The pair of triangles that are similar to each other will be given below.
Triangle 1: 55°, 45° and Triangle 2: 55°, 80°.
Triangle 1: 105°, 23° and Triangle 2: 52°, 105°.
What are similar triangles?If any two angles of triangles are equal then the triangles are known as similar triangles.
The measures of two angles of pairs of triangles are given.
Triangle 1: 55° and 45°, then the third angle will be 80°.
Triangle 2: 55° and 80°, then the third angle will be 45°.
They are similar triangles.
Triangle 1: 105° and 23°, then the third angle will be 52°.
Triangle 2: 52° and 105°, then the third angle will be 23°.
They are similar triangles.
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Answer:
Triangle 1: 55° and 45°, then the third angle will be 80°.
Triangle 2: 55° and 80°, then the third angle will be 45°.
They are similar triangles.
Triangle 1: 105° and 23°, then the third angle will be 52°.
Triangle 2: 52° and 105°, then the third angle will be 23°.
solve for x
50 points. Thanks
Answer:
x = 7
Step-by-step explanation:
From the figure, we can see the figure is a right triangle. To find the value of x, we need to apply the Pythagorean Theorem.
===============================================================
Solving :
⇒ (x)² + (24)² = (x + 18)²
⇒ x² + 576 = x² + 36x + 324
⇒ 36x = 576 - 324
⇒ 36x = 252
⇒ x = 252/36
⇒ x = 7
Apply Pythagorean theorem
H²-P²=B²(x+18)²-x²=24²(x+18+x)(x+18-x)=576(2x+18)(18)=5762x+18=322x=14x=7how do you show that 2/11 is a repeating decimal
Answer the questions below.
asapppppppppppppppppp
Answer:
a. mode
b. median
c. median
Step-by-step explanation:
the mode is the most common number
the median is when you order the numbers in order and use the middle number
what is the value of 5 in 564,242
Answer:
The value of 5 is 500,000
Step-by-step explanation:
becuse their is 5 numbers behind it making it equivilant to 500,000
Hey there!
EXPANDED FORM:
500,000
+ 60,000
+ 4,000
+ 200
+ 40
+ 02
WORD FORM:
Five hundred 6
Sixty four thousand, two hundred forty two
PLACE VALUE FORM
5: 500,000 (hundred thousand)
6: 60,000 (ten thousand)
4: 4,000 (thousand)
,
2: 200 (hundreds)
4: 40 (tens)
2: 02 (ones)
To sum it is all up {5} is in the: [hundred thousands] place
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
4. Find the value of x to the nearest tenth.
35
o
11
O
12.9
O
6.3
O
-10
Answer:
11
Step-by-step explanation:
Find the slope of the line that passes through (3, 6) and (8, 7)
Answer:
The slope of this line is 1/5
Step-by-step explanation:
You can find the answer easily by graphing the problem. In doing so, you will find the slope (rise over run) to be one over five. This is because you rise one unit, and run five.
What is the sum of this question
Answer:
C. 7x + 45
Step-by-step explanation:
To start answering this question, let's first distribute the 6 * ( x + 7 ) so that we can add like terms to simplify.
So let's multiply the 6 out to the ( x + 7 ) to get ( 6x + 42 ).
Now the complete expression reads: 6x + 42 + ( x + 3 )
With this, we can add all the like terms( 6x and x, and 42 and 3) together.
So we end up with 6x + x + 42 + 3 = 7x + 45
So the correct answer is C. 7x + 45
A circle has a diameter of 12 units, and its center lies on the x-axis. what could be the equation of the circle? check all that apply. (x – 12)2 y2 = 12 (x – 6)² y² = 36 x² y² = 12 x² y² = 144 (x 6)² y² = 36 (x 12)² y² = 144
The equation of a circle with radius of 6 units and center on the x axis could be (x - 6)² + y² = 36
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The circle has a diameter of 12 units. Hence, radius = 12/2 = 6 units.
The center of the circle is at x axis (*, 0), the equation could be:
(x - 6)² + (y - 0)² = 6²
(x - 6)² + y² = 36
The equation of a circle with radius of 6 units and center on the x axis could be (x - 6)² + y² = 36
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The eccentricity of the conic section
graphed is:
a. Zero
b. Between 0 and 1
c. One
d. Greater than 1
The eccentricity of the conic section that is graphed is C. One.
What is eccentricity?It should be noted that the eccentricity of the clinic section simply means the distance from the point to its focus.
In this case, the eccentricity of the conic section that is graphed is one. The eccentricity value is usually constant for any conics.
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Answer:
The answer is B. Between 0 and 1
Step-by-step explanation:
A circle's radius is 6 inches. What is the circle's area?
Use 3.14 for pi and round your answer to the nearest tenth.
Answer:
9*9*3.14= 254.34
Area= 3.14 (pi)*radius suqare
Step-by-step explanation:
:)
Bananatown is 75 miles due east of
Appleton. The distance from
Bananatown to Cherryville is 83 miles.
How far is Appleton from Cherryville?
Answer:
8 miles
Step-by-step explanation:
because 83-75=8 miles
A rectangular garden measures by 30ft and 40ft. Surrounding (and bordering) the garden is a path 3ft wide. Find the area of this path. Be sure to include the correct unit in your answer
Answer:
312 ft²
Step-by-step explanation:
Area of the garden = Length x Width
Area of the garden = 30 x 40 = 1200ft²
Length of the garden and path = Length of the garden + 3 ft on both sides
Length of the garden and path = 30 + 3 + 3 = 36 ft
Width of the garden and path = Width of the garden + 2 ft on both side
Width of the garden and path = 40 + 3 + 3 = 46 ft
Area of the garden and path = Length x Width
Area of the garden and path = 36 x 46 = 1512 ft²
Area of the path = Area of the garden and path - Area of the garden
Area of the path = 1512 - 1200 = 312 ft²
Answer: 312 ft²
Justine ran for 35 minutes on monday, for 1 hour and 10 minutes on Wednesday , and for 1 hour and 15 minutes on friday. How many total minutes did Justine run?
Answer:
3 hours or 180 minutes
Step-by-step explanation:
This one should be an easy one
First, lets convert everything to units
35 + (1 hour and 10 minutes or 70 minutes) + (1 hour and 15 minutes or 75 minutes) = 35 + 70 + 75 = 180 minutes, or 3 hours.
Hope it helps :)
Help me on this math problem please!! DUE TONIGHT!!
Answer:
48 + 2x = 120
x = length od long side.
A small bottle of water weighs 5/8 pound. A carton hdds 30 small bottles of water.
How many pounds do the 30 small water bottles weigh? Move numbers to the boxes to show the answer. If there is no whole number, put a 0 in the first box
in the first box
The weight in pounds do the 30 small water bottles when the weight of one bottle is 5/8 pound is 75/4 pounds.
How to measure the weight?Weight measurement is the measurement of the heaviness of a object. The units of weight measurement are pounds, grams, kilograms etc.
A small size bottle of water which has the weighs 5/8 pound. One carton has total 30 small bottles of water.
Let the weight in pounds do the 30 small water bottles has is x. Thus,
[tex]x=\dfrac{5}{8}\times30\\x=\dfrac{5}{4}\times15\\x=\dfrac{75}{4}\rm\; pounds[/tex]
Thus, the weight in pounds do the 30 small water bottles when the weight of one bottle is 5/8 pound is 75/4 pounds.
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Angelo can run 3 miles in 22
minutes. At this rate, how many
miles could she run in 33 minutes?
Answer: 4.52 miles
Step-by-step explanation:
A, B and C form a triangle where ∠BAC = 90°
AB = 4.4mm and BC = 14.8mm
Find the length of AC, giving your answer rounded to 1 decimal place.
Answer:
............ .. .......
Answer:
14.1 mm
Given:
∠BAC = 90° (angle A should be 90°)
AB = 4.4mm
BC = 14.8mm
See the diagram given below.
Solving using Pythagoras Theorem: a² + b² = c²
x² + 4.4² = 14.8²
x = 14.8² - 4.4²
x = 219.04 - 19.36
x = 199.68
x = √199.68
x = 14.13 ≈ 14.1 mm (rounded to 1 decimal place)
Can someone please help me
Answer:
1 true
2 false
3 false
4 true
If Hal usually mows 21 yards per week, how many yards does he average per day?
(will mark brainliest)
Answer:
3 yards per weekStep-by-step explanation:
21÷7=3
3 yards per week
hope this helps
Answer:
3 yards per day
Step-by-step explanation:
Given :
Hal mows an average of 21 yards per weekTo Remember :
There are 7 days in a weekSolving :
Avg. yards per day = Avg. yards per week / No. of days in a weekAvg. yards per day = 21/7Avg. yards per day = 3 yards per dayHelp Please…. I don’t really understand the question
Step-by-step explanation:
if you don't even understand the question, this is also something you need to tell your teacher. it is his/her job to make you understand it.
a probability is always
desired cases / possible cases
so, if we pick a single student randomly, how many possible options do we have ?
we have 2+5+6+9 = 22 students (as the 4 categories in the table are mutually exclusive).
therefore, our possible cases to pick a student are 22.
now, how many of these 22 students represent our desired cases ?
male, who does not have an A : 9
so, the probability to pick a student who is male and does not have an A is
9/22 = 0.409090909...
Which expression is a factor of 12x2 29x – 8? x – 8 2x – 1 3x 8 4x 1
The factorization of the given expression is:
p(x) = (x - 2.66)*(x - 0.25)
Which expression is a factor?We have the quadratic equation:
12x^2 + 29x - 8
To get the factors we need to find the roots, then we use Bhaskara's formula:
[tex]x = \frac{-29 \pm \sqrt{29^2 - 4*(-8)*12} }{2*12} \\\\x = \frac{-29 \pm 35}{24}[/tex]
Then the solutions are:
x = (-29 + 35)/24 = 0.25
x = (-29 - 35)/24 = -2.66
Then the factors of the expression are:
(x - 2.66) and (x - 0.25)
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How many solutions does the equation have? 0=3x^2-5x-5
Answer:
2 real solutions
Step-by-step explanation:
Since the degree of the polynomial is 2, then there are 2 solutions for the equation, but we don't know if they are both complex or both real.
Since the discriminant is [tex]b^2-4ac=(-5)^2-4(3)(-5)=25+60=85 > 0[/tex], then there are 2 real solutions.
What is the value of the expression below? (4^2)^1/4
Answer:
the value for the expression for below is (4^2) ^1/4 is 2
Answer:
2
Step-by-step explanation:
Exponent law[tex]\sf \boxed{(a^m)^{n}=a^{m*n}}[/tex]
[tex]\sf (4^2)^\frac{1}{4}=4^{2*\frac{1}{4}}[/tex]
[tex]\sf = 4^{\frac{1}{2}}\\\\ = \sqrt{4}\\\\=2[/tex]Please help!
Select the correct answer. What are the factors of this quadratic function? the graph of a quadratic function with a maximum value at the point (3,4) and zeros at 1 and 5 A. (x − 1) and (x − 5) B. (x + 1) and (x + 5) C. (x − 1) and (x + 5) D. (x + 1) and (x − 5)
The factor of the quadratic equation will be (x − 1) and (x − 5). Then the correct option is A.
What is a quadratic equation?It's a polynomial with a value of zero. There exist polynomials of variable power 2, 1, and 0 terms. A quadratic equation is an equation with one statement in which the degree of the parameter is a maximum of 2.
The graph of a quadratic function with a maximum value at the point (3,4) and zeros at 1 and 5.
Then the factor of the quadratic equation will be (x − 1) and (x − 5).
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Answer:
A.
Step-by-step explanation:
2
What value of x makes the equation below true?
3.3x + 3.0 = 16.2
A 9.9
B. 5.82
C. 4
D. 1.64
Which triangle is not similar to the other two triangles?
Answer:
First choice top-down
Step-by-step explanation:
The Similarity Theorem Side-Angle-Side it can be checked here to see what triangles are similar.
All 3 triangles have 2 congruent sides so the triangles are all isosceles.
The base angles of isosceles triangles are congruent so knowing this and that the sum of angles in a triangle is 180° we can calculate the measure of all angles.
180-20 = 160; 160/2 = 80°
180-30 = 150; 150/2 = 75°
Now we can conclude that Δ JLK is not similar with Δ MNO ≈ ΔPRQ
A rectangle is four times as long as it is wide. If it has an area of 36 square inches, what are its dimension?. a. 6 by 6 c. 4 by 9 b. 3 by 12 d. 4 and 8 Please select the best answer from the choices provided A B C D
Answer:
B. 3 by 12
Step-by-step explanation:
[tex]x(4x) = 36[/tex]
[tex]4 {x}^{2} = 36[/tex]
[tex] {x}^{2} = 9[/tex]
[tex]x = 3[/tex]
[tex]4x = 12[/tex]
So the length is 12 inches, and the width is 3 inches.
The ratio of two angles is 5:3. The two angles are supplementary,
What is the measure of each of the angles in the angle pair?
What is (m - 5) divided by 4 where m = 17
What is 2x-x^2=1 in standard form
Answer:
Answer is in attachment
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