Answer:
A. 5
Step-by-step explanation:
PQ + QR + RS = PS
2x - 6 + 1 + x - 4 = 18
3x - 9 = 18
3x = 27
x = 9
RS = x - 4
RS = 9 - 4
RS = 5
Write each as a percent. Use proportions.
7/25
2/3
3/8
Apply the distributive property to create an equivalent expression.
\dfrac15(15+10k) =
5
1
(15+10k)=start fraction, 1, divided by, 5, end fraction, left parenthesis, 15, plus, 10, k, right parenthesis, equals
Answer:
3 + 2k
Step-by-step explanation:
Given:
1/5(15 + 10k)
= (1/5 * 15) + (1/5 * 10k)
= (1 * 15)/5 + (1 * 10k)/5
= 15/5 + 10k/5
= 3 + 2k
Therefore,
1/5(15 + 10k) = 3 + 2k
The equivalent expression is 3 + 2k
Which equation, when graphed, has x-intercepts at (2.0) and (4.0) and a y-intercept of (0.-16)?
f(x) = -(x-2)(x-4)
f(x) = -(x + 2)(x + 4)
O f(x) = -2(x-2)(x-4)
O f(x) = -2(x + 2)(x + 4)
Answer:
equation 3 for the x intercept ley Y =0 and for the Y intercept let X =O
Solve the following with steps
5/10 * -4/12 - 1/3 - 4/12 * 2/10
Answer:
Step-by-step explanation:
[tex]\frac{5}{10}*\frac{-4}{12}-\frac{1}{3}-\frac{4}{12}*\frac{2}{10}\\\\=\frac{1}{2}*\frac{-1}{3}-\frac{1}{3}-\frac{1}{3}*\frac{1}{5}\\\\= \frac{-1}{3}[\frac{1}{2}+1+\frac{1}{5}]\\\\=\frac{-1}{3}[\frac{1*5}{2*5}]+\frac{1*10}{1*10}+\frac{1*2}{5*2}]\\\\=\frac{-1}{3}[\frac{5}{10}+\frac{10}{10}+\frac{2}{10}]\\\\=\frac{-1}{3}[\frac{5+10+2}{10}]\\\\=\frac{-1}{3}*\frac{17}{10}\\\\=\frac{-17}{30}[/tex]
Rewrite the following expression.
A.
B.
C.
D.
Answer:
da
Step-by-step explanation:
Two adjacent angles of a paralle
logram are congruent. What is the measure of
each?
Answer:
[tex]90^{\circ}[/tex]. In other words, these two angles are both right angles, and this parallelogram would be a rectangle.
Step-by-step explanation:
Two angles that congruent have the same size.
At the same time, those two adjacent angles of this parallelogram would be a pair of consecutive interior angles. Because the two sides of a parallelogram are parallel to one another, the sum of these two consecutive interior angles would be [tex]180^{\circ}[/tex]- they are supplementary to one another.
Let the two angles be [tex]\angle1[/tex] and [tex]\angle 2[/tex].
[tex]\angle 1 = \angle 2[/tex] because the two angles are congruent.
[tex]\angle 1 + \angle 2 = 180^{\circ}[/tex] because these two angles are adjacent angles of a parallelogram.
Hence, [tex]\displaystyle \angle 1 = \angle 2 = \frac{1}{2} \times 180{^\circ} = 90^{\circ}[/tex].
Triangle PQR has been dilated to form triangle P'Q'R'. What is the least amount of information needed to determine if the two triangles are similar
Answer:
angles Q and Q' are congruent, angles R and R' are congruent
Step-by-step explanation:
For two triangles to be congruent, we need to show is two of the
1. corresponding angles are congruent,
or,
2. all three pairs of corresponding sides are proportional,
or,
3. two pairs of corresponding sides are proportional AND the included angles are congruent.
And, angles are always congruent when a figure is dilated
Therefore, angles Q and Q' are congruent, angles R and R' are congruent(satisfies the first criterion that at least two corresponding angles are congruent)
Peter's father told Peter to buy four-tenths of a pound of chili powder. Each
package is marked with its weight. What package should Peter buy?
Answer:
The one with 6.4 ounces or multiple that are equivalent to that
Step-by-step explanation:
4/10 of a pound is equivalent to 2/5 of a pound. 2/5 of a pound is 6.4 ounces.
Tom's age is divisible by 7. If Tom's age is divided by 3 or 4, the remainder will be one. Tom is less than 100 years old. What is Tom's age?
Answer:
49
Step-by-step explanation:
which is represented by the table
Answer:
I think its is C
A store charges 7% sales tax. Which expression can be used to find the total cost of an item with a price of p?
0.07p
0.93
1.07
7.000
HELP PLS SMb!
Answer:
0.07.
Step-by-step explanation:
Below. Lets say 1 is 100 dollars sale tax. If 1 is 100 7 would be 7.00
If you answer this correctly you get a cookie
Answer:
A
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Total waste = 22 000 in^3
If we use a proportion we have:
x : 100 = 2000 : 22 000
x = 200 000 / 22 000 = 9,09 % (option a is wrong
x : 100 = 7000 : 22 000
x = 700 000 / 22 000 = 31 % (ok)
In a class of 22 students, 7 are female and 17 have an A in the class. There are 3 students who are male and do not have an A in the class. What is the probability that a student who has an Ais a male?
Answer:
Step-by-step explanation:
total number of students=22
number of female students=7
number of male students=22-7=15
number of male students not having A=3
Number of male students having A=15-3=12
P(male student having A)=12/22=6/11
The probability that a student who has an A is male is approximately 0.632
What is probability?We can use the formula for conditional probability:
P(Male | A) = P(Male and A) / P(A)
We are given that there are 3 male students who do not have an A, so there are 22 - 3 = 19 students who have an A. Of these 19, we do not know how many are male. However, we do know that there are 7 female students, so the number of male students who have an A is:
19 - 7 = 12
Therefore, the probability that a student who has an A is male is:
P(Male | A) = 12 / 19
We can simplify this fraction by dividing the numerator and denominator by their greatest common factor (which is 1 in this case):
P(Male | A) = 12 / 19
So the probability that a student who has an A is male is approximately 0.632.
To know more about probability follow
https://brainly.com/question/16202956
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Charlie dve 208 miles in 4 hours at a constant speed he continues at that speed give the equation that shows the relationship between driving hours
Answer:
52 miles per hour
Step-by-step explanation:
I think you're missing some info, so this is all I can help with right now
How do u solve this ?
What is the volume of the rectangular prism below? ⊕
Answer:
32cm³ is the volume of the given rectangle.
Step-by-step explanation:
volume of rectangle=l×w×h
2×4×432cm³hope it helps
stay safe healthy and happy..Answer:
bro i go to your school
lol
Step-by-step explanation:
Harvey has a 5- gallon container of gasoline to fill all of his small engne tanks. He uses 1/2 gallon of the gasoline to fill each small engine tank he owns. How many small engine tanks does Harvey own? (give a reason) who ever helps me thank you
Answer:
10
Step-by-step explanation:
the small engine tanks that Harvey have = 5 ÷ ½ = 10
Need help on this! 10 points!!!
Answer:
C) or 1.25
Step-by-step explanation:
all you have to do is divide (thats how you undo multiplication) 150 and 120 (150/120) leading you to get 1.25.
HOPE THAT HELPED :D
pls help me expand this expression
Answer:
just be smart
Step-by-step explanation: (2x)
Brian runs 7 miles in 50 minutes. At the same rate, how many miles would he run in 75 minutes?
Answer:
7/50 = x/75
x = 10.5
therefore he would run 10.5 miles in 75 minutes
Answer:
In 75 minutes, she runs (7/50) x 75 = 10.5.
She runs 10.5 miles in 75 minutes.
Step-by-step explanation:
5(a-5)+a(a-5) complete the expression
Answer:
a^2 -25
Step-by-step explanation:
5a-25 + a^2 - 5a
a^2 - 25
how do you discribe any opposite in a parallelogram?
Answer:
Opposite sides of a parallelogram are parallel (by definition) and so will never intersect. The area of a parallelogram is twice the area of a triangle created by one of its diagonals. The area of a parallelogram is also equal to the magnitude of the vector cross product of two adjacent sides.
Step-by-step explanation:
Which equation in slope-intercept form represents a line that passes through the point (5, -1) and is
parallel to the lin y = 2x - 7?
A) y=-11x-7
B) y= -1/2x-7
C) y= 2x-9
D) y= -9x-7
E) y= 2x-11
Answer:
E) y= 2x-11
Step-by-step explanation:
as we know the equation of line parallel to
y =2x-7 or, 2x-y-7=0 is 2x-y+k=0
as the line passes through the point (5,-1)
substituting the value of x and y in equation 2x-y+k=0
we get,
2×5-(-1)+k=0
or, 10+1+k=0
or, k=-11
hence putting the value of k in ep 2x-y+k=0
we get 2x-y-11=0
or, y=2x-11
look at the image for the question and answers
Answer:
C
Step-by-step explanation:
Answer:
2 units
Step-by-step explanation:
Using the given formula
P = 2(l + w)
= 2([tex]\frac{2}{3}[/tex] + [tex]\frac{1}{3}[/tex] )
= 2(1)
= 2 units
45 people were surveyed. 33 people like hamburgers, 18 people like hamburgers and hot dogs. How many people like hot dogs?
Answer:
12
Step-by-step explanation:
45-33 is 12
And I guess to check, make sure 12 < 18
What is the value of x?
Enter your answer, as a decimal, in the box.
Answer:
x = 50.6
Step-by-step explanation:
Find the area of the triangle with vertices A(-3,2), B(1,-2), and c(1,3)
Answer:
10cm2
Step-by-step explanation:
A=1÷2×4×5=10cm2
ABCD is a quadrilateral.
29
Work out angle x.
13 cm
8 cm
А
6 cm
D
Answer:
Answer:
27.6 degrees
Step-by-step explanation:
The figure below shows the design of a truss to support the weight of a roof. In this truss design, ∠A⩭∠D and ĀF⩭DF.
Answer:
[tex]m\angle A= 30^{\circ}[/tex]
Step-by-step explanation:
In the question, we're given [tex]\angle A\cong \angle D[/tex]. Therefore, the measure of these two angles must be equal.
To find the value of [tex]x[/tex], set these two angles equal to each other:
[tex]4x-26=x+16[/tex]
Add 26 and subtract [tex]x[/tex] from both sides:
[tex]3x=42[/tex]
Divide both sides by 3:
[tex]x=\frac{42}{3}=14[/tex]
Since [tex]\angle A[/tex] was labelled as [tex]4x-26[/tex], substitute [tex]x=14[/tex] to find its measure:
[tex]\angle A=4(14)-26,\\\angle A=56-26,\\\angle A=\boxed{30^{\circ}}[/tex]
You can also substitute [tex]x=14[/tex] into the label of angle D as angle A is congruent to angle D for easier calculations ([tex]14+16=\boxed{30^{\circ}}[/tex]).
Triangle D E F is shown. Use ΔDEF to complete the statements. Angle E is the included angle between sides . The included angle between sides FE and DF is angle
Answer:
Angle E is the included angle between sides DE and EF.
The included angle between sides FE and DF is angle F
Step-by-step explanation:
Given
[tex]\triangle D EF[/tex]
Required
Complete the blanks
To solve this, I will attach an illustration of [tex]\triangle D EF[/tex]
From the attached image of [tex]\triangle D EF[/tex], we can see that"
[tex]\angle E[/tex] is between DE and EF
[tex]\angle F[/tex] is between FE and DF
Answer:
see picture
Step-by-step explanation: