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A triangular garden is to be split so that the angle at vertex B is bisected. This diagram was supplied by the landscape architect, but you do not have a way to measure the angles at B. You do have the given side lengths, so what is the length of side AD that will allow the angle at B to be bisected?
A.
5 m
B.
4 m
C.
2 m
D.
3 m
The length of side AD that will allow the angle at B to be bisected is 3m, the correct option is D.
What is Angle Bisector Theorem?According to the angle bisector theorem, the angle bisector of an angle of a triangle bisects the opposite side into two parts that are proportional to the other two sides.
The sides of the triangle are 5,7 and (x+4) m.
The BD will be the angle bisector of angle B only if
x/4 = 5/7
x = 5 *4 / 7
x = 20/7 = 2.85 ≈ 3m
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In the first week of July, a record people went to the local swimming pool. In the second week, fewer people went to the pool than in the first week. In the third week, more people went to the pool than in the second week. In the fourth week, fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
Answer:
10%
Step-by-step explanation:
A school allots £3000 to spend on a trip to the theatre.
Theatre tickets have a regular cost of £45 each and are on offer for off.
A train ticket for the day will cost £20 each
If 3 teachers and the maximum number of students attend, how many students go on the trip?
Answer:
32
Step-by-step explanation:
3/4 in simplest form WILL GIVE BRANLYEST!!!
Answer:
3/4 is in it's simplest form
Step-by-step explanation:
3/4 cannot be simplified any more, so it is at it's simplest form
John has quarters, nickels, and dimes. He has 4 more nickels than quarters and twice as many dimes than nickels. If he had $6.00, how many quarters does he have?
Show your work in the are below.
Make sure you define the variable. Start with "Let x be..."
Answer:
Let the no of quarters be x
According to given,
x + (x+4) + (x+4)/2 = 6
x + (x+4) + (x + 8)/2 = 6
x + x + 4 + (x + 8)/2 = 6
[2 (2x + 4) + (x + 2)]/2 = 6
4x + 8 + x + 2 = 6 × 2
5x + 10 = 12
5x = 12 - 10
5x = 2
x = 2/5
•°• x = 0.4
1 doller = 4 quarter
0.4 doller = p
p = 0.4 × 4 = 1.6
•°• There are 1.6 quarter.
ATQ
[tex]\\ \sf\longmapsto x+x+4+2(x+4)=6[/tex]
[tex]\\ \sf\longmapsto 2x+4+2x+8=6[/tex]
[tex]\\ \sf\longmapsto 4x+12=6[/tex]
[tex]\\ \sf\longmapsto 4x=-6[/tex]
[tex]\\ \sf\longmapsto x=-3/2[/tex]
[tex]\\ \sf\longmapsto x=|-1.5|[/tex]
[tex]\\ \sf\longmapsto x=1.5[/tex]
Raven was a writing a story. She was trying to figure out how long it would take for her to write it. If she can ride 2 2/3 pages in one hour, how many pages will she have written after 2 1/2 hours? who is correct?
Answer:
She would have written 6 2/3 pages.
Step-by-step explanation:
2 2/3 pages = 1 hour
6 2/3 pages = 2 1/2 hours
What point located in quadrant IV has an x-value that is 3 units from the origin and a y-value that is 4 units from the origin?
Eight times a number increased by 4 times the number is less than 36. What is the number? . logo thon 13 then find the
Answer:
36
Step-by-step explanation:
First, you subtract 4 by 36 which is 32. Then, divide 32 by 8 which equals 4 therefore the answer is 36.
A recipe for apple crisp uses 4 parts oats,8 parts brown sugar,and 10 parts flour. In simplest form,how many parts of brown sugar are there for every part of flour?
Answer:
8:10
Step-by-step explanation:
8 parts for brown sugar and 10 parts flour.
In simplest, 4:5 (divide 8 and 10 by 2)
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Step-by-step explanation:
complementary angles mean that together they have 90°.
that means that sin(A) = cos(C) and vice versa.
so, the values are the same
cos(C) =24/25
sin(A) = 20/29
Is mLBAF = mLCEF? Explain.
Than you
[tex]\huge \bf༆ Answer ༄[/tex]
The Angles BAF and CEF are equal to one another, because they form pair of Alternate Interior Angles ~
So, the Correct choice is ~
Yes, They are Alternate interior Angles[tex]꧁ \large \sf{itz0kaul } \: ꧂[/tex]
4. A safe slope for a ladder is 1 ft of run for every 4 ft of rise. Vincent needs to use a
ladder to reach a window sill that is 22 ft above the ground. How far from the house
should the base of the ladder be?
Answer:
5.5 ft
Step-by-step explanation:
because its 4ft for every 1ft there's a ratio of 1:4 so 22 represents the 4 part of the ratio, hence 22 divided by 4 gives us 5.5 on the base
An equilateral triangle of side 20cm is inscribed in a circle. calculate the distance of a side of the triangle from the centre of a circle.
Answer:
5.76 cm
Step-by-step explanation:
When we have an equilateral triangle, we can deduce that radius of inscribed circle is ,
R = side * sqrt (3) / 6
Here, side is 20 cm.
And distance from center of inscribed circle to side of triangle is nothing but radius of inscribed circle.
So, R = 20 * sqrt (3) / 6 = 20 * 1.73 / 6 = 5.76 cm
Can some one help? This is sooooooo hard
Answer:
median is a hight of a triangle
A store manager is marking down microscopes from $1,000 to $620. What is the discount, as
a percentage?
What is the ninth term of the arithmetic sequence defined by the rule below?
A(n) = -15 + 2(n – 1).
A. 1
B. -1
C. 31
D. -31
Answer:
A
Step-by-step explanation:
Substitute n = 9 into the nth term rule
A(9) = - 15 + 2(9 - 1) = - 15 + 2(8) = - 15 + 16 = 1 → A
can anyone give definition of liner expression
need it ASAP
Answer:
The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line
Step-by-step explanation:
u single?
List the angles of the triangle in order from least to greatest.
Answer:
3rd option
Step-by-step explanation:
The angle opposite the shortest side is the smallest
The angle opposite the longest side is the largest
Shortest side is AC with ∠ B opposite , thus smallest
Longest side is AB with ∠ C opposite, thus largest
Then order of angles from least to greatest is
∠ B , ∠ A , ∠ C
Solve the system by graphing.
Y=2x+10
y=x+6
First graph each line, then place a dot on the point that represents the solution to the system
Answer:
(-4,2)
Step-by-step explanation:
See attachment
Find the value of x. 130 Х
Answer:
60
Step-by-step explanation:
edge
[tex]\sf 3(5x+4)[/tex]
[tex]\boxed{\sf Have \: a \: nice\: day!}[/tex]
Answer:
[tex]3(5x + 4) = 3 \times 5x + 3 \times 4 \\ = 15x + 12 [/tex]
Answer:
15x+12
Step-by-step explanation:multiply 5x + 4 by 3 hence answer is 15x +12
Answer these also with standard pls
a. Slope 2 and y-intercept 3
Slope-intercept form: [tex]\bold{y=2x+3}[/tex]
Standard form: [tex]\bold{2x-y=-3}[/tex]
b. Slope [tex]\frac{3}{5}[/tex] and y-intercept -6
Slope-intercept form: [tex]\bold{y=\frac{3}{5}x-6}[/tex]
Standard form: [tex]\bold{3x-5y=30}[/tex]
c. Slope [tex]-\frac{3}{2}[/tex] and y-intercept 9
Slope-intercept form: [tex]\bold{y=-\frac{3}{2}x+9}[/tex]
Standard form: [tex]\bold{3x+2y=18}[/tex]
d. Slope -3 and y-intercept 0
Slope-intercept form: [tex]\bold{y=-3x}[/tex]
Standard form: [tex]\bold{3x+y=0}[/tex]
Functions f (solid) and g (dashed) are graphed.
What is the equation of g in terms of f?
A. G(x)=f(x)
B. g(x)=-f(x)
C. g(x)=f(-x)
D. g(x)=-f(-x)
Latoya took a taxi home from her best
friends house. The taxi charged an initial
fee of $3 plus an additional $1.75 per mile.
write an expression that represents the
amount of money Latoya will spend on
the taxi after traveling x amount of
hours.
Answer:
y=1.75x+3
Step-by-step explanation:
Using slope-intercept form, we can use our initial value of 3, plus our 1.75 per mile, or x, since miles are calculated per hour
Answer:
y=1.75x+3
Step-by-step explanation:
Do you mean x amount of miles? if you do, you would add 3 because 3 is the amount of money that you have to pay no matter how far you go. You would get 1.75x because the number of miles you travel in the taxi, you would have to multiply that number by 1.75 to get the amount of money you would have to pay in addition to the 3 dollars that you would definitely have to pay.
During British History from 1550-1650. What was going on in Britain during the time just before, during and just after Shakespeare lived? Who were the rulers? What was the political atmosphere? What were the people concerned about? How did the people live?
Answer:
What was going on in Britain during the time just before Shakespeare lived?
Elizabeth had settled the religious question by establishing the Church of England as the official religion of the country, insisting on church services in English, the English Bible and prayer book in churches etc, but not going as far in extreme Protestantism as, for instance, the Puritans would have liked her to do.
Step-by-step explanation:
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The period from 1550-1650 in British history was a time of significant political, social, and cultural change.
What is British History?England, which had absorbed Wales under Henry VIII in the 16th century, merged with Scotland in 1707 to form a new sovereign state known as Great Britain.
Here are some key events and factors that were happening during the time just before, during, and just after Shakespeare lived:
Queen Elizabeth I reigned as Queen of England from 1558 until her death in 1603.Religious strife: The 16th century in England saw religious strife, with tensions between Catholics and Protestants leading to violence and persecution.Political unrest: Throughout the 17th century, England experienced a number of political conflicts and upheavals, including the English Civil War between royalists and parliamentarians.Economic changes: Significant changes occurred in the English economy during the 16th and 17th centuries, including the expansion of international trade and the rise of capitalism.Early modern England's daily life was marked by significant social stratification and inequality.Thus, the period from 1550-1650 was a time of significant change and upheaval in England, with political, religious, and economic developments shaping the lives of its people.
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What kind of slope does the graph have?
It has a positive slope.
when it starts at the bottom left like that and goes up it is positive. :)
7/8 minus1/4 minus 1/2
7/8 minus1/4 minus 1/2
7/8 - 1/4 - 1/2 =
(1 × 7)/(1 × 8) - (2 × 1)/(2 × 4) - (4 × 1)/(4 × 2) =
7/8 - 2/8 - 4/8 =
(7 - 2 - 4)/8 =
1/8
the answer is 1/8
At the gym, Hillary swims every 6 days and runs every 4 days. If she did both activities today, in how many days will she do both activities again on the same day?"
Answer:
we know that
Hillary
swims every 6 days---> Multiples of 6---> 6-12-18-24-30-36-42-48-54
runs every 4 days-----> Multiples of 4----> 4-8-12-16-20-24-28-32-36-40-44-48
cycles every 16 days---> Multiples of 16---> 16-32-48-64
therefore
In 48 days she will do all three on the same day.
the answer is
48 days
Step-by-step explanation:
Alice bought 4 apples and 8 bananas for $4. Betty bought 6 apples and 10 bananas for $5.50
each fruit cost?
Answer:
Apples cost 50 cents and bananas 25 cents.
please mark brainliest if this helped
Step-by-step explanation:
1) Assign variable (x,y) to apples and bananas.
x=apples
y=bananas
2) Write system of equations for Alice and Betty.
Alice: 4x+8y=4
Betty: 6x+10y=5.5
3) Use substitution, elimination, or graphing to solve for x and y.
x=0.5
y=0.25
ABC is an isosceles triangle, with ZA being the vertex angle.
If m
i need help asap
Answer:
mC=mA - base angles of an isosceles triangle
mA=68