9514 1404 393
Answer:
q = 9
Step-by-step explanation:
The angle bisector divides the triangle sides proportionally.
q/36 = (16 -q)/28
7q = 9(16 -q) . . . . . . multiply both sides by 252 (the LCM of 28 and 36)
16q = 16(9) . . . . . . . . add 9q to both sides
q = 9 . . . . . . . . . . . . . divide by 16
_____
Additional comment
We are given the sum of the segment lengths on the far left side. The proportion is the same for the sum of sides as it is for individual sides.
(q/36) = 16/(36+28)
q/36 = 16/64 = 1/4
q = 36/4 = 9
geometry question multiple choice
Answer:
C I think
Step-by-step explanation:
sin a= opp/ hypotanuese
= 2 root 10/11
so C
if my answer helps please mark as brainliest.
GIVING BRAINIEST
Which of the following is an example of DESCEND?
A. a car traveling through a tunnel
B. a hiker climbing a mountain
C. a plane landing at the airport
D. a submarine climbing to the surface of the ocean
Answer:
D because you going up to the surface
Answer:
its c
Step-by-step explanation:
Please Help!! Brainliest Answer! Thank you!
Answer:
x=4.5
Step-by-step explanation:
The sum of all the angles in a square=360°
20(4.5)=90
90×4=360
what is the area of the triangular prism repersented by the net below?
Answer:
Step-by-step explanation:
attach an image
The price of an Item has risen to $108 today. Yesterday it was $80. Find the percentage increase.
Answer:
74%
Step-by-step explanation:
Log10 (2x + 1) - logio(3x - 2) = 1
Answer: x=3/4
Step-by-step explanation:
To solve, first express the left side as one logarithm. To do so, apply the quotient rule which is log_bM/N=log_bM-log_bN .
log((2x+1)/(3x-2))=1
Then, express the equation to its equivalent exponential form to eliminate the logarithm.
Note that the exponential form of log_b M=a is M=b^a .
Since the base of the logarithm in the given equation is not written, it indicates that its base is 10.
So re-writing the equation, it becomes:
log_10((2x+1)/(3x-2))=1
And its exponential form is:
(2x+1)/(3x-2)=10^1
(2x+1)/(3x-2)=10
Now that the equation has no more logarithm, the next step is to remove the x in the denominator.
To do so, multiply both sides by 3x-2.
(3x-2)*(2x+1)/(3x-2)=10*(3x-2)
2x+1=30x-20
Next, combine like terms.
To combine 30x and 2x, bring them together on one side of the equation. So, move 2x to the right side by subtracting both sides by 2x.
2x-2x+1=30x-2x-20
1=28x-20
To combine 20 and 1, bring them together on the side opposite the term with x. So, add both sides by 20.
1+20=28x-20+20
21=28x
And, divide both sides by 28 to have x only at the right side.
21/28=(28x)/28
3/4=x
Hence, the solution to the given equation is x=3/4 .
Draw a line say ab take point c out of it through c draw a line parellel to ab using compass and ruler only
Answer:
give me brainliest
Given a line AB with Point C outside it.
Mark point D on the line AB. Join CD
With D as center, and any radius, draw an arc intersecting AB at E, and CD at F.
With C as center, and same radius as before, draw an arc intersecting CD at G.
Open a compass to length EF
Now,with G as center, and compass opened the same radius as before, draw an arc intersecting the previous arc at H.
Draw a line m passing through C and H.
Thus m is the line parallel to AB, and passing through point C
∴m∣∣AB
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
55 lbs of $0.40 and 45 lbs of $1.40
Step-by-step explanation:
Let's say that we have two buckets, one that weighs x pounds and the candies in it are $0.40 per pound and another that weighs 100-x pounds (because we know the two added together must be 100 pounds) and the candies in it are $1.40 per pound.
There is a third bucket that is made when you combine the two, it weighs 100 pounds and the candies in it are $0.85. Multiply the cents per pound by the pounds of the candy for each bucket and you get this equation:
0.4 * x + 1.4 (100-x) = 0.85 * 100
Solve!
0.4x + 140 - 1.4x = 85
-x + 140 = 85
-x = -55
x = 55
From this we get that 100 - x = 45.
So, the answer is 55 lbs of $0.40 and 45 lbs of $1.40
john uses a small card and a large card that are similar in size in his magic show. what is the area if the small card?
Answer:42.7in^2
that what answer i am sure of
Calculate the PERIODIC interest rate for a $10,000 loan
compounded semi-annually at a rate of 14%.
Question 16
A line has a slope that is undefined Which of the following points could this line pass through?
А
(6, 4) and (4,-5)
B
(8,5) and (8,-5)
С
(2,3) and (4,3)
D
(-7,1) and (7,6)
Answer:
b hope it help
Step-by-step explanation:
The diagram shows a wedge ABCDEF.
The base of the wedge is a horizontal rectangle measuring 60cm x 40cm
9514 1404 393
Answer:
77.3 cm
Step-by-step explanation:
The distance FA is the diagonal of rectangle ABFE. We know the length AB, so we need to find the length BF. That is found using the trig relation ...
cos(25°) = BC/BF
BF = BC/cos(25°) ≈ (60 cm)/0.906308 ≈ 66.203 cm
Then the diagonal length FA is found using the Pythagorean theorem:
FA = √(AB² +BF²)
FA = √(40² +66.203²) ≈ √5982.79 ≈ 77.349 . . . cm
The diagonal length FA is about 77.3 cm.
PLS HELP!!!! I dont understand this.
Answer:
a) 3m + m
b) 2m + 2m
Answer:
Step-by-step explanation:
a) 3m + m
b) 2m + 2m
Find the value of f(-8).
9514 1404 393
Answer:
8
Step-by-step explanation:
F(-8) is found by locating x = -8 on the x-axis, then determining the y-coordinate the graph has at that point.
f(-8) = 8
About 0.6 of all the students in the fifth grade are girls. If the fifth grade has 85 students, how many of the students are girls?
Answer:
51 girls
Step-by-step explanation:
85 represents the total amount of students in 5th grade, including boys and girls.
0.6 or 60% of the 85 students in 5th grade are girls.
0.6 x 85 = 51
Therefore, there are 51 girls out of the 85 students in 5th grade.
Plz help ill give u brainliest I tried but cant answer pls help
Answer:
the fraction is already in its simplest form
What is the area of the square given the side length 20.5in
Answer: 420.25in^2
Step-by-step explanation:
Area of Square = s^2
20.5^2 = 420.25
Forty out of 50 people surveyed in a small towns' coffee shop are
planning on voting in the next election. If there are 400 people in the
town, how many people do you predict will vote in the next election? *
The cost of levelling a rectangular field at
50 per square metre is 30,000. If its length
and breadth are in the ratio of 3: 2, then find
its perimeter. pls help
Answer:
The perimeter of a rectangular field is 100 meters
Step-by-step explanation:
The given data of the rectangular field are;
The unit cost of levelling the rectangular field, U[tex]_c[/tex] = 50/m²
The total cost of levelling the field, T[tex]_c[/tex] = 30,000
The length to breadth ratio of the field, L:B = 3:2
Where;
L = The length of the field
B= The breadth of the field
From the given data of the field, we have;
The area of the field, A = T[tex]_c[/tex]/U[tex]_c[/tex]
∴ A = 30,000/(50/m²) = 600 m²
The area of the field, A = 600 m²
The formula for the area of a rectangle, A = Length, L × Breadth, B
A = L × B
We are given that the length to breadth ratio of the field, L:B = 3:2
∴ L/B = 3/2
L = (3/2) × B
The area of the rectangular field, A = L × B
∴ The area of the rectangular field, A = (3/2) × B × B = (3/2) × B²
A = (3/2) × B²
From the calculation for the cost of levelling the field, we have, A = 600 m²
∴ A = (3/2) × B²
A = 600 m²
By transitive property, we have;
(3/2) × B² = 600 m²
B² = (2/3) × 600 m² = 400 m²
B = √(400 m²) = 20 m
The breadth of the field, B = 20 m
From L = (3/2) × B, we have;
L = (3/2) × B
∴ L = (3/2) × 20 m = 30 m
∴ The length of the field, L = 30 m
The perimeter, 'P', of a rectangle given the length, 'L' and breadth, 'B', is given as follows;
The perimeter of a rectangle, P = 2·L + 2·B
Therefore, for the rectangular field, we have;
P = 2 × 30 m + 2 × 20 m = 60 m + 40 m = 100 m
The perimeter of a rectangular field, P = 100 m.
20 points!!!! Given the regular hexagon, find the measure of each numbered angle.
m21 = 30°, m2 2 = 60°, m 23 = 30°
m2 1 =m22=m3 = 60°
m21 = 60°, m 2 2 = 30°, m 23= 60°
m 21 = 60°, m 22= 30°, m 23 = 30°
Answer:
C, m angle 1 = 60°, m angle 2 = 30°, m angle 3= 60°
Step-by-step explanation:
Each of the 6 triangles in the hexagon are equilateral, meaning that each angle is 60 degrees (180 degrees in a triangle / 3).
3. Larry randomly surveyed students in his school as to what the new school mascot should be. The results are shown in the table below.
(a) Which survey might be biased? Explain your answer.
(b) Which mascot seems to be the winner? Why do you think that?
(c) Using only information from the unbiased survey, approximately what percent of students choose Wildcats for the new mascot?
(d) If there was 800 students in Larry’s school, approximately how many students in the school could he claim would vote for Mustangs? Round to the nearest whole number if necessary.
250/36 =
250 divided by 36 =
ots shjshdhusksjbsu8osjd
Answer:
0.144
Step-by-step explanation:
[tex] \sqrt[250]{36} [/tex]
For the rhombus below, find the measure of 1, 2, 3, and 4.
Answer:
Angle 1 is 51, Angle 2 is 51, Angle 3 equal 39, Angle 4 is 51
Step-by-step explanation:
A rhombus diagonals are perpendicular so all the angles in the middle of the rhombus measure is 90 degrees. So this means we are dealing with 4 right congruent triangles.
Since a rhombus is a paralleogram, it opposite sides are parallel. Since there is a line that it cuts through the parallel line, Angle 3 and 39 are alternate interior angles.
Alt. interior angles are congruent so Angle 3=39.
In the upper left triangle, angle 3 ,angle 4, and the middle angle form 180 degrees since it a triangle. The middle angle measure 90 degrees. so we can find angle 4.
[tex]39 + 90 + x = 180[/tex]
[tex]129 + x = 180[/tex]
[tex]x = 51[/tex]
so angle 4=51.
Angle 4 and Angle 1 are alt. interior angles so that means Angle 1 also equal 51.
Rhombus also has angle bisectors to angle 1=angle 2.
Angle 2=51.
Please help me will give Brain
Step-by-step explanation:
y=42
x=90
Since the triangle has the hypotenuse as the diameter of the circle, the angle opposite the hypotenuse which is x is equal to 90 degrees.
Whenever there is a triangle with the corner of the triangle touching the side of the triangle, the distance between the two legs of the triangle on the circle is 2 times the angle of the corner that is touching. So 21(2)=42
Hope this helps :)
please help i need the answer asap :) !!
Answer:
6^(2/3)
Step-by-step explanation:
exponent fraction rule
Answer:
the first one, 6^2/3
Step-by-step explanation:
Can anyone help me choose the correct answer?!
Answer:
f(x)=9x-7
when x=-1
f(-1)=9×-1-7=-9-7=-16
when x=0
f(0)=9×0-7=-7
other are similar to this
At noon on Monday, the temperature was 20° Fahrenheit. The formula for converting temperatures in Fahrenheit (F) to temperatures in Celsius (C) F - C + 32
What was the approximate temperature in Celsius at noon on Monday?
-21
-7
29
52
A computer can be bought on Hire
Purchase with a down-payment of
$ 1600 and 12 monthly installments of $ 500. If the cash price on the computer is $ 5600, how much more than the cash price is the Hire Purchase price?
A) $60
B) $760
C) $1600
D) $2000
1. Use the distributive property to write an expression that is equivalent to 12+4x.
Covert this repeating decimal into a fraction ANSWER CHOICES 4936/990, 530/900,674/990,8099/990