Answer:
the first one is correct
Step-by-step explanation:
Examine parallelogram ABCD below.
Determine which of the following values are correct. Select three that apply.
A
m2D = 105
B
m2A = 75°
C
m2 = 93°
D
m2B = 87°
E
x = 16
F
x = 19
Given that,
∠C = (6x-21)° and ∠A = (4x+11)°
To find,
Choose the correct option.
Solution,
For a parallelogram, the opposite angles are equal. ATQ,
(6x-21)° = (4x+11)°
Taking like terms together,
6x-4x = 21 + 11
2x = 32
x = 16
∠C = (6x-21)° = 6(16) -21 = 75°
So, ∠A = 75°
So, ∠A = ∠C = 75°. Hence, the correct option is (B).
Please show your work !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
2 is true
Step-by-step explanation:
SInce the angles of a triangle add up to 180 c is equal to 50 because 100+30=130 and 180-130=50
By the Converse of the Base Angles Theorem or the Isosceles Triangle theorem if 2 angles of a triangle are congruent then the sides opposite are also congruent. By the definition of an isosceles triangle if a triangle has 2 equal sides it is isosceles.
please help i don’t understand
9514 1404 393
Answer:
3
Step-by-step explanation:
Vertical angles share a vertex point, and have opposite rays for sides. In short, they are across the point of intersection from each other. Vertical angles do not have a common side (they are not adjacent).
The first part of the problem is to identify angle NCA. That is shown in red in the attachment. The vertical angle is across the point of intersection. It is angle 3.
If 45 out of 100 people said that they read
the newspaper every day, how many
people out of 500 would be expected to
read one every day?
Answer:
225
Step-by-step explanation:
X/500 = 45/100
100(x) = 45(500)
100x = 22500
X = 22500/100
In the standard (x, y) coordinate plane, what is the y-coordinate of the midpoint on
the line segment between the points (-6, 2) and (3, -10)?
Given: Points (-6, 2) and (3, -10).
To find: The y-coordinate of the midpoint of the line segment formed by the given points.
Answer:
Let's first find out the mid-point.
Formula to find the mid-point of a line segment:
[tex]\tt \bigg(\dfrac{x_1\ +\ x_2}{2}, \dfrac{y_1\+ \ y_2}{2}\bigg)[/tex]
From the given data, we have:
[tex]\tt x_1\ =\ -6\\\\x_2\ =\ 3\\\\y_1\ =\ 2\\\\y_2\ =\ -10[/tex]
Using these in the formula,
[tex]\tt Mid-point\ =\ \bigg(\dfrac{-6\ +\ 3}{2}, \dfrac{2\ +\ -10}{2}\bigg)\\\\\\Mid-point\ =\ \bigg(\dfrac{-3}{2}, \dfrac{-8}{2}\bigg)\\\\\\Mid-point\ =\ \bigg(\dfrac{-3}{2}, -4\bigg)[/tex]
The y-coordinate of the mid-point of the line segment formed by the points (-6, 2) and (3, -10) is -4.
Hope it helps. :)
X squared + 3X -27/4 = 0
Answer:
Applying the quadratic formula.
Exact Form:
x=32,−92
Decimal Form:
x=1.5,−4.5
Mixed Number Form:
x=112,−412
Step-by-step explanation:
Solve the equation: x2 + 3x -27/4 = 0 With the coefficients: a = 1, b = 3, c = -6.75 a ≠ 0 With ∆ = 36> 0 => Equation has 2 distinct solutions
x1 = 1.5, x2 = -4.5
i cannot do graphs to save my life someone help!
Answer:
It is the second one
Step-by-step explanation:
Use the figure to complete each statement
1-6. pleaseee help will give brainliest
Answer:
1. UW // TX
2. VX // UY
3. UW ≅ TY ≅ YX
4. YW = [tex]\frac{1}{2}[/tex] TV
5. TX = 2 UW
6. ∠TXV ≅∠WUY
Step-by-step explanation:
The line segment joining the midpoint of two sides of a triangle is parallel to the third side and equal to half its length
In Δ XVT
∵ U is the midpoint of VT
∵ W is the midpoint of VX
∵ XT is the 3rd side of the triangle
→ By using the rule above
∴ UW // TX ⇒ (1)
∴ UW = [tex]\frac{1}{2}[/tex] TX
→ Multiply both sides by 2
∴ 2 UW = TX
∴ TX = 2 UW ⇒ (5)
∵ Y is the midpoint of TX
∴ TY = YX = [tex]\frac{1}{2}[/tex] TX
∵ UW = [tex]\frac{1}{2}[/tex] TX
∴ UW ≅ TY ≅ YX ⇒ (3)
∵ U is the midpoint of VT
∵ Y is the midpoint of XT
∵ VX is the 3rd side of the triangle
→ By using the rule above
∴ UY // VX
∴ VX // UY ⇒ (2)
∴ UY = [tex]\frac{1}{2}[/tex] VX
∵ W is the midpoint of VX
∵ Y is the midpoint of XT
∵ TV is the 3rd side of the triangle
→ By using the rule above
∴ YW // TV
∴ YW = [tex]\frac{1}{2}[/tex] TV ⇒ (4)
∵ 2 Δs UYW and XVT
∵ UY = [tex]\frac{1}{2}[/tex] XV
∵ YW = [tex]\frac{1}{2}[/tex] VT
∵ WU = [tex]\frac{1}{2}[/tex] TX
∴ [tex]\frac{UY}{XV}[/tex] = [tex]\frac{UW}{VT}[/tex] = [tex]\frac{WU}{TX}[/tex] = [tex]\frac{1}{2}[/tex]
→ By using the SSS postulate of similarity
∴ ∠TXV ≅∠WUY ⇒ (6)
Help! How do you solve ?
20 points !!
Answer:
Let the required side be x.
[tex] {x} = \sqrt{ { (\sqrt{2})}^{2} + {(4)}^{2} } \\ = \sqrt{2 + 16} \\ = \sqrt{18} \\ = \boxed{ 3 \sqrt{2} }[/tex]
3√2 is the right answer.Rewrite 18 /5 as a mixed number.
5 1/3
5 5/3
3 3/5
3 5/3
Answer:
your awnser is 3 3/5
Step-by-step explanation:
all u do is 18 divided by 5 wich gives u 3 with a leftover of 3 so that gives u 3 3/5
Answer:
3 3/5
Step-by-step explanation:
You count by 5 until it wont fit in to 18 what you have left over ( 3 ) is your numerater. However many times 5 went into 18 Is your whole number.
helppppppppppp OMG pleaseee
Answer:
It is
1/c^93
Step-by-step explanation:
A maple tree stands 7 1/4
feet tall. Sandy is going to trim the tree by 2 1/3 feet. How tall will the maple tree be after it is trimmed?
Answer:
4 11/12 feet tall
which of the following pair of triangles can be proven congruent through SSS
Answer:
C
Step-by-step explanation:
For A, only two sides are congruent, while the third is not
For B, You have two sides and an angle, which is SAS, not SSS
if u help me I would very much like that. thx and gm
Answer:
12.8 and 20
Step-by-step explanation:
y=3.6x+2 [x=3 and x=5]
y=3.6(3)+2 = 10.8 + 2 = 12.8
y=3.6(5)+2 = 18 + 2 = 20
can someone simplify
APP IT will HELP SIDJIDNUDNUD
how many vertices does a prism with 54 edges have?
Answer:
13 vertices. In geometry, the augmented hexagonal prism is one of the Johnson solids (J54). As the name suggests, it can be constructed by augmenting a hexagonal prism by attaching a square pyramid (J1) to one of its equatorial faces. When two or three such pyramids are attached, the result may be a parabiaugmented hexagonal prism, a metabiaugmented hexagonal prism or a triaugmented hexagonal prism. Augmented hexagonal prism.
Type: Johnson J53 - J54 - J55
Faces: 2x2 triangles 1+2x2 squares 2 hexagons
Edges: 22
Vertices: 13
5. Verify the property a× (b-c)= a×b-a×c for each of the following:
a= -3\5; b= 5\9; c= -10\3
Answer:
We conclude that
[tex]a\times \left(b-c\right)=\:a\times b-a\times c[/tex]
[tex]-\frac{7}{3}=-\frac{7}{3}[/tex]
L.H.S = R.H.S
Step-by-step explanation:
Given the property expression
[tex]a\times \left(b-c\right)=\:a\times b-a\times c[/tex]
Given that:
a = -3/5b = 5/9c = -10/3Determining the LEFT-HAND SIDE
[tex]a\times \left(b-c\right)[/tex]
substituting a= -3/5, b= 5/9 and c= -10/3
[tex]a\times \left(b-c\right)\:=\:\:-\frac{3}{5}\times \left(\frac{5}{9}-\left(-\frac{10}{3}\right)\right)\:\:\:\:\:\:\:\:\:\:\:\:[/tex]
[tex]=-\frac{3}{5}\times \:\left(\frac{5}{9}+\frac{10}{3}\right)\:\:\:[/tex]
[tex]=-\frac{3}{5}\times \frac{35}{9}[/tex]
[tex]=-\frac{7}{3}[/tex]
Determining the RIGHT-HAND SIDE
[tex]\:a\times \:b-a\times \:c[/tex]
substituting a= -3/5, b= 5/9 and c= -10/3
[tex]\:a\times \:b-a\times \:c=ab-ac[/tex]
[tex]=-\frac{3}{5}\left(\frac{5}{9}\right)-\left(-\frac{3}{5}\right)\left(-\frac{10}{3}\right)[/tex]
[tex]=-\frac{3}{5}\cdot \frac{5}{9}-\frac{3}{5}\cdot \frac{10}{3}[/tex]
[tex]=-\frac{15}{45}-\frac{30}{15}[/tex]
[tex]=-\frac{1}{3}-2[/tex]
[tex]=\frac{-7}{3}[/tex]
Apply the fraction rule: [tex]\frac{-a}{b}=-\frac{a}{b}[/tex]
[tex]=-\frac{7}{3}[/tex]
Therefore, we conclude that
[tex]a\times \left(b-c\right)=\:a\times b-a\times c[/tex]
[tex]-\frac{7}{3}=-\frac{7}{3}[/tex]
L.H.S = R.H.S
10) Stan has $55. He wants to buy a belt that costs $14 and some T–shirts that cost $9 each. How many T–shirts can he buy?
a) Let n represent the number of T–shirts and translate into an inequality. b) How many T–shirts can he buy?
Answer:
4 T- shirts
Step-by-step explanation:
55- 14 = 41
41$ left and each T- shirt is 9$
count by 9s until you reach 41
9, 18, 27, 36 , 45
36 is the highest
Gabrielle went out to her garden and cut 3 roses from the first rose bush, 5 roses from the second rose bush, 9 roses from the third rose bush, and 15 roses from the fourth rose bush. If this pattern continues, how many roses will Gabrielle cut from the fifth rose bush?
Answer:
23 roses from the fifth rose bush
Step-by-step explanation:
3 roses from the first rose bush
5 roses from the second rose bush
9 roses from the third rose bush
15 roses from the fourth rose bush
Odd numbers are 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25
roses from the second rose bush = next odd number after 3
= 5
roses from the second rose bush
= 2 next odd number after 5
= 9
roses from the fourth rose bush
= 3 next odd number after 9
= 15
how many roses will Gabrielle cut from the fifth rose bush?
roses Gabrielle cut from the fifth rose bush = 4 next odd number after 15
= 23
23 roses from the fifth rose bush
the radius of a circle is 4 feet. What is the circle's area? Use 3.14 for .
I need the square feet
Answer:
Approximately 50 square feet (50.24 to be exact)
Step-by-step explanation:
If you're using 3.14 for π, and the area of a circle is A=πr2,
(3.14)(4)^2 =?
(3.14)(16) = 50.24
Therefore the answer would be about 50 square feet.
Answer:
25.12
Step-by-step explanation:
Find the measure of each numbered angle.
Answer:
Angle 1 is 105 as Z rule
Angle 2 is 75 per the angles of the straight line
Angle 3 is 90, and in turn as angles around a point, so is 4
I may be wrong...angles arent my strength, but I think its pretty accurate
Step-by-step explanation:
The total charge for a yearly Internet DVD rental membership is $231. A registration fee of $15 is paid up front, and the rest is paid monthly. How much do new members pay each month, m?
Answer:
New members pay each month = $18 per month
Step-by-step explanation:
Given:
Total rental membership = $231
Advance registration fee = $15
Find:
New members pay each month
Computation:
Number of month in year = 12
Fee after registration = $231 - 15$
Fee after registration = $216
New members pay each month = Fee after registration / Number of month in year
New members pay each month = 216 / 12
New members pay each month = $18 per month
Answer:
Step-by-step explanation:
UR MOM
Emmy makes $11.50 an hour and get a 3% raise. Answer the following question . How much is her raise ? How much money is Emmy making an hour after her raise ?
Answer:
How much is her raise?
Her raise is at 0.345$
Hourly pay after raise?
Her new pay rate is 11.845$/h
Step-by-step explanation:
New hourly pay:
[tex]11.50 \times 1.03 = 11.845[/tex]
Actual raise:
[tex]11.845 - 11.50 = 0.345[/tex]
36000 candidates appeared in examination.Out of these,45% were girls.If 80% boys and 70% girls were passed,find the passed percent.
Answer:
75.5 % of all candidates passes
Step-by-step explanation:
36000 x .45 = 16200 x .7 = 11,340 girls passed
36000 x .55 = 19800 x .8 = 15,840 boys passed
total of boy and girls who passed = 27,180
27,180 out of 36,000 equals 75.5%
PLEASE i need help it's for a math test and i'm lost
Answer:
x^3 - 9[tex]x^{2}[/tex] + 27x - 27
Step-by-step explanation:
help is severely needed
Answer:
Bear with me here
Step-by-step explanation:
I don't actually know how to solve this, I have geometry later this year. I just hope to be able to set it up for you.
Ok, so BE and CE are perpendicular. This means that they make a 90 degree angle. we can write in the boxes to signify if you want. We also know that the angles CDE and DCE have the same angle. I don't know how to put this is math terms, but that means that ADE and BCE have to be the same as well. If x(the angle of ADE and BCE)is the same, then CDA must be x + (mystery angle). if ADE and BCE are the same, and a triangle's angles add up to 180, then DAE and EBC must be the same as well. Not sure if this actually helps, I'm not able to give a straight answer but it's the best I can do with what I know.
There are 12 red gummy bears in a jar of 60 gummy bears what is the percentage of the gummy bears in the jar that are red
Pls help??????????????
Answer:
perpendicular
Step-by-step explanation:
L1: find the slope
rise: 2 - (-5) = 7
run: -1 - (-3) = 2
m1 = 7/2
L2:
rise: 2 - 4 = -2
run: 7 - 0 = 7
m2 = -2/7
parallel means same slope m1 = m2
perpendicular means opposite reciprocal (flip and change signs)
7/2 flip and change signs = -2/7, yes thus it is perpendicular
How do u write 25% as a fraction or mixed number?
Answer:
fraction- 1/4
If a large sized pizza of diameter 35 cm is kept on a rectangular base of dimensions 50 cm x 60 cm. Find the area of the base excluding the pizza.
Answer:
2037.89
Step-by-step explanation:
The area of a circle is πr²
This means that the area of the pizza is π*17.5^2
This means that the area =962.11275016187
We then need to find the area of a rectangle which is shown throuhg lenght*width
50*60=3000
We then need to find out the area of the box excluding the pizza so we subtract the area of a pizza
so we have
3000-962.11275016187=2,037.88724983813
Round and get 2037.89