Answers
9514 1404 393
Answer:
x = 20°y = 70°Step-by-step explanation:
The hash marks indicate that the lower triangle is isosceles. That means its base angles are equal. The external angle marked 40° will be the sum of those two equal angles, so ...
x + x = 40°
x = 20°.
x is one of the two acute angles in the right triangle. The other is y, which is the complement of x.
y = 90° -x = 90° -20°
y = 70°
_____
Additional comments
The angle marked 40° is one of a "linear pair". The other angle in that pair is the obtuse angle in the lower triangle. Its measure is 180°-40° = 140°. The two base angles of that isosceles triangle are both x°, so you have ...
x° +x°+140° = 180°
2x° = 180° -140° = 40°
That is, the sum of the two angles will be equal to the external angle marked 40°. The relevant theorem says "an exterior angle is equal to the sum of the remote interior angles." Remembering this is a useful shortcut, so you don't have to find the third interior angle, which is 140° in this case.
Related Questions
Solve pls
for the function -2x²+x+1 find f(3)
Answers
Answer:
f(3) = -14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = -2x² + x + 1
f(3) is x = 3
Step 2: Evaluate
Substitute: f(3) = -2(3)² + 3 + 1Exponents: f(3) = -2(9) + 3 + 1Multiply: f(3) = -18 + 3 + 1Add: f(3) = -15 + 1Add: f(3) = -14
At a sleepover, three friends ate of a pizza. For a snack the next day, the friends
3 of the leftover pizza. What fraction of the pizza was not eaten?
ate
Answers
Answer:
3/8
Step-by-step explanation:
there are 3 friends even if it wasn't evenly eaten there was 3 slices left over which means it's 3/8
Identify the terms, like terms, coefficients,
and constants in 5n - 2n – 3 + n.
Answers
Answer:
5n - 2n - 3 + n
3n - 3 + n
3n + n = 3
4n = 3
N= 4 ➗ 3
N = 1.33
Step-by-step explanation:
y
3
2
c
-4
-3 -2 -1
-1+
1 2 3 4
-2+
-3+
-4+
41
What is the slope of the line?
Answers
Answer:
1
Step-by-step explanation:
(1,1) to (2,2) and (2,2) to (3,3) and so on is (1,1)
PLEASE HELP :((
The MPO team scored the following number of points in their basketball games this season: 23, 30, 18, 34, 43, 29, 29, 37, and 35. What do they need to score in the tenth game to have an average of 30?
Answers
Answer
32 is the answer....
Help I will mark brainliestttt
Answers
Answer:
20
Step-by-step explanation:
5+0.65t=10+0.45t
0.25t=5
t=20
Which number is a reasonable estimate for 637x35?
Answers
Answer:
20,000
Step-by-step explanation:
if you multiply those numbers you get 22,295 which rounds to 20,000
Estimate:
26k
Out of the answer choices you commented on another answer, that's the one I chose.
[2.1 + (9.2 x 3.3)] x 0.8
Answers
Answer:
the answer is 25.96800
P = (12, 4) and M = (-8, 8)
Answers
i need help lol i forgot how to do this
Answers
Answer:
the answer is D because anything with an exponent of 0 is equal to 1
Step-by-step explanation:
I hope this helps :))
The value of (a–1)+92 - +24,5 " when a= 2 and b=-1
Answers
Answer:
256271
Step-by-step explanation:
6165253-6728282-289292
1.) Ivan made a scale drawing of his cell phone using the scale factor 1 mm = 2 in. How long is the drawing of his phone if the actual phones is 8 inches? 21 A recine for rice pudding calls for 2 y cuns of
Answers
Answer:
we love fortnite we love fortnite
we love fortnite
we love fortnite
we love fortnite
we love fortnite
we love fortnite
we love fortnite
we love fortnite
we love fortnite
we love fortnite
we love fortnite
we love fortnite
Step-by-step explanation:
What does 5/12 - 1/3 equal?
Answers
Answer: 1/12
Step-by-step explanation:
5/12 - 1/3
1/3 = 4/12
5/12 - 4/12 = 1/12
please help me with this
answer choice
This system has infinitely many solutions.
This system has exactly one solution.
This system has no solution.
(5, –28) and (0, 0)
Answers
Answer:
the answer is the first one hope this helps
Step-by-step explanation:
help plz answer thank you
Answers
Christine's middle school total of 900 students and 45 teachers. The local high school has 110 teachers and a student-teacher ratio propotional to the middle school's. How many students find when she gets to high school
Answers
Answer:
2,200
Step-by-step explanation:
From the above, we were given that;
Total students in Christine's middle school = 900
Teachers in Christine's middle school = 45 teachers
Local high school = 110 teachers
Then, we can write an equation ratio and solve it.
900 students / X = 45 teachers / 110 teachers
If we cross multiply, we'll get
900 × 110 = 45 × X
45X = 99,000
Divide both sides by 45
45X/45 = 99,000/45
X = 2,200
Therefore, Christine would find 2,200 students when she gets to high school.
Please help!!-help-help
Answers
Answer:
0.5
Step-by-step explanation:
To get the triangle on the right, divide the given sides of the triangle on the left by 2.
5/2 = 2.5
12/2 = 6
So the scale factor is 1/2 or 0.5
Eliza makes handmade ornaments. It takes her 4 hours to make 18 ornaments. How many ornaments can she make in
14 hours?
Answers
Answer: She makes 63 ornaments in 14 hours
Step-by-step explanation:
4 = 18
14 = x
Cross multiplication
4x = 18 x 14
4x = 252
x = 63
Answer:
She can make 63 ornaments in 4 hours
Step-by-step explanation:
she makes 4.5 in a hour so just times that by 14
solve the simultaneous equations
5x-2y=4
3x-6y=6
Answers
x=0.5
y=-3/4
I need help with homework
Answers
Answer:
C
Step-by-step explanation:
Point C is on the x-axis.
Answer:
c
Step-by-step explanation:
the x axis is labeled
x axis is always horizontal (think the horizon)
y axis is always vertical
I need help with this
Answers
Answer:
A is the correct answer mate
Hooke’s Law of Elasticity states that the force applied, y, varies directly with the distance a spring stretches, x (assuming the spring is not stretched past its elastic limit). If a force of 160 newtons stretches a spring 800 cm, how far will a force of 368 newtons stretch the same spring? Justify your answer.
Group of answer choices
F. It will stretch the same spring 73.6 cm because the equation is y equals 5x.
G. It will stretch the same spring 73.6 cm because the equation is y equals one fifth x..
H. It will stretch the same spring 1,840 cm because the equation is y equals 5x.
J. It will stretch the same spring 1,840 cm because the equation is y equals one fifth x..
Answers
Answer:
H: It will stretch the same spring 1,840 cm because the equation is y equals 5x.
Step-by-step explanation:
800=y
160and368=x
You find the answer by dividing,
⁸⁰⁰⁄₁₆₀= ʸ⁄₃₆₈800 divided by 160 equals 5 which means the equation is y equals 5x
and 368x5=1,840
also, do you go to college park?
Use a number line to order the numbers from least to greatest.
HELLLPPPP!!!!!
Answers
Three hundred cars drove over a bridge in 23 minutes. At that rate, how
many cars would drive over the bridge in 138 minutes?
Answers
Answer:
1800
Step-by-step explanation:
300 cars in 23 minutes so 300/25 = how many cars each minute
that equals 13.04347....
so on your calculator multiply that by 138 which gives you 1800 cars
Answer:
138/23×300=1800cars drove over the bridge
Step-by-step explanation:
What is a simpler form of the following expressions?
(7m2 - 5)(7m2 + 5)
(This is a rushed one so pls help?)
Answers
Answer:
49m^4 - 25
Step-by-step explanation:
The simpler expression can simply be found by expanding
The kind of expansion we have here is the difference of two squares
(a + b)(a-b) = a^2 - b^2
Thus, we have it that;
(7m^2-5)(7m^2 + 5)
=
49m^4 - 25
Can anyone please help me solve this??
Answers
Answer:
X=4 Y= -5
Step-by-step explanation:
Match the expression with an equivalent expression
6( n + 4 ) =
Answers
Answer:
6n + 24
Step-by-step explanation:
Use the distributive property.
6(n + 4) = 6 * n + 6 * 4 = 6n + 24
A: x/8=3/4
B: 2/5=x/40
C: 1/8=x/40
D:x/10=12/15
Answers
6/8=3/4
2/5=16/40
1/8=5/40
8/10=12/15
I hope this helps.
A florist is making bouquets. Draw lines to match each
description with the number of bouquets she can make.
52 bouquets
630 roses with 10 roses in each bouquet
53 bouquets
640 roses with 12 roses in each bouquet
54 bouquets
975 roses with 18 roses in each bouquet
63 bouquets
1,250 roses with 24 roses in each bouquet
Answers
Answer:
1) 630 roses with 10 roses in each bouquet = 63 bouquets
2) 640 roses with 12 roses in each bouquet = 53 bouquets
3) 975 roses with 18 roses in each bouquet = 54 bouquets
4) 1,250 roses with 24 roses in each bouquet = 52 bouquets
Step-by-step explanation:
We need to match each description with the number of bouquets that can be made.
Solving this, we need to make bouquet of roses and each bouquet contains the given number of roses. We need to divide the total roses available by number of roses in each bouquet to find number of bouquets.
The formula used will be: [tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}[/tex]
1) 630 roses with 10 roses in each bouquet
Total roses = 630
Number of roses in each bouquet = 10
So, number of bouquets will be:
[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{630}{10}\\Number\:of\:bouquets=63[/tex]
So, 63 bouquets can be made.
2) 640roses with 12 roses in each bouquet
Total roses = 640
Number of roses in each bouquet = 12
So, number of bouquets will be:
[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{640}{12}\\Number\:of\:bouquets=53.3 \approx53[/tex]
So, 53 bouquets can be made.
3) 975 roses with 18 roses in each bouquet
Total roses = 975
Number of roses in each bouquet = 18
So, number of bouquets will be:
[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{975}{18}\\Number\:of\:bouquets=54.1\approx54[/tex]
So, 54 bouquets can be made.
4) 1,250 roses with 24 roses in each bouquet
Total roses = 1250
Number of roses in each bouquet = 24
So, number of bouquets will be:
[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{1250}{24}\\Number\:of\:bouquets=52[/tex]
So, 52 bouquets can be made.
County Middle School is buying pizza for all of its students. Each pizza has 8 slices. Each student will receive 1 slice. There are 700 students at County Middle School. How many pizzas will the school need to buy?
Answers
Answer:
88 at least
Step-by-step explanation:
So, if you need to give each student a slice remainders round up to the nearest whole number. So first you simply divide 700/8 (Students/Pieces of pizza per slice) and get 87.5. Then you round up to 88 since you cannot buy half a pizza (that's weird). You will have 4 extra slices to feed the teachers btw.
