9514 1404 393
Answer:
∠QPS = 101°
∠PSR = 79°
Step-by-step explanation:
The marked angles are called "same-side interior angles" or "consecutive interior angles". By either name, they are supplementary.
(2k +89) +(3k +61) = 180
5k +150 = 180 . . . . . . . . . collect terms
5k = 30 . . . . . . . . . subtract 150
k = 6 . . . . . . . divide by 5
Then the angles are ...
∠QPS = (2·6 +89)° = 101°
∠PSR = (3·6 +61)° = 79°
Answer:
∠QPS = 2 x 6 + 89 =101°
∠PSR = 3 x 6 + 61 =79°
Step-by-step explanation:
∠QPS and ∠PSR are consecutive interior angles, they are supplementary
(2k+89) + (3k+61) = 180
5k + 150 = 180
5k = 180-150 = 30
k = 6
∠QPS = 2 x 6 + 89 =101
∠PSR = 3 x 6 + 61 =79
The area of a rhombus is 16 cm 2 . If the length of one diagonal is 4 cm, find the
length of the other diagonal.
Answer: The length of the other diagonal is 8 cm.
Step-by-step explanation:
Area of rhombus = [tex]\frac{pq}{2}[/tex]
[tex]\frac{4q}{2} =16\\[/tex]
[tex]4q = 32\\q = 8\\[/tex]
The length of the other diagonal is 8 cm.
For what values of r will the area of
the shaded region be greater than or equal to
12 square units?
cqn you answer this one ps
Answer:
i think its a but im not sure and i dont know how to explain it
Do the ratios 3:7, and 12:21 form a proportion?
yes
no
Answer:
no
Step-by-step explanation:
3:7 *4=12:28
3:7*3=9:21
They both can not equal 12:21
Yes, the given ratios 3:7 and 12:21 are in proportion.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
The given ratios are 3:7 and 12:21.
Here, the proportion is 3:7::12:21
The ratios to in proportions, product of means must be equal to product of extremes.
3×21=7×12
3×7=7×3
21=21
Yes, the given ratios are in proportion.
To learn more about the proportions visit:
https://brainly.com/question/7096655.
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I need the answer and how to solve this
Answer:
50
Step-by-step explanation:
Since 140° is on the outside, the angle next to it would be 40°.
Also a triangle = 180°
40° + 90° = 130°
180° - 130° = 50°
Thus meaning x = 50°
Answer:
x = 50°
Step-by-step explanation:
- the angle at the top is shown as a right angle so it is 90°
-the 140° angle and the angle next to it are 180° together so let's name the other angle z
z+140=180
z=180-140=40°
- a triangle's angles in total have 180°
x+y+z= 180°
x+90°+40°=180°
x+130 =180
x= 180-130 = 50°
vous
2v
Next
Probability of Compound Events: Mastery Test
Submit Test
2
Select the correct answer.
A six-sided fair dle and an eight-sided falr die are rolled together. What is the probability of getting numbers whose sum is a multiple of 3?
O A 1/3
O B.
OD.
10) los via
О Е.
Reset
Next
Answer:
I would say A because 6:3 can only equal 1/3.
Step-by-step explanation:
It would help if you formatted a bit better though. As the choices are not clear. ^^
The probability of getting numbers whose sum is a multiple of three is,
⇒ 1 / 3
Since, The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Here, We have;
There are 48 possible outcomes in this situation, and of those outcomes, the ones whose sums are a multiple of three are;
12, 21, 15, 51, 24, 42, 33, 18, 27, 36, 63, 45, 54, 48, 57, and 66.
So, that is 16 out of 48 possibilities,
⇒ 16/48,
⇒ 1/3.
Thus, The probability of getting numbers whose sum is a multiple of three is,
⇒ 1 / 3
Learn more about the probability visit:
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A Belle made 18 out of 20 free
throws. What percent did she make?
PLEASE HELP
Tony is building a dog house, and the front view of the roof is shown below. What is the height of the roof? *
21 inches
27.5 inches
9 inches
19.8 inches
Explain how to do this
Answer:
90°
Step-by-step explanation:
Since, all sides of the given quadrilateral are equal. Therefore it is rhombus.
Diagonals of a rhombus bisects at right angles.
So, x = 90°
It is given by the formula ph=-log[h+] find the ph of each substance. A)baking soda:[H+]=10^-8 per liter
Answer:
pH = 8
Step-by-step explanation:
Formular is given as;
pH = -log[H+]
A)baking soda:
[H+] = 10^-8
Upon inserting it into the formular;
pH = -log (10^-8)
pH = - ( -8)
pH = 8
A train traveled 1360 miles in 16 hours. What was the average speed of the train in miles per hour?
Answer:
85 miles per hour
Step-by-step explanation:
What is the coefficient of the variable in the expression 6 - 4x - 8 +2
A. 6
B. 2
C. -4
D. -8
Answer:
d
Step-by-step explanation:
a bottle contains 3/4 gallon of fruit punch. If 6 people share the fruit punch equally, how much fruit punch does each get
Answer:
1/8 gallon of fruit punch
Step-by-step explanation:
there is 3/4 of a gallon divided equally among 6 people,
divide 3/4 by 6
3/24 = 1/8
express:50000000 in exponeutialform
Answer:
5^7
Step-by-step explanation:
Answer:
It is 5^7
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
3. Problema 2: Suponga que un fabricante de radios tiene la función de costo total C (x) = 43x + 1850 dólares y la función de ingreso R (x) = 80x dólares. Donde "x" es el número de radios fabricados y vendidos. Halle:
Responder:
$ 11,137
Explicación paso a paso:
Como no se nos dice qué encontrar, también podemos encontrar el beneficio obtenido por la venta de 351 unidades de radio.
Dado
Función de costo C (x) = 43x + 1850
Función de ingresos R (x) = 80x
Obtener la función de ganancias
P (x) = R (x) - C (x)
P (x) = 80x - (43x + 1850)
P (x) = 80x - 43x - 1850
P (x) = 37x - 1850
Si se fabrican 351 radios, la ganancia obtenida se calculará como se muestra a continuación:
P (351) = 37 (351) - 1850
P (351) = 12,987-1850
P (351) = 11,137
Por lo tanto, la ganancia obtenida de las ventas de 351 radios es de $ 11,137
What is the LCD of 2
−1
and 3
+1
?
Answer:
Step-by-step explanation:
What is the least common denominator of 1/3 and 1 2?
The denominator of the largest piece that covers both fractions is the least common denominator (LCD) of the two fractions. So, the least common denominator of 12 and 13 is 6 .
3х – 6 = 4 (2 - 3х) — 8x
what is x?
Answer:
x = 2/5 or 0.4
Step-by-step explanation:
3x - 6 = 4(2 - 3x) - 8x
distribute
3x - 6 = 4*2 - 4*3x - 8
3x - 6 = 8 - 12x - 8
combine like terms
3x - 6 = -12x
add 12x to both sides of the equation
3x - 6 + 12x = -12x + 12x
3x - 6 + 12x = 0
15x - 6 = 0
add 6 to both sides of the equation
15x - 6 + 6 = 0 + 6
15x = 6
divide both sides of the equation by 15
15x/15 = 6/15
x = 6/15
x = 2/5
x = 0.4
Help pls this assignment has to be turned in by today
Answer:
v = 21
Step-by-step explanation:
the sum of the interior angles of a triangle is 180 degrees
add all 3 angle measures and set equal to 180:
4v + 2v + 54 = 180
6v = 126
v = 21
Use the order of operations to evaluate the expression below.
5+7 • 2-90 + 3+ 8 - 1
Answer: 5+7=12
2- 90 + 8 -1 = -81
Step-by-step explanation:
Use the Distributive Property to write an equivalent expression for 5(4+7x).
Answer: 5(4+7x) = 20 + 28x
Step-by-step explanation: Multiply each of the terms in the parentheses by 5.
HELP does anyone get these three questions?
Step-by-step explanation:
since we have the relation (inches/dollars)
4.3 inches down per dollar
per 10 dollars 43 inches down
per half a dollar 2.15 inches down
per 63.60 dollars 273.48 inches down
A photograph measuring 4 inches wide and 5 inches long is enlarged to make a wall mural. If the mural is 82 inches wide, how long is the mural?
help i will give points
Represent each sum as a single rational number.
Answer:
-14+(-8/9)= -14.8
7. What number multiplied by 2/3 has a product
of 1? (Example 2)
Answer:
4/6 is the answer due to the way it is set up within the fraction
Simplify an expression for the perimater of the equilateral triangle shown blown
Answer:
5.25x-6
Step-by-step explanation:
3 + 15 ÷ 3 × 5 – 2
please answer this im to lazy
another question ...
Answer:
x is adding 2 and y is subtracting 4
+2/-4
Step-by-step explanation:
i looked at the graph.
2x=-4y
Every X value goes up 2 while every Y value declines 4.
can you guys help me please
Answer:
C. 2(6)-2x=3
Step-by-step explanation:
You distribute the 2 to the 6 and then to the negative x
2 x 3x=
2x2=
__+___=
Answer:
1)6x
2)4
3)6x+4=2(3x+2)
Step-by-step explanation:
What is the answer please I need emergency help I will mark you as brainlist ✨
Answer:
A. 3.7, because |3.7| = 3.7
Step-by-step explanation:
What the question is referring her by magnitude is units away from 0. 3.7 is 3.7 units away from 0, which is the same thing as the absolute value of 3.7. And since absolute value is always positive, C is already out. D is also out as the value doesn't change. B's reason contradicts the answer, so it is also wrong. This leaves A (3.7, because |3.7| = 3.7) as our answer.