Answer:
y = -3
Step-by-step explanation:
X-2y=3
Let x=-3
-3 -2y = 3
Add 3 to each side
-3+3 -2y = 3+3
-2y = 6
Divide by -2
-2y/-2 = 6/-2
y = -3
CE and FI are parallel. Giving reasons prove that DGH is isosceles
9514 1404 393
Answer:
∠GDH = ∠GHD = 50°
Step-by-step explanation:
Angles FGD and EDG are alternate interior angles, so are congruent. That means angle EDG is 100°. The angle sum theorem tells us ...
∠EDG = ∠EDH +∠HDG
100° = 50° +∠HDG
50° = ∠HDG
You can find the measure of ∠DHG a couple of different ways. It is an alternate interior angle congruent to ∠EDH, so is 50°. It is one of two remote interior angles that have a sum equal to the exterior angle FGD, so is ...
∠DHG = ∠FGD -∠HDG = 100° -50° = 50°
So, angles DHG and HGD both have measures of 50°. When a triangle has two angles with the same measure, it is an isosceles triangle.
ZA — 5х – 12°
ZB = 2х + 24°
B
4
Answer:
Step-by-step explanation:
angle A =angle B (because they are alternate interior angles)
5x-12=2x+24
5x-2x=24+12
3x=36
x=36/3
x=12
angle A=5x-12
5*12-12
60-12
48
angle B=2x+24
2*12+24
24+24
48
what is the value of x to the nearest tenth
Answer:
x ≈ 24.7
Step-by-step explanation:
Using the Sine rule in the triangle , that is
[tex]\frac{x}{sin71}[/tex] = [tex]\frac{15}{sin35}[/tex] ( cross- multiply )
x × sin35° = 15 × sin71° ( divide both sides by sin35° )
x = [tex]\frac{15sin71}{sin35}[/tex] ≈ 24.7 ( to the nearest tenth )
you have a baker that is currently at 70°F what would happen if you added water to lower the temperature by 15°
Answer:
65
Step-by-step explanation:
easy
Question 12 (1 point)
The solution to 2x + y = 8 and y = x -7 is (5,-2).
True
False
Answer:
True
Step-by-step explanation:
Used a graphing calculator to check
Hope this helps
100 POINTS HELP! THIS IS A PROJECT. NOT IN A RUSH.
Describe how to find the terms mean, median, mode, and range of a group of numbers.
Pretend you are a teacher trying to describe these terms to a student. Make sure you write as if you are the teacher and explain each term as if the student is learning this for the first time. Be descriptive and give examples. Make sure you include the data set (the group of numbers) you will be working with. Be sure to use complete sentences. Be creative!
Answer
Hello class!
Step-by-step explanation:
1. The mean is the average of a data set.
2. The mode is the most common number in a data set.
3. The median is the middle of the set of numbers.
Of the three, the mean is the only one that requires a formula. I like to think of it in the other dictionary sense of the word (as in, it’s mean as opposed to nice!). That’s because, compared to the other two, it’s not as easy to work with.
The value of a piece of property is growing at a rate of 3.5% annually if the property was worth $77,000 when it was purchased, which equation could be used to determine the value of the property, y, x years after it was purchased?
A. y=77,000+3.5x
B. y=77,000(3.5)x
C. y=77,000(1.035)x
D. y=77,000(0.035)x
Math Problem Solving
statistics and probability
Answer:
Standard Deviation = 3.22
Variance = 10.36
Step-by-step explanation:
x P(x) x × P(x) x² x² × P(x)
19 0.20 3.8 361 72.2
10 0.20 2 100 20
11 0.30 3.3 121 36.3
12 0.20 2.4 144 28.8
13 0.10 1.3 169 16.9
____________________________________________
12.8 174.2 => Total
Mean Formula
[tex]\mu_x = \sum(x \times P(x))[/tex] [tex]= 12.8[/tex]
[tex]\mu_x^2 = 163.84[/tex]
Variance Formula
[tex]\sigma _x^2 = \sum[x^2 \times P(x)] - \mu_x^2[/tex]
[tex]= 174.2- 163.84\\\\=10.36[/tex]
Standard Deviation Formula
[tex]Standard\ deviation, \ \sigma_x = \sqrt{Variance}[/tex]
[tex]=\sqrt{10.36}\\\\=3.218[/tex]
Help me to do this question
Answer:
c1) adjacent
c2) not adjacent
c3) adjacent
c4) not adjacent
c5) adjacent
c6) not adjacent
d1) 20°
Complement: 90° - 20° = 80°
Supplement: 180° - 20° = 160°
d2) 77°
Complement: 90° - 77° = 13°
Supplement: 180° - 77° = 103°
d3) 101°
Complement: doesn't have a complement.
Supplement: 180° - 101° = 79°
d4) 90°
Complement: 90° - 90° = 0°
Supplement: 180° - 90° = 90°
d5) 96°
Complement: doesn't have a complement
Supplement: 180° - 96° = 84°
d6) x
Complement: 90° - x
Supplement: 180° - x
d7) y
Complement: 90° - y
Supplement: 180° - y
In stage 2 of a rocket's takeoff, the speed of the rocket increases at a rate of 4.3% per minute. The speed of the rocket at the beginning of stage 2 was 5,000 kilometers per hour. Its speed at the end of Stage 2 will be 25,000 kilometers per hour.
If t is the time, in minutes, from the beginning of stage 2, which equation could be used to determine how long it will take for the speed of the rocket to reach 25,000 kilometers per hour, assuming it increases at the same rate for all of stage 2?
A.
5,000 = 25,000(0.043)t
B.
5,000 = 25,000(0.957)t
C.
25,000 = 5,000(1.043)t
D.
25,000 = 5,000(1.43)t
ANSWE PLEASEEEEEEEEEEEEEEE
Answer:
your answer is gonna be A!! <3
Step-by-step explanation:
1 Subtract 33 from both sides.
y-3=-2x
y−3=−2x
2 Divide both sides by -2−2.
-\frac{y-3}{2}=x
−
2
y−3
=x
3 Switch sides.
x=-\frac{y-3}{2}
x=−
2
y−3
Answer:
A
Step-by-step explanation:
How many quarters does Annie have
A.35
B.49
C.3
D.7
Answer:
n = 7
Step-by-step explanation:
sarah = m
annie = n
sarah has 21 more than annie
m = 21+n
given sarah has 28 quareters
m = 21 + n
28 = 21 + n
28 - 21 = n
7 = n
annie has 7 quarters.
I need to find the area
Answer:
90 cm^2
Step-by-step explanation:
The area of a triangle is half of the base times height, so it is 1/2*15*12 = 7.5*12 = 90
Find the volume of the shape with the given dimensions 8 in by 5 in by 3 in
Answer:
V = (8 in)(5 in)(3 in) = 120 in^3
Step-by-step explanation:
The likeliest name for this shape is "rectangular prism." Let's assume that the length, L, is 8 in; the width, W, is 5 in; and the height, H, is 3 in.
Then the volume of this rectangular prism is V = L * W * H, or
V = (8 in)(5 in)(3 in) = 120 in^3
Mikey Johnson shipped out 41 1/4 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 3/4 pounds each . How many packets did he ship out?
Answer:
15
Step-by-step explanation:
Number of packets shipped out = total weight of electrical supplies / weight of individual packets
[tex]41\frac{1}{4}[/tex] ÷[tex]2\frac{3}{4}[/tex]
to solve convert the mixed fractions to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
[tex]\frac{165}{4}[/tex] ÷ [tex]\frac{11}{4}[/tex]
[tex]\frac{165}{4}[/tex] × [tex]\frac{4}{11}[/tex] = 15
what is slop of the line that passes through the ponitss (5, -4) and (7, -4)
Answer:
The slope is 0
Step-by-step explanation:
Points on the graph:
(5, -4) and (7, -4)
Slope:
m=(y2 - y1)/(x2 - x1)
m=(-4 + 4)/(7 - 5)
m= 0/2
m=0
altogether i have 10 bags of sweets. the mean number of sweets in the bag is 40
Answer the question : I don't get what the question is suppose to be
Step-by-step explanation:
Two roots of a third degree polynomial function f(x) are –4 and 4. Which statement describes the number and nature of all roots for this function?
f(x) has three imaginary roots.
f(x) has three real roots.
f(x) has two real roots and two imaginary roots.
f(x) has three real roots and one imaginary root.
Answer:
Step-by-step explanation:
A third degree polynomial has a total of three roots, real and imaginary combined.
If it already has 2 real roots, -4 and +4, then it has to have three real roots because imaginary roots come in conjugate pairs, i.e. they come in even numbers.
Answer:
Three real roots
Step-by-step explanation:
Can anyone help me please I really need help.
Answer:
what do u need help with
Step-by-step explanation:
Peter wallpapered a wall that was 9 feet wide and 8 feet high. He had 27 square feet of wallpaper left over. How many square feet of wallpaper did he start with?
Answer:
99 square feet
Step-by-step explanation:
Because 8 times 9=72+27=99
how do you do this?
Answer:
by increasing the size ez
What is the volume of this triangular prism? A triangular prism. The triangular base has a base of 28 centimeters and height of 22.4 centimeters. The height of the prism is 18.1 centimeters. 313.6 506.8 5,676.16 11,352.32
Answer:
The volume of the triangular prism is 5676.16 cm³
Step-by-step explanation:
The area of the triangular base A = bh/2 where b = base = 28 cm and h = height = 22.4 cm.
Now, the volume of the triangular prism, V = area of triangular base, A × height of prism, h'
V = Ah' where h = height of prism = 18.1 cm
So, V = bhh'/2
Substituting the values of the variables into the equation for V, we have
V = bhh'/2
V = 28 cm × 22.4 cm × 18.1 cm/2
V = 14 cm × 22.4 cm × 18.1 cm
V = 5676.16 cm³
So, the volume of the triangular prism is 5676.16 cm³
Answer:
5676.16 cm³
Step-by-step explanation:
pleaseee help me with this questionnn
Answer:
itss8tsz85sz85s,85s,8td,8td,85dz85dzd85e,7554334567
Step-by-step explanation:
otdxd8td 8td 85sx8ts,ts8,8ts,8td,88ts8ts,8ts,8ts,8ts,8ts,8ts,8ts,8ts,8ts,,8ts8ts,8t,s8ts,8tz8txdxtitixtxtidittdxdctiti dttxdididez6z84gfiwz84wz85wzy0dcydcydc6dctr456887654
What is the area of the sail?
Answer:
I agree other students
Step-by-step explanation:
congrats
A recipe for a smoothie for 0.75 pound of strawberries. If Kerry has 3.15 pounds of strawberries, how many batches of the recipe can She make
Answer:
4 batches
Step-by-step explanation:
To obtain the number of batches of the recipe that can be made ;
We take the divison of the total amount of strawberry by the amount of strawberry required per batch :
Pounds of strawberry per recipe = 0.75 pound
Total pounds of strawberry = 3.15 pound
= 3.15 / 0.75
= 4.2
We round down :
4.2 batches = 4 batches of the recipe can be made
Plssssss HELP ME WITH THIS
Please help me ASAP tysm
Answer:
?
Step-by-step explanation:
A bag contains 8 red balls and 6 blue
balls.
Radhika takes three balls at random
from the bag, without replacement.
Calculate the probability that the three
balls are the same colour. *
Answer:
The probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.
Step-by-step explanation:
Since a bag contains 8 red balls and 6 blue balls, and Radhika takes three balls at random from the bag, without replacement, to calculate the probability that the three balls are the same color, the following mathematical operations must be performed:
8 + 6 = 14
14 = 100
8 = X
8 x 100/14 = X
800/14 = X
57.14 = X
100 - 57.14 = 42.86
0.5714 ^ 3 = X
0.1865 = X
0.4286 ^ 3 = X
0.0787 = X
Therefore, the probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.
Fill in the blank: 12(8x - 4) = __X - 48
Answer:
96x
Step-by-step explanation:
12(8x - 4)
=12*8x - 12*4
=96x - 48
Answer:
96
Step-by-step explanation:
You distribute the 12 to each term, the 8x term turns into 96x after distribution.
Shape ABC has the following coordinate
A (3,9) B (27,-15) C (-12,-6)
The Image A'B'C' of a dilation has the coordinate
A' (1,3) B' (9,-5) C' (-4,-2)
What is the Scale Factor of the Dilation
