Answers
Answer:
d° = 62°
e° = 90°
f° = 27°
g° = 27°
h° = 118°
j° = 62°
k° = 63°
Step-by-step explanation:
The relationship between the given angles are;
k° = 63° (Vertically opposite angles)
63° + f° = 90° (Given complementary angles)
∴ f° = 90° - 63° = 27°
f° = 27°
g° = f° (Vertically opposite angles)
∴ g° = f° = 27°
g° = 27°
e° + 63° + f° = 180° (The sum of angles on a straight equals 180°)
∴ e° = 180° - (63° + r°) = 180° - (63° + 27°) = 90°
e° = 90°
h° = 118° (Vertically opposite angles)
118° + d° = 180° (The sum of angles on a straight equals 180°)
∴ d° = 180° - 118° = 62°
d° = 62°
j° = d° (Vertically opposite angles)
∴ j° = d° = 62°
j° = 62°
Related Questions
How do you know
the quotient of 639 /
6 is greater than
100 before you actually divide
Answers
Answer:
because since the question is 639 / 6
we immediately know that 600 / 6 is 100
639 / 6 = 106.5
Answer:
You just need a little conversion to get the answer.
[tex]\frac{639}{6}=\frac{600}{6}+\frac{39}{6}\\ = 100+\frac{39}{6} >100[/tex]
Animal Nutrition Kevin's dog Amadeus likes two kinds of canned dog food. Gourmet Dog costs 40 cents a can and
has 20 units of a vitamin complex; the calorie content is 75 calories. Chow Hound costs 32 cents a can and has 35 units of vitamins and 50 calories. Kevin likes Amadeus to have at least 1175 units of vitamins a month and at least
2375 calories during the same time period. Kevin has space to store only 60 cans of dog food at a time. How much of each kind of dog food should Kevin buy each month to minimize his cost?
Answers
Answer:
The answer should be 15 cans GD and 25 cans CH
Step-by-step explanation:
PLEASE I NEED THE ANSWER NOW 11 POINTS FOR CORRECT ANSWER BRAINLIEST TOO
Answers
Answer:
I believe its 3.3m
Step-by-step explanation:
I haven't taken geometry in a few years so sorry if its wrong
This means that the shadow of the tree is x7.3 bigger than the cat’s shadow.
So you do 0.45x7.3=3.28m (you can round it to 3.3m)
This means the height of the tree is 3.3m!
please help if your able to (:
Answers
Answer:
4/9
Step-by-step explanation:
(2/3)^2 is another way of writing:
2/3*2/3
Which is 4/9
Hope this helps
Answer:
2/3*2/3 4/3
Step-by-step explanation:
The candy of a lolipop is in the shape of a sphere with a diameter of 4 cm. The
cylindrical stick inside the candy is the same height as the sphere and has a radius of
0.5 cm. What is the composite volume of the candy? Round to the nearest tenth, if
necessary.
Answers
-extra points- please help with this. all you have to do is state which method (factoring, using square roots, complete the square or quadratic formula) you would use in solving the quadratic equation and why you would use it. you can only use each method once for problems A through D
Answers
Answer:
Step-by-step explanation:
Can someone please answer my question Geometric Sequence:
3, 6, 12, 24, …
Answers
Answer:
48
Step-by-step explanation:
You multiply by 2 each time
I believe it is multiplying by 2 each time.
3 x 2 = 6
6 x 2 = 12
12 x 2 = 24
So if this was true to continue we would just multiply by 2....
24 x 2 = 48
48 x 2 = 96
96 x 2 = 192
192 x 2 = 384
384 x 2 = 768
and continue for as long as you need to go....
Hope this helped!Gabby has $1,506 in a savings account that pays 2.5% simple interest. How much interest will she earn in 3 years?
Answers
Answer:
$112.95
Step-by-step explanation:
Use the simple interest formula, I = prt
Plug in the initial amount, interest rate, and number of years
I = prt
I = (1506)(0.025)(3)
I = 112.95
So, the interest created in 3 years is $112.95
I = (1506)(.025)(3)
I = 37.65 (3)
I = $112.95
2,6,18,54 what is the 10th term of the sequence
Answers
Answer:
78
Step-by-step explanation:
I'm really good at these
Answer:
Step-by-step explanation:
This is a geometric sequence with common ratio 3.
10th term = (4th term)×3¹⁰⁻⁴ = 54×3⁶ = 39366
Can someone please help me solve these?
Answers
9514 1404 393
Answer:
(c) h(x) = (3x +4)(2x +1)
Step-by-step explanation:
The answer choices differ in the values they create for the last two terms of the trinomial. The last term (+4) is created by all of the choices except the first one.
The middle term (11x) is only created by the third choice:
(3x +4)(2x +1) = (3x)(2x) +(3x)(1) +(4)(2x) +(4)(1)
= 6x^2 +3x +8x +4
= 6x^2 +11x +4 . . . . matches the given h(x)
Subtract (-3f - 4g + 9) - (2 - 6f + 5g).
Answers
Answer:
Step-by-step explanation:
Remove the brackets. Watch out for that minus sign. It affects all three terms in the right bracket.
(-3f - 4g + 9) - (2 - 6f + 5g)
-3f - 4g + 9 - 2 + 6f - 5g
+3f - 9g + 7 is your answer.
Answer:
3f−9g+7
Step-by-step explanation:
(−3f−4g+9)−(2−6f+5g)
To find the opposite of 2−6f+5g, find the opposite of each term.
−3f−4g+9−2−(−6f)−5g
The opposite of −6f is 6f.
−3f−4g+9−2+6f−5g
Subtract 2 from 9 to get 7.
−3f−4g+7+6f−5g
Combine −3f and 6f to get 3f.
3f−4g+7−5g
Combine −4g and −5g to get −9g.
3f−9g+7
HELP ASAP PLS PLS PLS
Answers
Answer: vertical
Step-by-step explanation:
Answer: its A
Step-by-step explanation:
Find the missing value to the nearest hundredth.
Cos = 5/36
Answers
Answer:
Step-by-step explanation:
"cos" by itself is meaningless. It needs an argument.
cos(x°) = 5/36
x° = arccos(5/36) ≅ 82.2°
help mee pleaseeeeeeas
Answers
Answer:
Step-by-step explanation:
Volume = 1/2 a * b*h
So
V= 1/2 (9)(6)(21)= 567 us ^3
Which is heavier, 4 and a half pounds or 80 ounces
Answers
Answer:
80 ounces is heavier by 8 ounces or half a pound
Step-by-step explanation:
1 pound = 16 ounces
4.5*16= 72 ounces
Please answer ASAP i need this immediately
Answers
Answer:
2/3 is less than 1 1/15
Step-by-step explanation:
2/3 * 1 3/5 = 1 1/15
2/3 < 1 1/15
Answer:
>
Step-by-step explanation:
2 over 3 is less than 1 and 3 over 5
Factorize completely
80p2 - 180r2
Answers
Answer:
80p2 - 180r2
20(4p²-9r²)
20(2p+3r)(2p-3r)
Answer:
20(2p - 3r)(2p + 3r)
Step-by-step explanation:
Given
80p² - 180r² ← factor out 20 from each term
= 20(4p² - 9r²) ← difference of squares which factors in general as
a² - b² = (a - b)(a + b)
4p² - 9r²
= (2p)² - (3r)² ← with a = 2p and b = 3r
= (2p - 3r)(2p + 3r)
Thus
80p² - 180r² = 20(2p - 3r)(2p + 3r) ← in factored form
Please solve needed as soon as possible thank you I really appreciate it
Answers
Answer:
143
Step-by-step explanation:
Substitute n=3 into the problem
6([tex]3^{3}[/tex])-2([tex]3^{2}[/tex]) +3-4
Then figure out squared and power by 3
6(27)-2(9)+3-4
Next multiply
162-18+3-4
Finally, add and subtract
144+3=147
147-4=143
Will mark brainliest if ur right! if not, u wont get it.
Answers
Answer:
(-4,4)
Step-by-step explanation:
I believe that's it
Porqué el valor del coeficiente de la variable al cuadrado de una función cuadratica no puede ser cero?
Answers
Answer:
Ver respuesta abajo
Step-by-step explanation:
Una ecuación cuadrática es una ecuación que tiene la siguiente forma:
ax² + bx + c = 0
Donde:
a, b y c: coeficientes numéricos que acompañan a la incógnita.
Ahora bien, una función cuadrática es basicamente la misma ecuación cuadrática pero representada graficamente en un plano cartesiano.
Para que una ecuación o función sea cuadrática es absolutamente necesario y obligatorio que su expresión en forma de ecuación tenga el elemento "ax²", pues el "cuadrado" que es el exponente 2 que eleva la incógnita es lo que le da la característica de ecuación o función cuadrática.
Si el coeficiente que acompaña al x², es decir, el valor de a es cero, automaticamente pierde la condición de ser una función o ecuación cuadrática pues dicho término se hace cero su valor. En otras palabras, si x es un número cualquiera y está representado como incógnita, ¿qué sucede cuando multiplicas cualquier número por cero?, en este caso, el resultado es igual a cero:
Ejemplo:
0x² = 0 * x² = 0.
Por tanto, si el término cuadrático se hace cero, ya pierde la condición de cuadraticidad, y su gráfico no sería de forma parabólica, solo quedaría los términos bx + c, pero eso ya pertenece a una ecuación lineal o función afín.
Espero esto te sirva.
For what value of x does f(x) = -3? *
.
Answers
Answer:
3
Step-by-step explanation:
An older person is 4 years older than 7 times the age of a younger person. The sum of their ages is 44. Find their ages
Answers
Answer:
5 yr and 39 yr
Step-by-step explanation:
Let x = the age of the younger
then 7x + 4 = the age of the older
Now x + 7x + 4 = 44
8x + 4 = 44
8x = 40
x = 5
7x + 4 = 7(5) + 4 = 35 + 4 = 39
Check: 5 + 39 = 44
Find the area of an equilateral triangle with side length 9.2 cm. Round your answer to 1 DP.
Answers
Answer:
Area=36.66 cm^2
Step-by-step explanation:
First, you need the height.
Use the Pythagorean theorem:
hypotenuse^2=height^2+(1/2 base)^2
It's one-half base because it's an equilateral triangle.
1/2 base =4.6
(9.2)^2-4.6^2=height^2
84.64-21.16=height^2
height^2=63.48
height=7.97
Area=(1/2)(base)(height)
Area=(1/2)(9.2)(7.97)=36.66 cm^2
Is the ordered pair (4,-3) a solution for the following system of linear inequalities?
x+y<+1 y<5x-2
Answers
Answer:
no
Step-by-step explanation:
(4, -3) when plugged into the inequality x + y < 1 is not true
4 + (-3) < 1 is not true because 1 is not less than 1
Roger jarred 15 liters of jam after 2 days. How much jam did Roger jar if he spent 6 days making jam?
Answers
Answer: 45 liters
Step-by-step explanation:
If Roger jars 15 liters of jam in 2 days, we can divide to see how much liters of jam Roger can jar in 1 day. We can divide 15 by 2 to find how much jam can be jarred in one day.
15 / 2 = 7.5.
Roger can jar 7.5 liters of jam every day.
Now we can multiply 7.5 by 6 to find how much jam Roger can jar at the end of 6 days.
7.5 x 6 = 45.
Therefore, Roger can jar 45 liters of jam in 6 days.
shine sold two tables at 9900 rupees each.he got 10% profit in one sale and 10% loss in the other.did the total sale result in a profit or loss? what percentage? please give me step by step explanation
Answers
the total sale was neither a profit nor loss , 0%
Step-by-step explanation:
1st table :
100%-> 9900
110%-> 10890
10890-9900=990(earned)
------------------------------------------
2nd table :
100%->9900
90%-> 8910
9900-8910=990(lost)
990-990=0
hence the total sale was neither a profit nor loss , 0%
Help me find y intercept, slope, and linear function
Answers
Answer:
y=5 m=3
Step-by-step explanation:
i mean it shows you the y intercept and the slope and the linear function all in that one picture
Answer:
y-intercept = 5
slope = -1/3
Step-by-step explanation:
Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year?
16
17.5
20.5
22
35
Answers
Answer:
16 million
Step-by-step explanation:
see the explanation attached above
Linear system
x-y=9
X+2y=27
Answers
15-6=9
15+2(6)=27
2(6)=12
- 10x - 5y = 5 - 4x + 5y = 23