what are the angle measures?
The triangles shown below must be congruent?
Answer:
True
Step-by-step explanation:
Find the distance from point A(-1/4,5) to the line -x+2y=14. Round your answer to the nearest tenth.
Answer:
The distance from A(-1/4, 5) to the line -x + 2·y = 14 is approximately 1.7 units
Step-by-step explanation:
The shortest distance from a point to a line is the perpendicular from the line to the point
The equation of the given line is -x + 2·y = 14, which can be written in slope and intercept form as follows;
-x + 2·y = 14
2·y = 14 + x
y = 14/2 + x/2 = x/2 + 7
y = x/2 + 7
The slope, m₁ = 1/2 and the y-intercept = 7
Therefore, the slope, m₂, of the perpendicular line to the line -x + 2·y = 14 which was rewritten as y = x/2 + 7 is m₂ = -1/m₁ = -1/(1/2) = -2
Therefore, we have that the slope of the line from A(-1/4, 5) to the line -x + 2·y = 14, is -2
The equation of the line is therefore;
y - 5 = -2(x - (-1/4))
y - 5 = -2·x - 1/2
y = -2·x - 1/2 + 5 = -2·x + 9/2
y = -2·x + 9/2
The coordinates of the point on the line -x + 2·y = 14 (y = x/2 + 7) that coincides with the perpendicular from the point A(-1/4, 5) is therefore given as follows;
-2·x + 9/2 = x/2 + 7
9/2 - 7= x/2 + 2·x
-2.5 = 2.5·x
x = -2.5/2.5 = -1
x = -1
y = x/2 + 7 = -1/2 + 7 = 6.5
y = 6.5
The coordinates of the point on the line -x + 2·y = 14 (y = x/2 + 7) that coincides with the perpendicular from the point A(-1/4, 5) is (-1, 6.5)
The distance from A(-1/4, 5) to B(-1, 6.5), is given as follows;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Where;
(x₁, y₁) = (-1/4, 5), and (x₂, y₂) = B(-1, 6.5)
Plugging in the values, we have;
[tex]l_{AB} = \sqrt{\left (6.5-5 \right )^{2}+\left ((-1)-(-1/4) \right )^{2}} = \sqrt{\left (-0.75 \right )^{2}+\left (1.5 \right )^{2}} = \sqrt{\dfrac{45}{16} } = \dfrac{3}{4} \cdot \sqrt{5}[/tex]
[tex]l_{AB} = \dfrac{3}{4} \cdot \sqrt{5} \approx 1.677[/tex]
Therefore, the distance from A(-1/4, 5) to the line -x + 2·y = 14 ≈ 1.7 units, rounding to the nearest tenth.
Answer:
Step-by-step explanation: no work shown?
Calculate the full perimeter of a semicircle with a diameter 8cm. Round to 1 decimal place.
Answer:
20.6
Step-by-step explanation:
20.5664 = 20.6
Answer:
20.6 cm
Step-by-step explanation:
First find the circumference of a semicircle with diameter 8 cm
C = 1/2 ( pi d)
C = 1/2 ( 3.14 * 8)
C = 12.56cm
Then add the diameter to close the circle
12.56+8 = 20.56 cm
Round to 1 decimal place
20.6 cm
Find the exact value for csc225°
Answer:
[tex]-\sqrt2[/tex]
Step-by-step explanation:
csc 225 degrees is the multiplicative inverse of sin 225 degrees. sin 225 degrees. We can use a unit circle with radius of 1 to find out sin 225 degrees. a 225 degree rotation counter clockwise is equivalent to a 180 degree turn followed by a 45 degree turn. Therefore, the final value is going to be in the third quadrant, a 45 degree turn in. This means that sin(225 degrees) = [tex]-\sqrt2/2[/tex] The multiplicative inverse of that is [tex]-\sqrt2[/tex]
uating an Expression Evaluate –32 + (2 – 6)(10).
Answer:
-72
Step-by-step explanation:
-32+(2-6)(10)
-32+(-4)(10)
-32+(-40)
-72
Answer:
its -49
Step-by-step explanation:
i got it right on edge 2021
[EXTREMELY TIME SENSITIVE] Elise gets a free allowance of $6 000 and pays tax at 25% on the next $20 000. She pays at a tax rate of 30% on the rest. If she earns $72 000 per year, how much tax must she pay?
Johan earns $560 per week and works 48 weeks a year. If he gets a tax free allowance of 8 000, pays tax at a rate of 10% on the next $10 000 and 20% on the rest, how much tax will he pay in a year?
Answer:
the first one is
Excess of rent paid annually over 10% of annual salary Actual HRA received = Rs 84,000 must not be owned by the person claiming the tax
the next one i cant help with
Step-by-step explanation:
Whats does d = in the equation 38 = 3d - -8
Answer:
D=10
Step-by-step explanation:
38=3d -(-8)
38=3d+8
38-8=3d+(8-8)
30=3d
30/3=3d/3
10=d
=3d+
What is the measure of JKL
Answer:
Did you insert a picture because I cant see one
Find the slope of the line below. *
Answer:
-2
Step-by-step explanation:
Determine the slope for each side of the polygon.
The slope of side wis
The slope of side z is
The slope of side x is
The slope of side y is
Answer:
Slope W is 1/4, Slope Z is -4, Slope X is 1/4, Slope Y is -4
Step-by-step explanation: just did on edg and got it right
Point P'(-3, 2) is the image of point P(3, 8) under a translation. What is the image of (0, -6) under the
same translation?
Answer:
The image of the point (0, -6) under the same translation is (-6, -12)
Step-by-step explanation:
Let us revise the rules of translation
If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)∵ The coordinate of point P are (3, 8)
∵ The coordinates of its image P' are (-3, 2)
→ The x-coordinate is changed from 3 to -3, that means the point
translated to the left by h units
∵ h = -3 - 3
∴ h = -6
→ The y-coordinate is changed from 8 to 2, that means the point
translated down by k units
∵ k = 2 - 8
∴ k = -6
→ By using the rule above
∴ The rule of translation is (x, y) → (x - 6, y - 6)
∵ The coordinates of the point are (0, -6)
∴ The coordinates of its image are (0 - 6, -6 - 6)
∴ The coordinates of its image are (-6, -12)
Will do a brainly! 4/7=18/31.5
Answer:
True
Step-by-step explanation:
4 ÷ 7 = 0.571418 ÷ 31.5 = 0.5714Because they are the same result, the two fractions are equal. Therefore, the equation is true.I hope this helps!
ASAP 50 POINTS Which expression is a sum of cubes? -64x6y12+125x16y3 -32x6y12+125x16y3 32x6y12+125x9y3 64x6y12+125x9y3
Answer:
64x6y12+125x9y3 I think. Hope this helps
Answer:
The answer is D
64x6y12+125x9y3
Step-by-step explanation:
Youre welcome
Completa las siguientes sucesiones y encuentra su regla general. a) -4, -2, 0, ___, ___,... b) -15, -10, ___, ___,... Y su regla general de todas. Por favor ya había dicho que no se muy bien, Por favor es urgente
La sucesión es geométrica ya que cada término se obtiene multiplicando el anterior por una cantidad constante (llamada razón), en este caso 1/2
1 * 1/2 = 1/2
1/2 * 1/2 = 1/4
1/4 * 1/2 = 1/8
La fórmula general en este tipo de sucesiones es?aₙ = a₁ * r ⁿ⁻¹
Donde
aₙ es un término dentro de fórmula general
a₁ es el primer término
r es la razón de la sucesión
n es el índice del término
Con la fórmula podemos obtener los términos que faltan
Término 5
a₅ = 1 * 1/2 ⁵⁻¹
a₅ = 1 * 1/2 ⁴
a₅ = 1 * 1/16
a₅ = 1/16 ======> término 5
Término 8
a₈ = 1 * 1/2 ⁸⁻¹
a₈ = 1 * 1/2 ⁷
a₈ = 1 * 1/128
a₈ = 1/128 =========> término 8
Término 9
a₉ = 1 * 1/2 ⁹⁻¹
a₉ = 1 * 1/2 ⁸
a₉ = 1 * 1/256
a₉ = 1/256 =======> término 9
Study more about GP on https://brainly.com/question/29399287
#SPJ1
Tap the angle that is vertical to angle 4
Answer:
angle four is vertical to angle 2
Answer:
angle 2 is vertical to angle 4
Slope of a vertical line that goes through the point (6,-5)
I will mark as brainliest if i figure out how to, if I get a answer. Sorry for the way my teacher wrote this idk if she was high or something-
Matt has a total of $650.00 in his bank account.
If he earns 15% interest every year,
how long will he have to leave his money in the account
to earn $195.00 in interest? SI= prt
$195= 650 (.15) t
put in #s $195= 97.5 t
Solve for t , by dividing both sides by 97.5 ------ = -------
97.5 97.5
_______= time in years
Answer:
2 years
Step-by-step explanation:
This is simple interest: i = p*r*t, where p is the principal, r is the annual interest rate as a decimal fraction and t is the number of years. Here:
i = $195.00 = ($650.00)(0.15)t, or
$195.00
t = ------------------------ = 2 years
(0.15)($650.00)
The number of chirps per minute, C, that the tree cricket makes is linearly dependent on the temperature, T, in Fahrenheit. The crickets do not chirp at all at 45 degrees and at 75 degrees they chirp about 126 times per minute. A) Express the number of chirps, C, in terms of the temperature, T. C= B) How many chirps per minute will crickets make at 90 degrees? chirps per min.
Answer:
The answer is below
Step-by-step explanation:
A linear equation is represented by the equation y = mx + b, where m is the rate of change, b is the value of y at x = 0, y is a dependent variable and x is an independent variable.
a) Given that number of chirps per minute, C is dependent on the temperature, T, when T = 45 degrees, C = 0, this can be represented as (45, 0).
Also at 75 degrees, C = 126 it can be represented as (75, 126).
Using (45, 0) and (75, 126), we can determine the equation of the line from:
[tex]C-C_1=\frac{C_2-C_1}{T_2-T_1}(T-T_1)\\ \\C-0=\frac{126-0}{75-45}(T-45)\\ \\C=4.2(T-45)\\\\C=4.2T-189\\\\[/tex]
b) At t = 90°:
C = 4.2(90) - 189
C = 189 chirps per min
a. The expression of the number of chirps should be C = 4.2T - 189
b. The number of chirps per minute should be 189 chirps per min.
Calculation of an expression & number of chirps:Since The crickets do not chirp at all at 45 degrees and at 75 degrees they chirp about 126 times per minute.
So, here we used (45, 0) and (75, 126), we can measure the equation of the line from
[tex]C- C_1 = \frac{C_2-C_1}{T_2-T_1} (T_2 - T_1)\\\\C- 0 = \frac{126-0}{75-45} (T - 45)\\\\[/tex]
C = 4.2(T - 45)
C = 4.2T - 189
b. When T = 90 degrees
So,
C = 4.2(90) - 189
= 189 chirps
Learn more about temperature here; https://brainly.com/question/18250055
Mikael runs with a speed of 3 m/s for 45 seconds. How far does Mikael run?
Answer:
135 meters
Step-by-step explanation:
-0.6 repeating terminating or neither
Answer:
Repeating.
Step-by-step explanation:
four equal circles are described about the corner of a square so that each touch the two of the other. find the area of the part of the square enclosed by the circle is the side of a square 14cm.
those who give me answers I give you 100 points and mark as brainlist answers
Answer:
42.06cm²
Step-by-step explanation:
Answer:
42.06cm²
Step-by-step explanation:
I can't find the tape diagram from my work but I know is 42.06cm²
Thank you
what does 256 to the power of 0 equal too?
Answer:
1
Step-by-step explanation:
Anything to the power of 0 is 1
Hope I helped :)
Please consider Brainliest :)
what is the answer to this question
Answer:
F
Step-by-step explanation: c=0.10m+30
Plzz give me brainliest
You want to order Chiken nuggets for you and your friends . You want to know how much to pay for 5 orders of chicken nuggets if each order is$2
Answer:
10$
Step-by-step explanation:
just because
Answer:
$10
Step-by-step explanation:
What we know: you want to pay for 5 order of chicken nuggets.
Each order is $2
So...
5 orders of nuggies × $2
Total: $10 for nuggies
The graph shows the savings in Andres bank account what is the slope of the line
May anyone please help me?
Answer:31
Step-by-step explanation:
k(10)=-3(10)+1
10k=31
k=3.1
3.1(10) =31
Find the next three terms in the arithmetic sequence: -33, -24, -15, -6,
step by step u get 13 points
Answer:
3
Step-by-step explanation:
-33+9=-24
-24+9=-15
-15+9=-6
-6+9=3
Answer:
3, 12, 21
Step-by-step explanation:
-33+9=-24
-24+9=-15
-15+9=-6
-6+9=3
3+9=12
12+9=21
nya wants to hang a a 4 feet and 4 inches above the floor. how many inches above the floor dose she want to hang the picture?
Answer:
52 feet long. i think... you might wany to double check that
The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30
cm, find its length. Also find the area of the rectangle.
Answer:
The length is 35cm and the area is 1050cm^2
Step-by-step explanation:
The perimeter of a rectangle is all of the side lengths added together. "Breadth" is your width. So 2 x 30 + 2 x some length is your perimeter. Mathematically this can be represented as:
[tex]60+ 2x=130[/tex]
[tex]2x=70[/tex]
[tex]x=35[/tex]
For the area multiply 30 by 35
[tex]30*35=1050[/tex]
And your answer for the area is in cm^2
(14, -8 ) and (7, -6)
Answer:
-0.28
Step-by-step explanation:
(-6)-(-8)=2.
7-14=-7
2/-7=-0.28
