The quadrilateral below is a rhombus. Find a measure of each of the missing angles
I think I got the 38 degree angles right
Answers
Answer:
∡1 ≅ ∡4 ≅ ∡6 (all are 38°) and
∡2 ≅ ∡3 ≅ ∡5 ≅ ∡7 (all are 52°) and
∡8 is 90°
Step-by-step explanation:
in a rhombus, diagonals form 90° angles
so you can find the m∡7 by adding 38 and 90, then subtracting from 180 to get 52°
also, in a rhombus there are 2 pair of parallel sides which means:
∡1 ≅ ∡4 ≅ ∡6 (all are 38°) and
∡2 ≅ ∡3 ≅ ∡5 ≅ ∡7 (all are 52°) and
∡8 is 90°
Answers:
angle 1 = 52 degreesangle 2 = 52 degreesangle 3 = 38 degreesangle 4 = 38 degreesangle 5 = 38 degreesangle 6 = 52 degreesangle 7 = 52 degreesangle 8 = 90 degreesIn other words, angles 3,4,5 are 38 degrees each. Angles 1,2,6,7 are 52 degrees each. Angle 8 is 90 degrees.
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Explanation:
The 38 degree angle on the diagram and the angle 4 are alternate interior angles. For any rhombus, the opposite sides are parallel, meaning alternate interior angles are congruent. So you have the correct value for angle 4. Unfortunately, your other answers are incorrect.
The diagonals of any rhombus are always perpendicular. That means the four smaller triangles that make up the rhombus are all right triangles. From that, angles 2 and 4 are complementary, so,
(angle 2) + (angle 4) = 90
(angle 2) + (38) = 90
angle 2 = 90 - 38
angle 2 = 52 degrees
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A useful property about rhombuses is that the diagonals always bisect the interior angles. In other words, the diagonals cut the interior angles in half.
This means....
angle 1 = angle 2angle 3 = 38 degreesangle 4 = angle 5angle 6 = angle 7Since we found angle 2 = 52, this means angle 1 = 52 as well.
Since angle 4 = 38, this makes angle 5 = 38
You should find that angle 7 adds to the 38 degree angle to get 90, since they are complementary angles. So angle 7 is 52 degrees. Note how it's congruent to angle 2, which is an alternate interior angle pair.
From angle 7 = 52, we can see that angle 6 = 52.
Finally, angle 8 = 90 degrees because the diagonals are perpendicular to one another for any rhombus.
Related Questions
can yall help me do this
Answers
Answer:
i think its 43
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
the area of the triangle alone is 9 for the whole thing it's 63 in order to find an area of a triangle you multiply 3 and 6 then u divide that by 2
classifying triangles
what type of triangle is shown?
Answers
The answer is c: Scalene
Answer:
Scalene since there are no same angles nor lengths
Step-by-step explanation:
help me with this please
Answers
Step-by-step explanation:
y = -4x + 17
=> (4,1)
x=4 --> y = -4(4)+17=-16+17=1
(4,1) matched
=> (2,9)
x=2 --> y=-4(2)+17=-8+17=9
(2,9) matched
A(4,1)
B(2,9)
m= Y2-y1/x2-X1
= 9-1/2-4 = 8/-2=-4
y=mx+b m=decline
Y=-4x+b —> replacing by point A(4,1)
1=-4x4+b
1=-16+b
b=17
Y=-4x+17 ✔️
22. The first 5 terms of a number pattern are shown below.
4, 9, 14, 19, 24,
Which expression is equivalent to the value of the nth term in the pattern?
5n -1
57
n +5
5n +3
Answers
the patterns going up in 5s and to get back to 4 you need to - 1
The expression is equivalent to the value of the nth term in the pattern is aₙ = 5n - 1. Then the correct option is A.
What is an arithmetic sequence?Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The first 5 terms of a number pattern are shown below.
4, 9, 14, 19, 24
The first term of the sequence is 4 and the common difference between the terms is given as,
d = 9 - 4
d = 5
The expression is equivalent to the value of the nth term in the pattern and will be
aₙ = 4 + (n - 1) x 5
aₙ = 4 + 5n - 5
aₙ = 5n - 1
The expression is equivalent to the value of the nth term in the pattern is aₙ = 5n - 1. Then the correct option is A.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
#SPJ5
Sam is using the expression m/8n in class. what is the value of the expression when m = 4 and n = 1/2?
Answers
Answer:
1
Step-by-step explanation:
m/8n > 4/8(1/2) ( since its 1/2 all u need to do is change the fraction to whole number which is 1/2 = 0.5)
The given will become 4/4 then simplest form is 1
NO LINKS Please and thank you
Answers
Which graph represents a function? On a coordinate plane, a line with 2 angles crosses the x-axis at (negative .5, 0), the y-axis at (0, 1), turns at (1, 3), crosses the x-axis at (1, 0), turns at (1, negative 2), and crosses the x-axis at (2, 0). On a coordinate plane, a curved line crosses the y-axis at (0, 1.5), the x-axis at (negative 2, 0), and the y-axis at (0, negative 1.5). On a coordinate plane, a line enters the plane at point (negative 5, 4), makes a 90-degree turn at (negative 1, 0), and leaves the plane at point (negative 5, negative 4). On a coordinate plane, a line with an s curve enters the plane at point (negative 3.75, 5), crosses the x-axis at (negative .75, 0), the y-axis at (0, 0), leaves x-axis at (.75, 0), and exits the plane at point (3.75, negative 5).
Answers
Answer:
d
Step-by-step explanation:
Answer:
it is D
Step-by-step explanation:
Do |-4] and [4] have the same value?
Yes
No
Answers
Answer: Yes
Step-by-step explanation:
[4] is the same as 4.
For |-4|
Short Explanation
The absolute value is the distance between a number and zero. The distance between -4 and 0 is 4 so the result of |-4| is 4
Long Explanation
The absolute value or modulus of a real number, denoted, is the non-negative value of without regard to its sign. Namely, if is positive, and if is negative, and. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero.
How many solutions does the system have ?
Answers
Answer:
Infinite
Step-by-step explanation:
[tex]4x + 2y = 8 =>2x + y = 4[/tex]
[tex]2x + y = 4\ is\ equal\ to\ 2x + y = 4[/tex]
At the calendar shop, wall calendars cost $10 and desk calendars cost $6. Kira spent $60 to buy 8 calendars. How many of each type of calendar did Kira buy?
Answers
Answer: 3 desk calender's and 3 wall calendars
Step-by-step explanation: 6 x 5 = 30 and 3 x 10 = 30
30 + 30 = 60
HELP PLEASE! I NEEDED IT! T0T
Applying the 45-45-90 Theorem, Find the lengths of the other two sides of a right triangle if the length of the hypotenuse is 4√2 inches and one of the angles is 45°.
Answers
Rule: If x is the leg of a 45-45-90 triangle, then x*sqrt(2) is the hypotenuse.
We can prove this by showing that x^2+x^2 = (x*sqrt(2))^2 is an identity. It's from the pythagorean theorem a^2+b^2 = c^2.
Put another way, if we know that a = x and b = x are the two congruent legs, then x^2+x^2 = c^2 leads to c = x*sqrt(2). This triangle is known as an isosceles right triangle.
So if 4*sqrt(2) is the hypotenuse, we match that up with the template x*sqrt(2) and see that x = 4 must be the case.
Please help. Find the two missing sides and write your answer as in simplified radical form.
Answers
Answer:
x and y = 5√2.
Step-by-step explanation:
This is a 45:45:90 triangle so length of x = length of y.
In this triangle the ratio of the sides is 1:1:√2
Finding length of x and y:
1/√2 = x/10
√2x = 10
x = 10/√2
= 10√2/2
= 5√2.
Find the volume of the figure. Use 3.14 for Pi
Answers
Answer:
The answer would be 17
Step-by-step explanation:
The answer would be 17 because if you add 12 plus 5 That would be your answer
If the principal is $4,500 and the rate of interest is 8%, what is the amount of interest after one year? Formula is I =PRT
Answers
Step-by-step explanation:
I=?
P= $4500
R=8%=0.08
T=1 year
8%*0.01= 0.08
I=(4500)(0.08)(1)
(4500)(0.08)=360
360*1=360
The interest after one year is $360
Which description best represents the inequality:
8x < x + 6?
Answers
Answer:
x < 6/7
Step-by-step explanation:
Your question doesn't say what your choices are, so I'm assuming the inequality should be solved for x... which values of x make 8x < x + 6?
Subtract x from both sides, then divide by 7.
7x < 6
x < 6/7
Find the measures of ZX and ZY.
Z
Х
P
1649
V
102°
w
o
mZX=
o
mZY=
Answers
Answer: 303
Step-by-step explanation:
helppppppppppp me pleaseeee
Answers
please help and show work
Answers
9514 1404 393
Answer:
5. x° = 38°; b° = 90°
6. m∠TSU = 110°
Step-by-step explanation:
The relationship relevant to these problems is that an inscribed angle is half the measure of the arc it intercepts. That is also true of the angle formed by a chord and a tangent.
__
5. Angle x° intercepts an arc marked 76°, so is half its measure: 76°/2 = 38°
x° = 38°
Arc b° is intercepted by an inscribed angle of 45°, so is twice that measure.
b° = 90°
__
6. Long arc SU is the remaining portion of the circle after short arc SVU is subtracted:
long arc SU = 360° -140° = 220°
Angle TSU is half that measure: 220°/2 = 110°.
m∠TSU = 110°
Scores on a statewide standardized test are normally distributed with a mean of 12.89 and a standard deviation of 1.95. Certificates are given to students whose scores are in the top 2% of those who took the test. This means that they scored better than 98% of the other test takers. Marcus received his score of 13.7 on the exam and is wondering why he didn’t receive a certificate. Show all work to determine whether Marcus’ score was high enough to earn a certificate. Write a letter to Marcus explaining whether or not he will be receiving a certificate. Include a brief summary of your statistical analysis in your letter.
Answers
Answer:
Marcus score is 13.7, the mean is 12.89, and the standard deviation is 1.95, so I’ll do ( 13.7 – 12.89)/ 1.95, Since Marcus' z-score is 0.415. The area to the left of the z-score is 65.9% so therefore Marcus did scored better than 65.9% of the students. So Marcus needs to score 98% better of all the other students in order for him to receive an actual certificate.
Step-by-step explanation:
Can anyone help me with this problem please but write down the steps please “factor each polynomial”
Answers
Answer:
Step-by-step explanation:
18x^2-21x-60
=18x^2-(45-24)x-60
=18x^2-45x+24x-60
=3x(6x-15)+4(6x-15)
=(3x+4)(6x-15)
Rachel has 132 baseball card his brother has 5/6 as many baseball card how many baseball card does his brother have
Answers
Answer:
110
Step-by-step explanation:
5/6 of 132 is 110
Which choice represents the fraction below as a single exponential expression ? (5 ^ 7)/(5 ^ 4)
Answers
Answer:125
Step-by-step explanation:hope this help
$3840 with a discount of 10%
Answers
Answer: 384
Step-by-step explanation: 10% also equals 0.1 so, 3840*0.1 = 384.
Answer:
$3840
Step-by-step explanation:
10%= x/10 and the x is equal to 3840. 3840/10=384 now that I know what %10 of 3840 I can take off the discount price onto the original price, 3840-384=3456. So 3456 is the final price after including the 10% discount.
Leah needs to order some new supplies for the restaurant where she works. The restaurant needs at least 748 knives. There are currently 214 knives. If each set on sale contains 12 knives, write and solve an inequality which can be used to determine ss, the number of sets of knives Leah could buy for the restaurant to have enough knives.
Answers
Answer: s (greater than or equal to) 44.5
Step-by-step explanation:
current # of knives = 214
knives per set = 12
knives needed = 748
# of sets = s
knives per set x (times) # of sets + current # of knives (greater than or equal to) knives needed
12s + 214 (greater than or equal to) 748
SOLVE:
12s + 214 (greater than or equal to) 748
-214 -214
12s (greater than or equal to) 534 you need to divide both sides by 12
s (greater than or equal to) 44.5
Two cars leave the same parking lot, with one heading north and the other heading east. After several minutes, the northbound car has traveled 4 kilometers, and the eastbound car has traveled 3 kilometers. Measured in a straight line, how far apart are the two cars?
Answers
Answer:
The distance between them is 5km
Step-by-step explanation:
Given
[tex]Car\ A =4km[/tex]
[tex]Car\ B =3km[/tex]
Required
Distance between them
The scenario can be represented with the attached image
The distance between them is then calculated using Pythagoras theorem
[tex]d^2 = 4^2 +3^2[/tex]
[tex]d^2 = 16 +9[/tex]
[tex]d^2 = 25[/tex]
Take square roots of both sides
[tex]d = \sqrt{25[/tex]
[tex]d = 5[/tex]
help please
For each question order the cards from least to greatest. If the feature is equal to two or more functions, place them next to each other. y-coordinate of the y-intercept
(the letters/cards need to be put in order form least to greatest based on y-coordinate of the y-intercept)
Answers
Answer:
C, D (-4) ⇒ E, G (0) ⇒ H (1) ⇒ A, F (3) ⇒ B(8)Step-by-step explanation:
The y-intercept is the coordinate of y at x = 0.
Let's find them all and then order.
A)
a(0) = -2*0 + 3 = 3B)
b(0) = 8 as per graphC)
c(0) = - 4 as per graphD)
d(0) = 0² - 4 = - 4E)
The point to be found after the equation of the function e(x)
We can see it is a linear function as the rate of change is constant
Use two points from the table (-1, 2) and (1, -2), find the slope:
m = (-2 - 2)/(1 - (-1)) = -4/2 = -2Use one point to find the y-intercept:
y - 2 = -2(x - (-1))y - 2 = -2x - 2y = -2x e(x) = -2xe(0) = 0F)
f(0) = 3 as per graphG)
g(0) = 2(3⁰) - 2 = 2 - 2 = 0H)
h(0) = 1 as per tableWhat is the solution of the equation?
-1 =V
-
3
Answers
Answer:
I think you mean "-1=v-3" which if that is the case the answer is V=4
Step-by-step explanation:
To know what is V.... you got to make remove the -3 and transfer it to the other side, which will change its' sign so it will be +3
the new equation: +3-1 = V
the answer: 2 = v
Meaning that V is 2,
hope it helped,
what is the variable if 13 and p
Answers
Answer:
p because variables are shown by letters not numbers
Hope this helped:)
Step-by-step explanation:
SOMEONE PLEASE EXPLAIN THIS TO ME. IVE GOTTEN THIS WRONT 3 TIMES AND I DONT KNOW WHAT IM DOING WRONG
Answers
Answer:
I believe the answer is 58.1 degrees
Step-by-step explanation:
acrsin 45/53=58.1
45/53 is the sin of P
What is the value of x in the figure?
A. 120°
B. 140°
C. 150°
D. 160°