
F[G(x)] - F(x)=6x+3-(2x-1)=6x+3-2x-1
=4x+2
answer=4x+2
Answer: A
Step-by-step explanation:
[tex]F(x)=2x-1\\G(x)=3x+2\\\\F(G(x))-F(x)=F(3x+2)-(2x-1)\\\\=2*(3x+2)-1-2x+1\\\\=6x+4-2x\\\\=4x+4\\\\\\Answer\ A[/tex]
Evaluate with help of distributive property :
i. 425 x 136 ii. 4005 x 67
Answer:
1 : 57,800.
2: 268,335
Step-by-step explanation:
hope it helps you
The expressions are evaluated using distributive property below -
We have -
i. 425 x 136
ii. 4005 x 67
We have to evaluate them with help of distributive property.
State the property of distributivity of multiplication over addition.Distributive property of multiplication over addition :
a × (b + c) = a × b + a × c
According to question, we have -
i. 425 x 136
ii. 4005 x 67
Now -
425 x 136 = 425 x (6 + 30 + 100) = 425 x 6 + 425 x 30 x 425 x 100
and
4005 x 67 = 4005 x (60 + 7) = 4005 x 60 + 4005 x 7
Hence, the evaluation using distributive property is done.
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please help me............................
Answer:
B.
Step-by-step explanation:
Please answer ASAP please and thank you
Answer:
2 (15/28)
Step-by-step explanation:
[tex]5 \frac{1}{4} - 2 \frac{5}{7} \\ = \frac{21}{4} - \frac{19}{7} \\ = \frac{21\times 7}{4 \times 7} - \frac{19 \times 4}{7 \times 4} \\ = \frac{147}{28} - \frac{76}{28} \\ = \frac{(147 - 76)}{28} \\ = \frac{71}{28} \\ = 2 \frac{15}{28} [/tex]
prove bn=dn..........
Answer:
See Below.
Step-by-step explanation:
We can write a two-column proof.
Statements: Reasons:
[tex]\displaystyle 1) \text{ } N \text{ is the midpoint of } \overline{AE}[/tex] Given
[tex]\displaystyle 2) \text{ } \angle 1 \cong \angle 2[/tex] Given
[tex]\displaystyle 3) \text{ } \angle A \cong \angle E[/tex] Given
[tex]\displaystyle 4) \text{ } \overline{AN} \cong \overline{NE}[/tex] Definition of Midpoint
[tex]\displaystyle 5) \text{ } \Delta ABN \cong \Delta EDN[/tex] ASA Congruence
[tex]\displaystyle 6) \text{ } \overline{BN} \cong \overline{DN}[/tex] CPCTC
,
20. In the figure, O is the centre of the concentric circles of radii 17 cm
and 10 cm respectively. Chord AD of the larger circle cuts the smaller
circle at B and C such that AB = 9 cm. Find
(a) the distance of AD from the centre,
Answer:
I confirm my answer : 8(cm)
Step-by-step explanation:
In the triangle OAB, BO²=AB²+AO²-2*AB*AO*cos( BAC)
cos (BAC)=9²+17²-10²/(2*9*17)=15/17
AC/AO=cos(BAC) ==> AC=17*15/17=15
OC²=AO²-AC²=17²-15²=64
OC=8 (cm)
-18 divided by 9
-5x(-7)
Answer:
1) -18 divided by 9 is -2
2) -5x(-7) is 35x
Step-by-step explanation:
[tex] - 18 \div 9[/tex]
[tex] = - (18 \div 9)[/tex]
[tex] = - 2[/tex]
‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
[tex] - 5x( - 7)[/tex]
[tex] = 5x \times 7[/tex]
[tex] = 35x[/tex]
PLSLSLSLSLSL HELPPPPP
Answer:
100 ( 4 - π rad )
Jdnzjdhbdudhejdjejd
Jasper Hall sells farm chemicals. He is paid a commission of 99% of his first $6,000 in sales during the month and 14% on all sales over $6,000. What is his commission in a month in which he has sales worth $16,120?
Amount of total commission is $1,956.8 (Approx.)
Given:
Percent of commission upto $6,000 sale = 9% (Misprint)
Percent of commission over $6,000 sale = 14%
Amount of total sales = $16,120
Find:
Amount of total commission
Computation:
Amount of commission upto $6,000 sale = 6000 × 9%
Amount of commission upto $6,000 sale = $540
Amount remain = 16120 - 6000
Amount of commission upto $6,000 sale = $10,120
Amount of commission over $6,000 sale = 10,1200 × 14%
Amount of commission over $6,000 sale = $1,416.8
Amount of total commission = Amount of commission upto $6,000 sale + Amount of commission over $6,000 sale
Amount of total commission = 540 + 1,416.8
Amount of total commission = 1956.8
Amount of total commission = $1,956.8 (Approx.)
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