9514 1404 393
Answer:
x = 4
Step-by-step explanation:
The parallel lines divide the sides proportionally, so ratios of corresponding sides are the same.
(x +5)/15 = (5x +1)/35
Multiplying by 105, we have ...
7(x +5) = 3(5x +1)
7x +35 = 15x +3 . . . . . eliminate parentheses
32 = 8x . . . . . . . . . subtract 7x+3 from both sides
4 = x . . . . . . . . divide by 8
To which of the following sets of numbers does 725 belong?
Prime Number
Negative Number
Positive Number
What is the area of the triangle in centimeters squared?
Answer:
[tex]{ \tt{base = \sqrt{ {23}^{2} - {16}^{2} } = 16.5 \: cm}} \\ area = \frac{1}{2} \times base \times height \\ area = \frac{1}{2} \times 16.5 \times 16 \\ { \tt{area = 132 \: {cm}^{2} }}[/tex]
△ABC is reflected across the y-axis on a coordinate plane, resulting in △A′B′C′. If the measure of ∠A is 50 degrees, what is the measure of ∠A′?
Answer:
Reflections across the line y = x
A reflection across the line y = x switches the x and y-coordinates of all the points in a figure such that (x, y) becomes (y, x). Triangle ABC is reflected across the line y = x to form triangle DEF. Triangle ABC has vertices A (-2, 2), B (-6, 5) and C (-3, 6).
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
Hello! answer: c = 4
Step-by-step explanation:
triangle area formula: base × height ÷ 2 or base × height × 1/2
6 × 4 = 24
24 ÷ 2 = 12 therefore c = 4 Hope that helps!
Tenemos 2 garrafas una al 20% y otra al 30%. Cual es su capacidad de las garrafas si tenemos 12 litros de agua
Answer:
Cada garrafa tiene una capacidad de 24 litros.
Step-by-step explanation:
Tenemos dos garrafas, definamos V como el volumen que cada garrafa tiene.
Sabemos que una de las garrafas tiene el 20%, entonces el volumen de agua que tiene esta garrafa es:
(20%/100%)*V
Y la otra garrafa tiene el 30%, entonces esta garrafa tiene:
(30%/100%)*V
El volumen total de agua es la suma de esos dos volúmenes, que nos da:
(20%/100%)*V + (30%/100%)*V
Y sabemos que tenemos 12 L de agua, entonces podemos escribir la ecuación:
12 L = (20%/100%)*V + (30%/100%)*V
Ahora podemos resolver esto para V.
12L = 0.2*V + 0.3*V
12L = 0.5*V
12L/0.5 = V
24L = V
Cada garrafa tiene una capacidad de 24 litros.
Can I get some help with this?
identify the postulate (if any) that can be used to show the two triangles are congruent.
Answer:
Step-by-step explanation:
1) SSS
2) SAS
3) SSA
4) SSA
no, don't say Angle Side Side... :P
Solve for x. Thank you
Given:
A figure of a right angle triangle.
To find:
The value of x.
Solution:
First, label the vertices figure as shown below.
In triangle ABC and DBA,
[tex]\angle BAC\cong \angle BDA[/tex] (Right triangles)
[tex]\angle ABC\cong \angle DBA[/tex] (Common angle)
[tex]\triangle ABC\sim \triangle DBA[/tex] (AA property of similarity)
We know that the corresponding sides of similar triangles are proportional.
[tex]\dfrac{BC}{BA}=\dfrac{AB}{DB}[/tex]
Substituting the given values from the below figure, we get
[tex]\dfrac{x}{8\sqrt{3}}=\dfrac{8\sqrt{3}}{12}[/tex]
[tex]x=\dfrac{8\sqrt{3}}{12}\times 8\sqrt{3}[/tex]
[tex]x=\dfrac{192}{12}[/tex]
[tex]x=16[/tex]
Therefore, the value of x is 16 and correct option is B.
D. (-7,1) PLEASE HELPPPPPPP ASAAAPPPPP
Answer:
2,3 and -1,7
Step-by-step explanation:
What is the equation of the line in slope-intercept form?
Answer:
y = - 1/2x =0
Step-by-step explanation:
y = mx + b
b = intercept
m = slope
The intercept is 0.
Slope: 0 - 1 / 0+2
Slope = -1/2
Find the missing length of the triangle.
Answer:
12 =c
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
7.2 ^2 + 9.6 ^2 = c^2
51.84+92.16= c^2
144 = c^2
Taking the square root of each side
sqrt(144) = sqrt(c^2)
12 =c
Answer:
Let's find the hypotenuse.
7.2^2 + 9.6^2
51.84 + 92.16 = 144
√144(square root of 144) = 12, c = 12
Consider the function.
f(x) = x2 + 3
Which answer pairs a possible domain restriction that if placed upon f(x) would impact f–1(x) as shown?
Answer:
b
Step-by-step explanation:
edge 2021
The solution is:
B. f(x) domain: x ≥ 1
f–1(x) range: y ≥ 1
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Here, we have,
Because the two functions are inverse to each other, so we all know that the domain of f(x) will be the range of f^-1(x) and the range of f(x) will be the domain of f^-1(x)
As can be seen from the attached photo,
f(x) extends to the right of x=1, so its domain is x ≥ 1.
<=> f^-1(x) range is y≥ 1.
Therefore, we choose answer B
To learn more on function click:
brainly.com/question/21145944
#SPJ3
complete question:
Which answer pairs a possible domain restriction for f(x) and its corresponding impact on f-1(x)
A coffee shop offers coffee either iced or hot in sizes small, medium, and large. The flavor options are vanilla,
hazelnut, and caramel. If you received a coffee at random, what is the probability you would receive a large,
iced, hazelnut coffee?
Answer:
1/18
Step-by-step explanation:
There are 2 x 3 x 3 = 18 combinations of coffee. Only one is large, iced and
hazelnut
So, the probability is 1/18
Janine is running at 10 kilometers per hour. How long will it take Janine to travel 15 kilometers?
Step-by-step explanation:
janine is running 10 kilometer per 60 minutes
means janine runs 1 km in
=60/10
=6
since,Janine runs 1 km per 6 minutes
how much time does janine takes to run 15 km
=15 ×6
=90
Therefore Janine takes 90 minutes to run 15 km ie1 hour 30 minutes
Which form do you prefer when finding the vertex of a quadratic function, vertex or standard? Why?
Solve for A.
-11 + a/15= -13
Please show work.
Answer:
A/15 = -13+11
A/5=-2
A= -2*5
A = -10
Answer:
-30
Step-by-step explanation:
-11+a/15=-13
a/15=-13-(-11)
a/15=-13+11
a/15=-2
a=-2*15
a=-30
According to the dimensions given on the right rectangular
prism, what is the volume? Fill in the blank with an answer
rounded to the nearest hundredth.
Just type the number. You do not need to type the units.
Answer:
26.67
Step-by-step explanation:
8 x 5 x 2/3 = 80/3 = 26.67
Solve for r (will give Brainliest)
64pi = 1/3 pi r^2 x 3
Answer:
Step-by-step explanation:
64pi = (1/3)pi r^2 *3 = pi r^2
r^2 =64
r = sqrt(64) = 8
Please help solve the question in the image
Answer:
✅On average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.
✅On average, it rains more in Zachary in a year.
Step-by-step explanation:
Mean annual rainfall on average = total amount of rainfall for the period of years ÷ 10
✔️Mean Annual rainfall for Albany (in.):
= (22.82 + 19.83 + 28.40 + 23.35 + 30.78 + 21.34 + 11.20 + 17.04 + 18.63 + 16.28) ÷ 10
= 20.967
✔️Mean Annual rainfall for Zachary (in.):
= (26.41 + 23.54 + 30.02 + 26.35 + 34.24 + 25.74 + 18.98 + 21.26 + 23.61 + 21.38) ÷ 10
= 25.153
✅Therefore, on average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.
✅On average, it rains more in Zachary in a year.
In order to understand the magnitude of the effect a treatment has on a group of subjects in an experiment, the response from a treatment group is compared with the response from:
A) A different treatment group in the same trial of the experiment
B) The same treatment group in a different trial of the experiment
C) A control group in the same trial of the experiment
The Smith family plans to purchase a new house in 4 years, and they want to make a down payment of 25% of the estimated purchase price of $250,000. Find the amount they need to invest to make the down payment if funds earn 12% compounded quarterly.
Answer:
The Smith Family paid $50, 820 as down payment.
Step-by-step explanation:
Total purchase price the Smith Family Paid = $231,000
Percentage of the amount paid in Down Payment = 22%
This means 22% of the total purchase price was paid in down payment.
The formula to calculate percentage in this case will be:
Percentage Price = (Amount Paid in Down Payment/Total Price) x 100%
Using the values, we get:
22% = (Amount Paid in Down Payment) / 231,000 x 100%
0.22 = (Amount Paid in Down Payment) / 231,000
Amount Paid in Down Payment = 0.22 x 231000 = $50, 820
This means, The Smith Family paid $50, 820 as down payment.
Hope this answer helps you :)
Have a great day
Mark brainliest
the quotient of n and 6
ASAP I need an answer today will give 100 points and mark brainliest PLSSSSSSSSS :)
Answer:
The quotient of n and 6 is n/6, as quotient means divide.
for example, if it was "the quotient of 24 and 6", it would be 24/6, which is 4.
A scale drawing of a school playground in the shape of a rectangle is shown
19 cm
School playground
8 cm
Scale
1 centimeter : 4.5 meters
What is the area, in square meters of the playground?
A. 152
OB. 684
C 1094
D3078
Answer:
b
Step-by-step explanation:
8×19= 152 [tex]cm^{2}[/tex]
1 [tex]cm^{2}[/tex] : 4.5 [tex]m^{2}[/tex]
152×4.5=684 [tex]cm^{2}[/tex]
Eleisha is standing facing East. She turns in a clockwise direction and is now facing West. Through how many degrees did Eleisha turn.
Answer:
180 degrees
Step-by-step explanation:
East and west are two opposite directrions along the same line.
The angle is 180 degrees.
Answer: 180°
Step-by-step explanation: The directions on a compass would look something like this; (Refer to the image.)
A full circle is 360°. Half of 360 is 180. You would have to make a clockwise rotation by 180° to face West. Think of this picture as a clock or a circle.
I hope this helps!
please help!!! i’ll give brainliest.
no links
do not comment random things
i need help asap!!
ill give as many points i can
ihgubhuybh g bh h ygv vgbj uv bu
Answer:
4
Step-by-step explanation:
The scale factor is 4
Could anyone offer a step by step on how to solve this problem?
Answer:
[tex]m\angle 1 = 40^\circ[/tex]
Step-by-step explanation:
First, notice that the two lines are parallel as indicated by the arrow.
Therefore, by the Alternate Interior Angles Theorem:
[tex]\angle 1\cong \angle 2[/tex]
So:
[tex]m\angle 1 = m\angle 2[/tex]
Substitute:
[tex](2x+20)=(3x+10)[/tex]
Solve for x. Subtract 2x from both sides:
[tex]20=x+10[/tex]
And subtract 10 from both sides:
[tex]x=10[/tex]
We know that:
[tex]m\angle 1 = 2x+20[/tex]
Substitute. Hence:
[tex]m\angle 1 =2(10)+20=40^\circ[/tex]
Find the volume of the L shaped composite prism, show clearly how you got your answers
9514 1404 393
Answer:
510 cm³
Step-by-step explanation:
The overall height of the front face is 9+2 = 11 cm.
The overall width of the front face is 6+4 = 10 cm.
Out of that 11 cm by 10 cm rectangle, a cutout is made in the upper right corner. The area of that cutout (in the plane of the front face) is 2 cm high by 4 cm wide.
Then the area of the front face is ...
(11 cm)(10 cm) -(2 cm)(4 cm) = 110 cm² -8 cm² = 102 cm²
The volume of the prism can be found using the formula ...
V = Bh
where B is the area of the "base" of the prism, and h is its height. Here, the "base" is the front face, and the height is the dimension marked 5 cm. The volume is ...
V = (102 cm²)(5 cm) = 510 cm³
The volume of the prism is 510 cm³.
help me I have hard times in algebra
on a piece of paper graph y>=2x-3
Answer:
Omsk internet pra mim é um vídeo de um dia
Some values of a linear function are shown in this table:
х
y
2
4
3
6.5
4
4
9
5
11.5
What is the rate of change of this function?
O A. -2.5
O B. 2.5
O C. 1.625
D. -1.625
the function of this answer b