Answer: 1/2 and 8
Step-by-step explanation:
Factor out a 1/2
1/2(a - 8)
allel...
10. If the midpoints of the sides of AEFG shown below were connected with line segments, what would be the
perimeter of the resulting triangle? Explain how you arrived at your answer.
allel...
E
arall...
of a T...
170 mm
83 mm
110 mm
Answer:
Perimeter of triangle PQR = 181.5 mm
Step-by-step explanation:
Midsegment theorem states that,
"Midsegment connecting the midpoints of the two sides of a triangle is parallel and half of the length of the third side"
From the figure attached,
PQ = [tex]\frac{1}{2}(EF)[/tex]
= [tex]\frac{83}{2}[/tex]
= 41.5 mm
PR = [tex]\frac{1}{2}(GF)[/tex]
= [tex]\frac{110}{2}[/tex]
= 55 mm
QR = [tex]\frac{1}{2}(GE)[/tex]
= [tex]\frac{170}{2}[/tex]
= 85 mm
Perimeter of triangle PQR = PQ + QR + PR
= 41.5 + 55 + 85
= 181.5 mm
Calculate the size of angle x.
Give your answer to 1 decimal place.
8 cm
11 cm
15 cm
Answer:
45.6° (1 d.p)
Step-by-step explanation:
Using the cosine rule;
c = √( a² + b² - 2ab Cosx)
11 =√(8² + 15² - 2 (8) (15) Cosx)
11² = 8² + 15² - 240 Cosx
11² - 8² - 15² = - 240 Cosx
-168 = -240 cosx
cosx = 0.7
x = cos⁻¹ (0.7) = 45.57 ≈ 45.6°
Answer:
45.6
Step-by-step explanation:
One of the roots of equation x^(2)-(3p-4)x+11p-5=0 is 8. Find the other root. Find the value of p.
Answer:
Other root is 9 and p = 7.
Step-by-step explanation:
x^(2) - (3p-4)x + 11p-5 = 0 , x = 8.
Let the other root be A, then using the formula for the product and sum of the roots of a quadratic equation:
8* A = 11p - 5
8 + A = -(-(3p - 4))
8 + A = -(-3p + 4)
8 + A = 3p - 4
A = 3p - 12.
Multiply this last equation by 8:
8A = 24p - 96
Now subtract the first equation from this:
8A - 8A = 24p - 11p - 96- (-5)
0 = 13p - 91
13p - 91 = 0
p = 91/13 = 7
and A = 3(7) - 12
= 9.
Answer:
Other root 9, p is 7
Step-by-step explanation:
Angela starts a blog about wheelchair basketball. In the first 4 days,
the blog gets 22 new subscribers. At this rate, how many new
subscribers can Angela expect in 30 days? Show your work.
HELP ME ANSWER THIS PLEASEE!
Answer:
no solution
Step-by-step explanation:
Answer:
wala po akong alamwrbdjdbee
Solve for x. Leave in
simplest radical form.
(special right triangle)
Answer:
4
Step-by-step explanation:
the answer is 4
x=2 and the hypotonouse is equal to 2x
tan 2A + sin 2A=4 tan A/(1 - tan4 A)
Answer:
[tex]when \: \\ \tan(2x) = \frac{2 \tan(x) }{1 - {( \tan(x)) }^{2} } \: \: and \\ \sin(2x) = \frac{2 \tan(x) }{1 + {( \tan(x)) }^{2} } \\ then \\ \sin(2x) + \tan(2x) = \frac{2 \tan(x) }{1 - {( \tan(x)) }^{2} } + \frac{2 \tan(x) }{1 + {( \tan(x)) }^{2} } \\ = \frac{2 \tan(x)(1 + {( \tan(x)) }^{2} + 2 \tan(x) (1 - {( \tan(x)) }^{2} }{(1 + {( \ \tan(x)) }^{2}(1 - {( \tan(x)) }^{2} } \\ = \frac{2 \tan(x) \times 2 }{1 - {( \tan(x) }^{4} } \\ = \frac{4 \tan(x) }{1 - {( \tan( \times ) )}^{4} } [/tex]
Step-by-step explanation:
If you need any explanation. I can do it, my friend. you can communicate with me to that or any thing do you need in math
What is the arc measure, in degrees, of major arc \stackrel{\large{\frown}}{ADC} ADC ⌢ A, D, C, start superscript, \frown, end superscript on circle PPP below?
Answer:
[tex]\stackrel{\large{\frown}}{ADC} = 186^{\circ}[/tex]
Step-by-step explanation:
Given
See attachment
Required
Determine the measure of [tex]\stackrel{\large{\frown}}{ADC}[/tex]
[tex]The\ sum\ of\ angles\ in\ a\ circle\ is[/tex] [tex]360^{\circ}[/tex].
So, we have:
[tex]\stackrel{\large{\frown}}{ADC} + \stackrel{\large{\frown}}{APB} + \stackrel{\large{\frown}}{BPC} = 360^{\circ}[/tex]
Where:
[tex]\stackrel{\large{\frown}}{APB} = 70^{\circ}[/tex]
[tex]\stackrel{\large{\frown}}{BPC} = 104^{\circ}[/tex]
Substitute these values in the above equation.
[tex]\stackrel{\large{\frown}}{ADC} + 70^{\circ} +104^{\circ} = 360^{\circ}[/tex]
[tex]\stackrel{\large{\frown}}{ADC} + 174^{\circ} = 360^{\circ}[/tex]
Collect Like Terms:
[tex]\stackrel{\large{\frown}}{ADC} = 360^{\circ} - 174^{\circ}[/tex]
[tex]\stackrel{\large{\frown}}{ADC} = 186^{\circ}[/tex]
Answer:
186 is correct on khan academn=y
Is (1, 10) a solution to this system of inequalities?
y < x + 10
y < 8x + 7
Describe the pattern. Draw what might be the next three figures in the pattern
Answer:
i dont know lol
Step-by-step explanation:
explain how to solve 6 - 2x = 3
Need help on this please help
do 20 x 3.14 and then youll have your anwser...id use a calculator btw
Then round it to the nearest whole number and BOOM anwser!!
i got 62.8 so round that and youll have ur anwser
Learning Task 3
A. Write each sentence as:
(a) Conditional Statement
(c) Inverse Statement
(b) Converse Statement
(d) Contrapositive Statement
1. Vegetables are good for your health.
2. 3x + 8 = 14, x = 2
3. A right triangle has a 90° angle.
4. An eagle is a bird.
5. A whale is a mammal.
6. Two circle with equal diameters are congruent.
7. An angle that measures between 90 and 180 degrees is obtuse
angle.
8. Two planes with no common point are parallel.
9. Carrot is rich in Vitamin A.
10. All reptiles have scales.
B. Determine which statements in A both the conditional and converse
statements are true. Write it in biconditional statement.
IF WHO ANSWER THIS CORRECTLY I WILL TRANSFER MY 500+POINTS TO HER/HIM AND BRAINLIEST ANSWER don't try to answer rude i will bann it
Answer:
A)
1.
Statement is - Vegetables are good for your health.
Let P - There are Vegetables , Q - they are good for health
Conditional statement is -If there are Vegetables , then they are good for the health.
Inverse Statement is - If there are no Vegetables, then they are not good for health.
Converse statement - If they are good for health , then they are vegetables.
Contra-positive statement - If they are not good for health , then they are not vegetables.
2.
Statement is - 3x + 8 = 14, x = 2
Let P - 3x + 8 = 14 , Q - x = 2
Conditional statement is -If 3x + 8 = 14 , then x = 2.
Inverse Statement is - If 3x + 8 ≠ 14 , then x ≠ 2.
Converse statement - If x = 2 , then 3x + 8 = 14
Contra-positive statement - If x ≠ 2 , then 3x + 8 ≠ 14
3.
Statement is - A right triangle has a 90° angle.
Let P - Triangle has a 90° angle , Q - It is right triangle .
Conditional statement is -If Triangle has a 90° angle , then It is right triangle.
Inverse Statement is - If Triangle has not a 90° angle , then It is not right triangle.
Converse statement - If It is right triangle , then Triangle has a 90° angle.
Contra-positive statement - If It is not a right triangle , then Triangle has not a 90° angle.
4.
Statement is - An eagle is a bird .
Let P - It is an eagle , Q - It is a bird
Conditional Statement - If it is an eagle , then it is a bird.
Inverse statement - If it is not eagle , then it is not bird.
Converse statement - If it is a bird , then it is an eagle.
Contra-positive statement - If it is not a bird , then it is not an eagle.
5.
Statement is - A whale is a mammal
Let P - It is a whale , Q - It is a mammal
Conditional Statement - If it is a whale , then it is a mammal.
Inverse statement - If it is not whale , then it is not mammal.
Converse statement - If it is a mammal , then it is a whale.
Contra-positive statement - If it is not a mammal , then it is not a whale.
6.
Statement is - Two circle with equal diameters are congruent
Let P - Two circles have equal diameters , Q - They are congruent
Conditional Statement - If Two circles have equal diameters , then they are congruent.
Inverse statement - If two circles have not equal diameters , then they are not congruent.
Converse statement - If two circles are congruent , then they have equal diameters.
Contra-positive statement - If two circles are not congruent , then they have not equal diameters.
7.
Statement is - An angle that measures between 90 and 180 degrees is obtuse angle
Let P - An angle that measures between 90 and 180 degrees , Q - They are obtuse angle.
Conditional Statement - If An angle that measures between 90 and 180 degrees , then they are obtuse angle.
Inverse statement - If An angle that does not measures between 90 and 180 degrees , then they are not obtuse angle.
Converse statement - If an angle is obtuse angle , then that angle measures between 90 and 180 degrees.
Contra-positive statement - If an angle is not an obtuse angle , then that angle does not measures between 90 and 180 degrees.
8.
Statement is - Two planes with no common point are parallel.
Let P - Two planes have no common point , Q - they are parallel.
Conditional Statement - If Two planes have no common point , then they are parallel.
Inverse statement - If two planes have common point , then they are not parallel.
Converse statement - If two planes are parallel, then they have no common point.
Contra-positive statement - If two planes are not parallel, then they have common point.
9.
Statement is - Carrot is rich in Vitamin A.
Let P - There are carrots , Q - they are rich in Vitamin A
Conditional statement is -If There are carrots , then they are rich in Vitamin A.
Inverse Statement is - If there are no carrots , then they are not rich in Vitamin A.
Converse statement - If they are rich in Vitamin A , then they are carrots
Contra-positive statement - If they are not rich in Vitamin A , then they are not carrots.
10.
Statement is - All reptiles have scales.
Let P - All are reptiles , Q - they all have scales.
Conditional statement - If all are reptiles , then they all have scales.
Inverse statement - If all are not reptiles , they have no scales.
Converse statement - If all have scales , then all are reptiles.
Contra-positive statement - If all have no scales , then they all are not reptiles.
B)
1. Both the conditional and converse statements are true.
Bi-conditional statement - There are vegetables if and only if they are good in health.
3. Both the conditional and converse statements are true.
Bi-conditional statement - A triangle has a 90° angle if and only if it is a right triangle.
6. Both the conditional and converse statements are true.
Bi-conditional statement - Two circle are equal diameter if and only if they are congruent.
7. Both the conditional and converse statements are true.
Bi-conditional statement - An angle that measures between 90 and 180 degrees if and only if it is an obtuse angle.
8. Both the conditional and converse statements are true.
Bi-conditional statement - Two planes has no common point if and only if they are parallel.
A 228 foot cable is attached to a 43 foot tower. What
angle would the cable make with the ground?
Write a paragrahs about right of citizen.
Answer:
yo look up essay typer.....it helps
What is the variable number in the equation 6=4+2s
Answer:
I believe it is 2s
Step-by-step explanation:
a variable is a symbol which functions as a placeholder, so in this case, the placeholder is "s"
5x + 6 = 5x - 4 does it have an unique solution
Answer:
No, it does not.
Step-by-step explanation:
As if we attempted to solve for x, 5x & 5x will both cross each other out. There are no values of x that make the equation true.
write the indicated trig ratio as a fraction
Sin K =
please help me answer this math problem
Answer:
The answer is AAS.
Step-by-step explanation:
Since you have 2 angles that are the same and 1 side which are the same or congruent.
A = E
and C=C they are vertical angles so they are the same
And the AB and ED side are also same.
Two sides of a rectangle are both 4 inches. If the
perimeter is 30 inches, write and solve a two-step
equation to find the missing lengths. Help
Answer: 2(4)+2b=30 /missing lenght=11
Step-by-step explanation: We know the equation of a rectangle is 2a+2b=perimeter "a" and "b" both represent a side length
2(4)+2b=30 <--- Plug in the know side lenght
8+2b=30
8(-8)+2b=30(-8) <--- Subtract "8" from both sides to further solve
2b=22
2b/2=22/2 <--- Divide each side by "2"
b=11
What is the volume, in cubic inches, of one cube with an edge length of inch?
Answer:
We know that each cube with a -inch edge length has a volume of cubic inch, because . Since the prism is built using 24 of these cubes, its volume, in cubic inches, would then be , or 3 cubic inches.
Step-by-step explanation:
PLS IT FOR MY ECONOMICS CLASS
Answer:
7. Hourly wage: 10 hr 2, 20 : 4, 40: 6, 60: 8, 80: 10, 100: 12, 120: 14, 140: 16, 160: 18, 180: 20, 200It should just be a negative slopei need help like need it pls help
In terms of the water lily population change, the value 3.915 represents:
Answer:
he initial number of water lily’s :the value 1.106 represents the population increase rateedge
Step-by-step explanation:
The value 3.915 represents the initial population in the exponential equation of water lilies.
What are exponential functions?When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function.
There usual form is specified below. They are written in several such equivalent forms.
The standard exponential equation is given as; y = ab^x
where;a is the initial population b is the rate (growth or decline)
We have been Given the exponential equation; y = 3.915(1.106^x)
On comparison, we can see that,
a = 3. 915
Hence, This shows that the value 3.915 represents the initial population of water lilies.
Learn more on exponential equation here:
brainly.com/question/2456547
#SPJ2
can you help me please
Answer:
x = 2
Explanation:
according to BPT theorem,
BD BE
---- = ----
DA EC
6 x+1
--- = ----
4 x
6x = 4x +4 ( cross multiplication)
transposing,
6x -4x=4
2x= 4
x= 2
hence x=2
BE = x+1 =2+1 =3
EC = x =2
Pls help
(Show your work pls!)
1. Solve for w
21+2w=p
2. Solve for a
2a+b=c
3. Solve for a
b-2a=c
1.
Step 1: Flip the equation.
p=2w+21
Answer:
p=2w+21
2.
Step 1: Add -b to both sides.
Step 2: Divide both sides by 2.
Answer:
a= −1 /2b+1/2 c
3.
Step 1: Add 2a to both sides.
−2a+b+2a=c+2a
b=2a+c
Answer:
b=2a+c
Which table represents a nonlinear function?
X 1
2 3 4
5
6
A
y 3 6 9 12 15 18
X 2 4 6
00
10 12
B
y 4 7 10 13 16 19
X -2 -1 0 1
2 3
C
у
4 2 1 1.5 0.5
Answer:
3 ONE
IS IT RIGHT
A sweater was discounted by 36%. The amount if the discount was $27. What was the cost of the sweater?
Answer:
The cost of the sweater would be $17.28
omggggggggg please please help meeeeeeeeee
Answer:
9
Step-by-step explanation:
9-7= 2
2<3
Answer: B
x < 10
Step-by-step explanation:
X - 7 < 3
X < 3 + 7
X < 10
Circle O is shown. Secant A C intersects tangent C D at point C outside of the circle. Secant A C intersects circle O at point B and tangent C D intersects circle O at point D. Point E is on arc A D. Angle A C D is 57 degrees.
Aaron is standing at point C, watching his friends on a Ferris wheel. He knows that he is looking up at a 57° angle and the measure of arc BD is 80°. What is the measure of arc AED?
°
That would be 194 my friend!
Answer:
194
Step-by-step explanation: