Answers
Answer:
The measure of angle x is 68°
Step-by-step explanation:
The isosceles triangle has two sides equal, the angle between these two sides is called the vertex angle, the other two angles are called the base angles and they are equal in measures
In the given figure
∵ An isosceles Δ has a vertex angle of measure 68°
∴ The other two angles are equal in measure ⇒ base angles
→ The sum of the measures of the interior angles of a triangle is 180°
∴ The sum of the measures of the base angles = 180° - 68°
∴ The sum of the measures of the base angles = 112°
→ Divide their sum by 2 to find the measure of each angle
∵ The measure of each base angle = 112° ÷ 2
∴ The measure of each base angle = 56°
∵ There are two intersected segments
∴ There is a pair of vertically opposite angles
∵ The other isosceles Δ has a vertex angle of measure x
∵ A base angle of the 1st Δ and a base angle of the 2nd Δ are vertically
opposite angles
∴ They are equal in measure
∴ The measure of the base angle of the 2nd Δ = 56°
∴ The two base angles are equal in measure
∴ The measure of each base angle is 56°
→ The sum of the measures of the interior angles of a triangle is 180°
∵ 56° + 56° + x = 180°
∴ 112° + x = 180°
→ Subtract 112 from both sides
∴ x = 68
∴ The measure of angle x is 68°
Related Questions
Explain why 186,426 Is diviable by both 3 and 9
Answers
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A number is divisible by 9 if the sum of its digits is divisible by 9.
Look :
[tex] \frac{1 + 8 + 6 + 4 + 2 + 6}{9} = \frac{27}{9} = 3 \\ [/tex]
Thus 186,426 is divisible by 9 .
_________________________________
Also a number is divisible by 3 if the sum of its digits is divisible by 3.
Look :
[tex] \frac{1 + 8 + 6 + 4 + 2 + 6}{3} = \frac{27}{3} = 9 \\ [/tex]
Thus 186,426 is divisible by 3 .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Two airplanes are carrying food and medical supplies to a country in needOne airplane is carrying 63 meals and 51 medical The total the supplies on that airplane is The other airplane is carrying 77 meals and 51 medical kitsThe cost for the supplies on that airplane Write and solve a system of equations to find the price of one meal and the price of one third airplane is carrying 70 meals and 62 medical , what is the total cost of supplies
Answers
Answer:374
Step-by-step explanation:
you add them all then get the total
9(p-4)=-189(p−4)=−18
Answers
Answer:
6
Step-by-step explanation:
Answer:
The Correct Answer is 2
Step-by-step explanation:
Trust me for I have the skills of a scientist
Hem dibuixat tres rectangles. En el primer, la llargada mesura 3 cm més que l'amplada. El segon i tercer rectangle tenen unes dimensions augmentades, respectivament, en 1 cm i 2 cm respecte de les dimensions del primer. Si la suma dels tres perímetres és de 162 cm, quines són les dimensions de cada rectangle?
Answers
Resposta:
Primer rectangle:
Amplada = 11
Longitud = 14
Segon rectangle:
Amplada = 12
Longitud = 15
Tercer rectangle:
Amplada = 13
Longitud = 16
Explicació pas a pas:
Donat que:
Primer rectangle:
Amplada = x
Longitud = x + 3
2n rectangle:
Augment de la dimensió d'1 cm respecte al primer rectangle;
Amplada = x + 1
Longitud = x + 4
3r rectangle:
Augment de la dimensió de 2 cm respecte al primer rectangle;
Amplada = x + 2
Longitud = x + 5
Suma dels tres perímetres del rectangle:
Perímetre d'un rectangle: 2 (l + O)
Primer rectangle:
2 (x + x + 3) = 2 (2x + 3) = 4x + 6
2n:
2 (x + 1 + x + 4) = 2 (2x + 5) = 4x + 10
3r:
2 (x + 2 + x + 5) = 2 (2x + 7) = 4x + 14
Suma de perímetres = 162
(4x + 6 + 4x + 10 + 4x + 14) = 162
12x + 30 = 162
12x = 162 - 30
12x = 130
x = 11
Per tant,
Primer rectangle:
Amplada = 11
Longitud = 11 + 3 = 14
2n rectangle:
Amplada = 11 + 1 = 12
Longitud = 11 + 4 = 15
3r rectangle:
Amplada = 11 + 2 = 13
Longitud = 11 + 5 = 16
What would 3 1/3 be if you had to borrow?
Answers
we will eat chocolate of rupee 1 and divide other amount ofoney equally
Wykonaj mnożenie i zredukuj wyrazy podobne (x+5)(x+4)(x+3).
Answers
Answer:
.........................
бx +7= 8х - 15
Pls help will mark brainliest
Answers
Answer:
X=11
Step-by-step explanation:
-6x both sides of = sign
+ 15 both sides of = sign
x=11
helpppp
i need help quickly
Answers
Answer: 140?
I am not really sure but I think 140......
the temperature at noon at an Antarctic weather center was –15 °C. At midnight it had fallen by 12 °C. What was the temperature at midnight?
Answers
Answer:
-27 °C
Step-by-step explanation:
-15 -12 = -27
HELP only answer to give right answer pleaseeee
Answers
Answer:
B=4
Step-by-step explanation:
The Y intercept is where the line meets with the middle of the graph
The y-intercept of the line is B4
HELPPPPPPPP T^T I NEED AN ANSWER!!!! IS THE QUESATIN A OR C
Answers
Answer:
Commutative
Please, mark as brainliest
how many times does 90 go into 490
Answers
Answer:
may be 5 times is answer but I am not sure I have done 5 times I got like this
really confused on this! help is appreciated!!
Answers
You have a standard deck of cards. What is the probability of drawing a heart or a face card?
Answers
Answer:
3/4
Step-by-step explanation:
For a dinner party, a catering company charges a set
fee of $150 plus $20 per person.
How much will it cost for 35 people to attend the event?
Justify your work
Answers
Answer:
$850
Step-by-step explanation:
35 x 20 = 700 + 150 = $850 or 850
$20 per person and 35 people = $700 + the $150 fee = $850
whats the slope intercept form
Answers
Answer:
y=1+0b
Step-by-step explanation:
HELP MEEEE PLEASE i don't know how to do this
Answers
Answer:
5 hours
Step-by-step explanation:
35x+25 = 40x
25=5x
x= hours
helpp
2^2 - (2)(-2) - (-2)^2
Answers
Answer:
4
Step-by-step explanation:
2^2 - (2)(-2) - (-2)^2
=4+4-4
=4
2² - (2 × -2) - (-2²)
= 4 - (-4) - 4
= 4 + 4 - 4
= 8 - 4
= 4
please help i’ll give brainlest and lots of points !!
Answers
Bella makes bracelets. She uses 20 beads for each bracelet. How
many beads will she use to make 7 bracelets?
Answers
Answer:
140 beads.
Step-by-step explanation:
Hope this helps. :)
The MagicSoft software company has a proposal to the city council of Alva, Florida, to relocate there. The proposal claims that the company will generate $3.3 million for the local economy by the $1 million in salaries that will be paid. The city council estimates that 70% of the salaries will be spent in the local community and 70% of that money will again be spent in the community, and so on. What is the correct estimate of the amount generated to the local economy?
Answers
Answer:
The correct estimate of the amount generated to the local economy is $3,333,333.[tex]\bar3[/tex]
Step-by-step explanation:
The amount the expected to be generated for the local economy = $3.3 million
The amount of salaries that will generate $3.3 million = $1 million
The percentage of the amount of the salaries and the subsequent earnings expected to be spent on the local community = 70%
Therefore, we have;
For a first amount of 1 million into the economy, the next amount to into the economy is 70/100 × 1 million = 700,000, then we have 70/100 × 700,000 and so on, which is a geometric sequence, with first term, a = $1 million, the common ratio, r = 70/100 = 0.7, the number of terms = Infinity = ∞
The sum of a geometric sequence to infinity is given as follows;
[tex]\sum\limits_{k = 0}^{\infty }a \cdot r^k = S_{\infty} = \dfrac{a}{1 - r}[/tex]
Substituting the known values gives;
[tex]\sum\limits_{k = 0}^{\infty }1,000,000 \times 0.7 ^k = \dfrac{1,000,000}{1 - 0.7}= 3,333,333.\bar 3[/tex]
Therefore, the correct estimate of the amount generated to the local economy by the $1 million salaries that will be paid = $3,333,333.[tex]\bar3[/tex].
Answer:
it A
Step-by-step explanation:
what is 2 divided by 6
Answers
Answer:
2.333 repeating
Step-by-step explanation:
you divide 2 by 6 (srry i neede more characters)
you can do the repeat symbol by placing a slash over top of the 3rd 3
Given a+2 when a=5 I need help
Answers
Answer:
The answer to this is 7.
a+2
5+2
7
How do I plot this?
Answers
What is the surface area of the solid?
Answers
Answer:
B
Step-by-step explanation:
please help i’ll give brainliest!!
Answers
Answer:
no correlation
Step-by-step explanation:
the dots are all scattered randomly
Find the centroid of the triangle with these vertices: P (-1,7), Q (9,5), and R (4,3).
The coordinates of the centroid are?
Answers
Answer:
The coordinates of the centroid are:
[tex]O\:=\:\left(4,\:5\right)\:\:[/tex]
The diagram is also attached below.
Step-by-step explanation:
Given the vertices
P (-1, 7)Q (9, 5)R (4, 3)We know that the intersection of medians brings the centroid of the triangle.
The centroid of a triangle is given by
[tex]O\:=\:\left(\frac{P_x+Q_x+R_x}{3},\:\frac{P_y+Q_y+R_y}{3}\:\right)[/tex]
In this example,
[tex]P_x=-1,\:P_y=7[/tex]
[tex]Qx=9,\:Q_y=5[/tex]
[tex]Rx=4,\:R_y=3[/tex]
substituting in the formula
[tex]O\:=\:\left(\frac{-1+9+4}{3},\:\frac{7+5+3}{3}\:\right)\:\:[/tex]
[tex]O\:=\:\left(\frac{12}{3},\:\frac{15}{3}\:\right)\:\:[/tex]
[tex]O\:=\:\left(4,\:5\right)\:\:[/tex]
Therefore, the coordinates of the centroid are:
[tex]O\:=\:\left(4,\:5\right)\:\:[/tex]
The diagram is also attached below.
We've been given with the co-ordinates of vertices of the triangle and asked to calculate the co-ordinates of the centroid.
★ Centroid of a triangle :-
[tex]\red{\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} } \: , \: \dfrac{y_1 \: + \: y_2 \: + \: y_3}{3} }} \: \pink\bigstar [/tex]We have :
x₁ = -1x₂ = 9x3 = 4y₁ = 7y₂ = 5y3 = 3Substituting the values :
★ For x co-ordinate:-
[tex]: \: \implies \: \sf{x\: = \: \dfrac{x_{1} \: + \: x_2 \: + \: x_3}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ - 1 \: + \: 9 \: + \: 4}{3}} \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ 8 \: + \: 4}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ 12}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \cancel\dfrac{ 12}{3} } \\ \\ : \: \implies \: \sf{x\: = \: 4 }[/tex]
★ For y co-ordinate:-
[tex]: \: \implies \: \sf{y\: = \: \dfrac{y_{1} \: + \: y_2 \: + \: y_3}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 7 + 5 + 3}{3}} \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 10 \: + \: 5}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 15}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \cancel\dfrac{ 15}{3} } \\ \\ : \: \implies \: \sf{y\: = \: 5 }[/tex]
★ Henceforth,
Co-ordinates are (4 , 5)Additional Information :
★ Midpoint of two points:-
[tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]★ Distance Formula :-
[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]★ Visit more :-
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Slove the sum
-15 > - 16 + y
Answers
Answer:
Let's solve your inequality step-by-step.
−15>−16+y
Step 1: Simplify both sides of the inequality.
−15>y−16
Step 2: Flip the equation.
y−16<−15
Step 3: Add 16 to both sides.
y−16+16<−15+16
y<1
Answer:
y<1
Given: AB || DC, AD || BC
Prove:
Answers
Answer:
Reasons:
2. Opposite interior angles
4. Opposite interior angles
5. Same line
6. Congruence
Step-by-step explanation:
Anybody else have to have google teach them something? (free pts)
Like i had to google something just to understand what it was.
Answers
Answer:
sometimes
Step-by-step explanation:
Answer:
Yes! All the time!
Step-by-step explanation: