Answer:
The distance of QR is 54 units
Step-by-step explanation:
In the isosceles triangle, The height drawn from the vertex angle to the base bisects the base
In ΔPQR
∵ PQ = PR
∴ Δ PQR is an isosceles triangle
∵ P is the vertex angle
∵ QR is the base
∵ PS ⊥ QR
→ By using the fact above
∴ PS bisects QR
∴ S is the midpoint of QR
→ That means S divided QR into 2 equal parts QS and SR
∵ QS = SR
∵ QS = 6n + 3
∵ SR = 4n + 11
→ Equate them to find n
∴ 6n + 3 = 4n + 11
→ Subtract 4 n from both sides
∵ 6n - 4n + 3 = 4n - 4n + 11
∴ 2n + 3 = 11
→ Subtract 3 from both sides
∵ 2n + 3 - 3 = 11 - 3
∴ 2n = 8
→ Divide both sides by 2
∴ n = 4
→ Find the length of QS by substitute x in its expression by 4
∵ QS = 6(4) + 3 = 24 + 3
∴ QS = 27
∵ QS = SR
∴ SR = 27
∵ QR = QS + SR
∴ QR = 27 + 27
∴ QR = 54 units
∴ The distance of QR is 54 units
The isosceles triangle has two sides with the same length. The base is one-half the length of a side. The expression which represents the perimeter, the distance around the triangle, is s + s + one-half s. What is the value of this expression if s = 8?
A triangle with 2 sides with length s.
Answer:
20 units
Step-by-step explanation:
s = 8
Perimeter = s + s + [tex]\frac{1}{2}*s[/tex]
[tex]= 8 + 8 + \frac{1}{2}*8[/tex]
= 8 + 8 + 4
= 20 units
Patti got a new part-time job. Her hourly wage increased from $10.50 to $12.39. What was the percent increase in Patti's hourly wage?
Answer:
18%
Step-by-step explanation:
Subtract $10.50 from $12.30 and you will get 1.8.
Then divide 1.8 to 100 (because 100% = total) and you will get 0.018 which means 18%. Her hourly wage increased by 18%.
Find the slope of the line. Enter your answer as
a number, fraction, or undefined. Reduce to
lowest terms where necessary.
Answer:-3/5
Step-by-step explanation:
Rise over run
Need help on this thank you if you help
Answer:
a. 2/5
b. 1/2
c. 100/9
Step-by-step explanation:
a: Multiply bottom and top by 100 to keep values the same and make the fraction a whole fraction:
.12 × 100 = 12
.3 × 100 = 30
Simplify: 12/30 = 2/5
b: Multiply bottom and top by 1,000 to keep values the same and make the fraction a whole fraction:
.125 × 1,000 = 125
.25 × 1,000 = 250
Simplify: 125/250 = 1/2
c: Multiply bottom and top by 100 to keep values the same and make the fraction a whole fraction:
4 × 100 = 400
.36 × 100 = 36
Simplify: 400/36 = 100/9
Translate X < 6 into a written statement.
Answer:
x is less than 6
Step-by-step explanation:
Answer:
5 units
Step-by-step explanation:
5 is less than 6 so therefor the answer is x=5 and 6 is more.
The tables show four relationships between x and y. In which table is there a NEGATIVE rate of change?
A)ᴛᴀʙʟᴇ ᴀ
B)ᴛᴀʙʟᴇ ʙ
C)ᴛᴀʙʟᴇ ᴄ
D) ᴛᴀʙʟᴇ ᴅ
ɪ'ᴍ sᴛᴜᴄᴋ ᴏɴ ᴛʜɪs ᴏɴᴇ ᴛᴏᴏ!
ᴀɴʏᴏɴᴇ ᴋɴᴏᴡ ᴛʜɪs ᴏɴᴇ?
Answer:
C
Step-by-step explanation:
Try using a scratch piece of paper to graph the points of each table to see which one would have a negative slope. Or use the formula y1-y2/x2-x1 to find the slope and see which one is negative.
PLEASE HELP ASAP!
log base4(x^2+x+4)=2 solve for x
Step-by-step explanation:
multiply all the numbers by 4 I think except for the exponent
Answer:
i-i13/2 hope this helps
Step-by-sitep explanation:
I’m doing percent equation and the question is blank % of $50 = $35 help me plzzz
70%
50 * x = 35
x= 35/50
x=0.7
x=70%
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
16 gal : 24 gal
pleases show workkkkkkkkkkkkkkkk
Answer:
5) 2(4 - n) = -3n
2 × 4 - 2 × n = -3n
8 - 2n = -3n
-2n + 3n = -8
1n = -8
n = -8/1
n = -8
6) 5 - 3(2 + 2w) = -7
5 - 3 × 2 + -3 × 2w = -7
5 - 6 - 6w = -7
-1 - 6w = -7
-6w = -7 + 1
-6w = -6
w = -6/-6
w = 1
7) 5(2r + 3) - 5 = 0
5 × 2r + 5 × 3 - 5 = 0
10r + 15 - 5 = 0
10r + 10 = 0
10r = -10
r = -10/10
r = -1
8) 3 - 5(2d - 3) = 4
3 - 5 × 2d - 5 × -3 = 4
3 - 10d + 15 = 4
-10d + 15 + 3 = 4
-10d + 18 = 4
-10d = 4 - 18
-10d = -14
d = -14/-10
d = 7/5
hope this helps you!!
help, please? Pleeeeeeeaaaaaaasssssssseeeeeee??
Answer:
Graph A passes THrough the Center making it proportional when graph B is not passing
Step-by-step explanation:
Answer:
that is y
Step-by-step explanation:
Graph A is proportional because it runs thru the origin while the other doesn't
What is the remainder when
f(x) = 2x4 + x2 – 8x – 1 is divided
by x - 6?
Answer:
Step-by-step explanation:
x - 6 = 0
x = 6
f(x) = 2x⁴ + x² - 8x - 1
=2(6)⁴+ 6² - 8*6 - 1
= 2*1296 + 36 - 48 - 1
= 2592 + 36 - 48 - 1
= 2628 - 49
= 2579
Is the inequality true or false when t = -3: 33/t - 2 ≥ -8
Solve the system of linear equations by multiplying.
7x-2y=22
3x+9y=39
Answer: The answer (4,3) or x=4 and y=3
idk what i'm doing :(
please answer this. thank you
Answer: [tex](-\infty, -4][/tex]
Curved parenthesis at negative infinity
Square bracket at -4
====================================================
Work Shown:
[tex]5(x+4) \le 0 \\\\x+4 \le \frac{0}{5} \\\\x+4 \le 0 \\\\x \le 0-4 \\\\x \le -4 \\\\[/tex]
The last inequality shown above is the same as saying [tex]-\infty < x \le -4[/tex]
Converting this to interval notation leads to the final answer of [tex](-\infty , -4][/tex]
Note the use of a square bracket at -4 to include this endpoint. We can never include either infinity, so we always use a parenthesis for either infinity.
Need help !!!! thanks
Answer:
same side interior, and adjacent
Step-by-step explanation:
Which statement best describes parallel lines?
Parallel lines intersect at exactly one point.
Parallel lines intersect at exactly one point. ,
Parallel lines intersect infinitely many times.
Parallel lines intersect infinitely many times. ,
Parallel lines have equal slopes.
Parallel lines have equal slopes. ,
Parallel lines have negative reciprocal slopes.
Answer:
Step-by-step explanation:
Parallel lines have identical slopes and different y intercepts.
y = 3x + 2
y = 3x + 9
These lines are parallel with the same slopes (3) and different y intercepts (2 and 9)
Suppose a ice cream cone cost lies and $.80 each how many ice cream cone put the couch buy with $42?
So you want to go to your calculator type 42 divided by zero, and you should get a 52.5.
how do you solve 2x<8
Answer: x<4
Step-by-step explanation:
Let's solve the inequality step-by-step.
2x<8
Step 1: Divide both sides by 2.
2x2<82
x<4
Answer:
x<4
Answer:
Thanks for the points loser
Math Problem: Convert
Answer:
135°
Step-by-step explanation:
To convert from radians to degrees
degree = radian × [tex]\frac{180}{\pi }[/tex]
Thus for [tex]\frac{3\pi }{4}[/tex]
degree = [tex]\frac{3\pi }{4}[/tex] × [tex]\frac{180}{\pi }[/tex] ( cancel the π )
= [tex]\frac{3(180)}{4}[/tex]
= [tex]\frac{540}{4}[/tex]
= 135°
PLEASE HELP ME ASAP!!!!!!
Answer:
b
Step-by-step explanation:
can someone check these and tell me which ones are in the wrong column, thanks
Answer:
∠2 and ∠5 should not be Alternate exterior angles. ∠2 and ∠11 can be Alternate exterior angles if that is an option. The rest is correct. As for consecutive interior angles, you have (∠3 and ∠9), (∠4 and ∠10), (∠7 and ∠13) and (∠8 and ∠14).
Step-by-step explanation:
Alternate exterior angles are basically like the angles that are the combination of a vertically opposite angle and a corresponding angle. Since the vertical lines are not parallel, ∠2 and ∠5 cannot be Alternate exterior angles.
Consecutive interior angles are any pair of angles that are within a pair of parallel lines and add up to 180°.
2. Find the slope of the line graphed below.
simplify the exponential expression completely. pleeeease help me!!!!! thank you so so so much!!! *will give brainliest*
Answer:
( C ) p5 / q4
Step-by-step explanation:
Giving brainless! I needa past math
Answer:
A
Step-by-step explanation:
Because firstly they loose (minus) and then they have to divide this loss by 9.
Answer:
A or C
Step-by-step explanation:
If they’re both wrong then my bad
Which shows the explicit formula for the sequence below ?
-15, -6, 3, 12, 21, ...
Answer:
I think is F(N)=F(1)r
Step-by-step explanation:
cause you want to find f (8) of the geometric sequence when(1) =-4 and the common ratio is -2
Write an equation of the line that passes through (-2, 3) and is parallel to the line y= 2x-4
Answer:
A hi esta la solucion
Step-by-step explanation:
Answer:
y=2x+7
Step-by-step explanation:
Since the answer HAS to be parallel to the line y=2x-4, that means the only number that should change is the y-intercept (the last number in the equation.) y-intercept is the x-value when y=0, which basically means, if you put the line onto a graph, look for the point when the line passes through the y-axis, then look at how far up or down that point is (x-value). That will be your answer. Since the line passes through the y-axis at x=7, the answer is y=2x+7! Sorry if this is too confusing, I'm not good at teaching XD
Solve: 1,243 = 12
Show the remainder as a fraction.
help for brainliest plsssssssssssssss
Answer:
There will be 416 students in each group.
Step-by-step explanation:
There are 1,248 students. There are also 3 groups: radical readers, mathematicians, and super scientists. To find the number of people in each group, divide the total students by the number groups, which would be 1,248 divided by 3.