Answers
======================================================
Explanation:
The given exterior angle 97 is adjacent to the interior angle 180-97 = 83. This is the base angle of the isosceles triangle. The other base angle is directly above it. The base angles are always opposite the congruent sides.
The missing interior angle (adjacent to the blue angle x) is unknown, so we'll call it angle y. This angle adds to the other two base angles (83 each) to get a sum of 180. Adding any three interior angles of a triangle always gets you 180
y+83+83 = 180
y+166 = 180
y = 180-166
y = 14
Angle x and y are supplementary. They form a 180 degree angle
x+y = 180
x = 180-y
x = 180-14
x = 166
As you can see, the base angles combine to form the exterior angle we're after. This is because of the remote interior angle theorem.
Related Questions
The entire group your sample is attempting to describe is known as the ____________.
A. population
B. subgroup
C. census
D. organization
Answers
Answer:
Population
Step-by-step explanation:
A.
A population is the entire group that is being studied while a sample is a subset of the population that is being studied.
What is the value of the expression 3y−z
y+5z
when y = 6 and z = 2?
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{Question \#1}[/tex]
[tex]\huge\textsf{3y - z}[/tex]
[tex]\huge\textsf{= 3(6) - 2}[/tex]
[tex]\huge\textsf{= 18 - 2}[/tex]
[tex]\huge\textsf{= 16}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: 16}}}\huge\checkmark[/tex]
[tex]\huge\text{Question \#2}[/tex]
[tex]\huge\textsf{y + 5z}[/tex]
[tex]\huge\textsf{= 6 + 5(2)}[/tex]
[tex]\huge\textsf{= 6 + 10}[/tex]
[tex]\huge\textsf{= 16}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: 16}}}\huge\checkmark[/tex]
[tex]\huge\textsf{\boxed{\star\underline{\underline{16 = 16}}\star}\star}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
i need help with this question
Answers
Answer:
1000ml
Step-by-step explanation:
4 days she drank ½ of the bottle
so she drank ⅛ l of juice everyday
so
1000ml is the answer
4.
1 point
A recipe that serves 6 calls for 4 ounces of tomato sauce. Compute
the amount of tomato sauce necessary to serve 8 people. Round your
answer to the nearest ounce
Answers
========================================================
Work Shown:
(6 servings)/(4 oz of sauce) = (8 servings)/(x oz of sauce)
6/4 = 8/x
6*x = 4*8
6x = 32
x = 32/6
x = 5.333 approximately
x = 6 we round up despite 5.333 being closer to 5, than it is to 6.
If we went with 5 ounces, then we wouldn't clear the hurdle needed to serve 8 people.
The section below goes over why this is the case in more detail.
---------
6 servings : 4 ounces
6/4 servings : 4/4 ounces
1.5 servings : 1 ounce
So one ounce of sauce gets us 1.5 servings.
If we multiply both sides by 5, then,
1.5 servings : 1 ounce
5*1.5 servings : 5*1 ounce
7.5 servings : 5 ounces
This shows that 5 ounces of sauce will only produce 7.5 servings, which comes up short compared to 8 servings.
If we multiplied both sides by 6, then
1.5 servings : 1 ounce
6*1.5 servings : 6*1 ounce
9 servings : 6 ounces
This shows that 6 ounces of sauce yields 9 servings. We've gone overboard, but it's better to do that than come up short.
Find the slope of the line passing through the points (-9, -3) and (7,-7).
DI
DD
Undefined
$
?
Answers
Answer:
-1/4
Step-by-step explanation:
Slope = y/x - y1/x1
=> -7/7 - (-3/-9)
=> -7 +3 / 7+9
=> -4/16
=> -1/4
The slope for the given coordinates of points is -1/4.
What is the slope of straight line?The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.
The negative slope indicates the rate of decrease while the positive shows the rate of increase.
The given points are (-9, -3) and (7,-7).
The general expression to find the slope for two points (x₁, y₁) and (x₂, y₂) is given as,
m = (y₁ - y₂)/(x₁ - x₂)
Plug (x₁, y₁) = (-9, -3) and (x₂, y₂) = (7, -7) to get,
⇒ m = (-3 + 7)/(-9 - 7)
⇒ -1/4
Hence, the slope is obtained as -1/4.
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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Evaluate the following expression.
"the quotient of 18 and 2"
A. 1/9
B. 9
C. 16
D. 20
Answers
Answer:
B) 9
Step-by-step explanation:
Quotient means that it’s for DIVISION. The 18 is the dividend, 2 is the divisor, and the quotient is the answer:
Dividend ÷ Divisor = Quotient
18 ÷ 2 = 9
BRAINLIEST, 5 STARS AND THANKS IF ANSWERED CORRECTLY.
How many real solutions does the equation 2p^2 + 9p - 7 = 0 have?
A. 0
B. 1
C. 2
D. 3
Answers
Answer:
C
Step-by-step explanation:
Determine the nature of the solutions using the discriminant
Δ = b² - 4ac
• If b² - 4ac > 0 then 2 real and distinct solutions
• If b² - 4ac = 0 then 2 real and equal solutions
• If b² - 4ac < 0 then no real solutions\
Given
2p² + 9p - 7
with a = 2, b = 9, c = - 7 , then
b² - 4ac = 9² - (4 × 2 × - 7) = 81 +56 = 137
Since b² - 4ac > 0 then there are 2 real solutions → C
Answer:
C. 2
Step-by-step explanation:
2p² + 9p - 7 = 0
p = {-9±√((9²)-(4*2*-7))} / (2*2)
p = {-9±√(81+56)} / 4
p = {-9±√137} / 4
p = {-9±11.7} / 4
p₁ = {-9-11.7} / 4 = -20.7/4 = -4.55 aprox.
p₂ = {-9+11.7} / 4 = 2.7/4 = 0.67 aprox.
This equation have 2 real solutions:
-4.55 aprox.
0.67 aprox.
Margo bought the following lengths of ribbon: 3/4 yd, 1/3 yd, 1/2 yrd. How much ribbon did she buy?
Answers
Answer:
she bought 19/12 lengths of ribbon or aka 1 7/12
Step-by-step explanation:
3/4 + 1/3 + 1/2 = 13/12 + 1/2
13/12 +1/2 = 19/12
19/12 simplify is 1 7/12
Margo bought [tex]1\frac{2}{3}[/tex] yards of ribbon.
What is a fraction ?A fraction represents how much part of total quantity is present.Fractions are of two types proper fraction and improper fraction.
According to the question given Margo bought some ribbons of length 3/4 yd, 1/3 yd and 1/2 yd.
To find the total ribbon she bought in yards we have to take the sum of all the fractions.
∴ (3/4) + (1/3) + (1/2) yards.
Now to sum these fractions we have to take LCM of the denominators which is 12.
So, { (3×3) + (1×4) + (1×6) }/12.
= (9 + 4 + 6)/12.
= 19/12 or 1 whole 2/3 yards of ribbon.
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Please help ! First one to give correct answer gets brainliest!
Answers
Answer:
(4x+1)²
Step-by-step explanation:
Jessie has some nickels, dimes, and quarters in her bank. The number of coins is 30. The expression 0.05n + 0.10d + 0.25q represents the value of the coins, which is $3.45. Jessie has five more nickels than she does quarters. How many of each coin does Jessie have?
Answers
Answer:
n = 12 nickels
d = 11 dimes
q = 7 quarters
Step-by-step explanation:
.05n + .1d + .25q = 3.45
n + d + q = 30
n = q + 5
n = 12
d = 11
q = 7
simplify 2- 5/8 and -2 3/5 A. -6 33/40 B. 4- 3/8 C. 4 3/8 d. 6 33/40
Answers
Answer:
Step-by-step explanation:
Convert mixed fraction to improper fraction.
[tex]-2\dfrac{5}{8}*(-2\dfrac{3}{5})=\dfrac{-21}{8}*\dfrac{-13}{5}\\[/tex]
[tex]=\dfrac{(-21)*(-13)}{8*5}\\\\\\=\dfrac{273}{40}\\\\=6\dfrac{33}{40}[/tex]
The area of a circular rose garden is 44 square meters. What is the radius of the garden? Remember a=πr^2. Use π=22/7
Answers
Answer:
If the area of a circular rose garden is 44 square meters, then we can write:
44 = πr^2
And since π is equal to 22/7, we have:
44 = 22/7(r^2)
Multiply both sides by 7/22 to cancel the 22/7:
14 = r^2
And finally, we see that the radius of the garden is:
[tex]\sqrt{14}[/tex]
Let me know if this helps!
Answer:
r = sqrt(14)
Step-by-step explanation:
The area of a circle is
A = pi r^2
44 = 22/7 * r^2
Multiply each side by 7/22
44 * 7/22 = 22/7 * 7/22 r^2
14 = r^2
Take the square root of each side
±sqrt(14) = r
The radius must be a positive length
r = sqrt(14)
someone help me really quick
Answers
Answer:
u^18
Step-by-step explanation:
(u^3)^6
=
u^(3*6)
=
u^18
Hope this helps!
factorise: 2x² - x - 3
Answers
Answer:
(2x-3)(x+1)
Step-by-step explanation:
2x²-x-3
(2x-3)(x+1)
Step-by-step explanation:
jdyxgxismsm? Juebzbijbs sbj? {![%°%=%℅%ש™${$[$¢
if f(x+1)=3x+4,find f(x) and f(3).
Answers
f(x+1)=3x+4
Let y be x+1 So x=y-1[tex]\\ \sf\longmapsto f(y)=3(y-1)+4[/tex]
[tex]\\ \sf\longmapsto f(y)=3y-3+4[/tex]
[tex]\\ \sf\longmapsto f(y)=3y+1[/tex]
[tex]\\ \sf\longmapsto f(x)=3x+1\checkmark[/tex]
[tex]\\ \sf\longmapsto f(3)[/tex]
[tex]\\ \sf\longmapsto 3(3)+1[/tex]
[tex]\\ \sf\longmapsto 9+1[/tex]
[tex]\\ \sf\longmapsto 10[/tex]
A herd of cows gives 4 litres of milk each day. But each cow gives one-third of total milk
each day. They give 24 litres milk in six days. How many cows are there in the herd?
Answers
Answer:
4 divided by one third then you take the answer and divide it with 24
hope i could help
Which of the following statements is true according to the measurements in the diagram?
Answers
Let's look at the corresponding ratios:
[tex]\frac{AB}{ED}=\frac{24}{30}=\frac{4}{5}\\
\frac{BC}{DC}=\frac{16}{20}=\frac{4}{5}\\
\frac{AC}{EC}=\frac{21}{28}=\frac{3}{4}\\[/tex]
And we see that the three aren't equal.
Hence, $\Delta ABC$ and $\Delta EDC$ are not similar.
Answer:
°[Option 3] => Triangle ABC and Triangle EDC are not similar
Step-by-step explanation:
The angles nor the sides are congruent in this image.
Please mark Brainliest
kinda confused buttttt anyone know this?
Answers
Answer:
Hey there!
The overlapping part is the product.
Thus, the product is 1/8.
Hope this helps :)
Help need work shown ASAP
Answers
Answer:
y = 2x + 1
Step-by-step explanation:
From the table attached,
x y Difference [tex][d=(y_2-y_1)][/tex]
-1 -1 -
0 1 1 - (-1) = 2
1 3 3 - 1 = 2
2 5 5 - 3 = 2
Since,there is a common difference 'd' = 2
Therefore, this table represents a linear equation.
Let the equation is,
y = mx + b
where 'm' is the slope and 'b' is the y-intercept.
Two points lying on the linear equation are (-1, -1) and (0, 1)
Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{1+1}{0+1}[/tex]
m = 2
And y-intercept 'b' = 1 unit
Therefore, equation of the line will be,
y = 2x + 1
Los científicos dicen que el universo fue por el big bang pero yo tengo una teoría
Mi teoría es
Que el universo no se creó siempre a estado siempre estuvo y siempre estará, que el universo no tienen edad que el universo es infinito y siempre lo será esa es mi teoría un poco corta
Answers
Answer yo mbitaen digo lo mismo el universo siempre a eado hays sn niotrsoss oarlo
bet
Step-by-step explanation:
When six basketball players are about to have a free-throw competition, they often draw names out of a hat to randomly select the order in which they shoot. What is the probability that they shoot free throws in alphabetical order? Assume each player has a different name. P(shoot free throws in alphabetical order)=
Answers
Answer as a fraction = 1/720
Answer in decimal form (approximate) = 0.001388
Answer in percent form (approximate) = 0.1388%
========================================================
Explanation:
Let A = 1 to indicate the number of ways to get the names to line up in alphabetical order.
There are B = 6*5*4*3*2*1 = 720 different ways to arrange the six people. Notice how I started at 6 and counted my way down to 1, multiplying all along the way. This can be shortened to factorial notation to say 6! = 720. Or you could use the nPr permutation formula to get the same result (use n = 6 and r = 6).
Once you have the values of A and B, we form the fraction A/B = 1/720 which is the probability of getting the names in alphabetical order.
If you need the answer in decimal form, then use your calculator to find
1/720 = 0.001388
which converts over to 0.1388%
An isosceles triangle has one angle of 30 degrees. Calculate the possible sizes of the other 2 angles
Answers
Answer:
75 and 75
Step-by-step explanation:
Answer:
Hello,
Step-by-step explanation:
2 solutions:
30° is angle of the base: other angle of the base is 30° and the main angle is 180°-30°-30°=120°30° is the main angle, angles of the base are (180°-30°)/2=75° and 75°.HELLLP ASAP FIRST PERSON WITH CORRECT ANSWER WILL RECEIVE BRAINLIEST
Lines l and m are perpendicular. A point Q has this
property: rotating Q 180 degrees using center P has the
same effect as reflecting Q over line m.
a. Give two possible locations of Q.
b. Do all points in the plane have this property?
Answers
Step-by-step explanation:
Rotating Q 180 degrees using the center P has the same effect as reflecting Q over the Line M and this is because Lines L and M are perpendicular lines ( i.e. lines that meet a right angle ( 90° ).
Hence rotating Q 180 degrees form the center will be similar to reflecting Q over any of the perpendicular lines
Pluto is 2.7 times 10 to the power of 9 miles from the sun. Venus is 6.7 times 10 to the power of 7 miles from the sun. How mnay times greater is the distance of pluto to the sun than venus
Answers
Answer:here for the comments
Step-by-step explanation:
Answer:
The answer is 40.3 times greater
Step-by-step explanation:
Question 1 of 10
What was part of President Johnson's plan for Reconstruction?
O A. Land for freedmen
B. Pardons for Confederate leaders
C. Pardons for carpetbaggers
D. Voting rights for freedmen
Joelvin
Answers
Answer:
B
Step-by-step explanation:
Pardons for Confederate leaders
At a frisbee-throwing competition, one contestant threw a frisbee 113.47 meters.
Round the distance to the nearest meter.
Answers
Answer:
113 meters
Step-by-step explanation:
113.47 rounded to the nearest meter is 113.
The distance of frisbee to the nearest meter will be equal to 113 meters.
What is a round of numbers?An integer containing one or more "0"s at the end in a specific base is said to be round. In this way, 590 is more rounded than 592 but less rounded than 600.
A round number is frequently understood to stand for a value or values close to the nominal value expressed in both formal and informal language.
The distance to the nearest meter will be given as below:-
113.47 meters. = 113 meters.
Therefore, the distance of the frisbee to the nearest meter will be equal to 113 meters.
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I need help pls pls pls pls
Answers
Answer:
1. -18x+6
multiply everything inside with the number outside the bracket
2. -18x-6
same as number one
3. 18x-12
same as number one
4. -18x-6
same as number one
for 5 I can't see it well but it should be similar
you just need to substitute what's outside the bracket to what Is inside the bracket
Answer: -6 (3x+1)
Step-by-step explanation:
Factor the polynomial -18x-6−18x−6 by it's GCF: -6−6
Loreto quería decorar un viejo tambor metálico para usarlo de paragüero. Para ello, contaba con un grueso cordón que pretendía pegar en el contorno del borde superior del tambor. Sabiendo que el diámetro de este era 58,5 cm, cortó el cordón, dejando el trozo más largo de 175,5 cm de longitud de modo que le alcanzara justo, pero le faltaron 7 cm. ¿Cuál fue el error de Loreto?
Answers
Answer:
u should put the question in English to so English people can also help
Ethan sells e candy bars for $2.50 apiece and Chloe sells c candy bars for $2.00 apiece to raise
money for a school trip. Ethan sold 15 fewer candy bars than Chloe, but he also got a $6.00
donation. If Chloe and Ethan raised the same amount of money, which of the following systems
could be used to find how many candy bars each sold?
Answers
The system that could be used to find how many candy bars each sold is given is option B.
What is the candy bar about?Since Ethan sold 15 fewer candy bars than Chloe, as portrayed in the question, so:
e = C - 15
Based on the fact that Chloe and Ethan raised the same amount of money, the equation will be:
2C: 2.5e + 6
Therefore, The system that could be used to find how many candy bars each sold is given is option B.
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¿Cuál es el área de un rectángulo, sabiendo que su perímetro mide 24 cm y que su base es el triple de su altura?
Answers
Answer:
El área del rectángulo es:
27 cm²
Step-by-step explanation:
Consideración:
La formula del perímetro de un rectángulo es:
p = 2(altura + base)
Planteamiento:
24 = 2(a+b)
b = 3a
a = longitud de la altura del rectángulo
b = longitud de la base del rectángulo
Desarrollo:
sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:
24 = 2(a + 3a)
24/2 = 4a
12 = 4a
a = 12/4
a = 3 cm
de la segunda ecuación del planteamiento:
b = 3a
b = 3*3
b = 9 cm
Comprobación:
de la primer ecuación del planteamiento:
24 = 2(3+9)
24 = 2*12
Respuesta:
la formula del área de un rectángulo es:
A = base * altura
A = 9cn * 3cm
A = 27cm²
The Area of rectangle is 27 unit².
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Perimeter = 24 cm
let the height of rectangle be x.
then the base= 3x
Now, Perimeter of rectangle= 2 ( l + w)
24 = 2( x+ 3x)
12 = 4x
x= 12/4
x= 3 units
So, length= 9 units and width= 3 units
Thus, Area of Rectangle= l x w
= 9 x 3
= 27 unit²
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The translated Question is:
What is the area of a rectangle, knowing that its perimeter measures 24 cm and that its base is three times its height?