Answers
Answer:
x = 36°y = 48°Step-by-step explanation:
Given:
ΔABC ≅ ΔFDEWe can tell that y = 48° because ΔABC ≅ ΔFDE. We can also tell that ∠DEF = 108 because ΔABC ≅ ΔFDE.Let's first try to simplify ∠CAB in ΔABC. Then we can find the 'x' in ΔFDE with the help of ΔABC.
ΔABC = 108 + 48 + ∠CAB = 180°
=> 156 + ∠CAB = 180°
=> ∠CAB = 24°
=> 48 + 108 + 2x - 48 = 180°
=> 108 + 2x = 180°
=> 2x = 72°
=> x = 36°
So, after working on this problem, we can conclude that 'x = 36°' and 'y = 48°'. Hoped this helped.
Answer: x=36, y=48
Step-by-step explanation:
The sum of the angles in a triangle is 180. From triangle ABC we see that:
108 + 48 + Z = 180, where Z is the unknown third angle.
156 + Z = 180
Z= 24 (angle CAB).
Since the triangles are similar, we can say angle EDF(y) is equal to angle CAB (48). Thus,
y = 48
we can also say that angle CAB is the same as angle DFE:
24 = (2x-y)
24=2x-48
72=2x
x=36
Related Questions
A six-foot person walks from the base of a streetlight directly toward the tip of the shadow cast by the streetlight. When the person is 12 feet from the streetlight and 5 feet from the tip of the streetlight's shadow, the person's shadow starts to appear beyond the streetlight's shadow.
Required:
a. Draw a right triangle that gives a visual representation of the problem. Show the known quantities and use a variable to indicate the height of the streetlight.
b. What is the height of the streetlight?
Answers
Answer:
Step-by-step explanation:
pls help me
look at the picture
Answers
Answer:
third option is correct
[tex] \text{Given : Which expression is equivalent to} \: \frak{( {8}^{2})^{ - 4}} \\ \\ \odot \quad\frak{ \frac{1}{ {8}^{2}}} \\ \\ \odot \quad\frak{ \frac{ - 1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}} \\ \\ \odot\quad\frak{ \frac{1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}} \\ \\ \odot \quad \frak{ {8}^{2} }[/tex]
[tex] \text{Solution : For getting the answer we need to first simplify it } \\ \quad \dashrightarrow \frak{ ({8}^{2}) ^{ - 4} } \\ \\ \quad \dashrightarrow \frak{{8}^{2( - 4)} } \\ \\ \quad \dashrightarrow \frak{ {8}^{( - 8)} } \\ \rm{now \: as \: the \: exponent \: is \: in \: negative \: so \: we \: need \: to \: bring \: 8 \: down \: in \:} \\ \rm{ form \: of \: denominator} \\ \\ \rm{so \: we \: get \: as} : \\ \\ \quad\hookrightarrow \frak{ \frac{1}{ {8}^{8}}} \\ \rm{as \: the \: exponent \: is \: 8 \: so \: we \: get \: to \: know \: that \: 8 \: is \: multplied \: 8 \: times \: with \: 8.} \\ \quad\hookrightarrow\frak{ \frac{1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}} \\ \\ \therefore \underline{ \boxed{ \sf{ \blue{option \: c} \: i.e.} \: \blue{\frak{\frac{1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}}} \: is \: the \: \blue{correct \: answer}}}[/tex]
Express in the form n:1
12:2
Answers
Answer:
6:1
Step-by-step explanation:
The ratio 12/2 is equivalent to the ratio 6/1, or 12:2 = 6:1 .
help with these sum please it is math
Answers
Answer:
Step-by-step explanation:
24 ) Before, so -5 sec
25) after. So, + 5 sec
26) + 50 c
27) -50 c
28) - 1 min
29) + $ 50
30) - $ 5
31) +5
32) - 5
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answers
Draw a line PQ. Take any point outside it and construct a line parallel to the given line through this point
Answers
Parallel means same slope, so in the image, line PQ is connected by a line. The other point I made has a line parallel through it.
10 points
A bank charges $27 every week. Which integer shows the amount
charged after 5 weeks?
Answers
Answer:
135
Step-by-step explanation:
27 x 5 =135
Please answer this question
Answers
Answer:
Step-by-step explanation:
2)f(x) = 2x² +4x - 3
a = 2 ; b = 4 ; c = -3
1) Put x = -1 in the equation
f(x) = 2*(-1)² + 4*(-1) -3 = 2 - 4 -3 = -5
Vertex = (-1,-5)
2) Upward
3) Minimum
4) axis of symmetry = -b/2a = -4/2*2=-4/4= -1
x = -1
5) domain: all real numbers (-∞ ,∞)
Range : y ≥ -5 ; [-5 , ∞)
3) f(x) = 3x² - 6x + 4
Vertex : (1,1)
Opening : upward
Minimum
Axis of symmetry: x = 1
Domain: all real numbers
Range: y ≥ 1 ; [1, ∞)
4)f(x) = -x² - 2x - 3
a) Vertex: f(x) = -(-1)² - 2*(-1) - 3 = -1 + 2 - 3 = -2
Vertex( -1,-2)
b) downward
c) Maximum
d) Axis of symmetry: x = 2/-2 = -1
x = -1
e) Domain: all real numbers
Range: y ≤ -2 ; (-∞ , -2]
5)f(x) = 2(x -2)²
a) Vertex: (2, 0)
b) Opening: upward
c) Minimum
d) x = 2
e)Domain: all real numbers
Range: y ≥ 0 ; [0,∞)
Bianca deposits $3,000 in a savings account earning 4.25% simple interest per year. Part A How much interest will Bianca earn for a period of 3 years?
Answers
Answer:
$382.5
Step-by-step explanation:
First get the 4.25% of $3000. then multiply it by 3-representing 3 years.
hope it can help you lovelots
Factor completely by finding the greatest common factor:
12xy^4 − 21x^2y^5z + 36xy^3
Answers
Answer:
the coomon factor is 3xy³
by factoring we get
3xy³(4y-7xy²z+12)
Jessica's curtain company is making curtains for a local hotel. She wants each curtain to be 24 inches long. At the fabric store, fabric is sold by the foot. If Jessica's curtain company wants to make 79 curtains, how many feet of fabric will she need? 1 inch = 1 twelfth foot
Answers
Answer:
158 feet
Step-by-step explanation:
24 inches = 2 feet
79 x 2 = 158
Help please I really don’t understand due tomorrow
Answers
Answer:
x≥21
Step-by-step explanation:
1) Multiply both sides by the denominator (3)
x+21≥42
2)Move the constant to the right (21)
x≥42-21
3) Calculate it
x≥21
Directions:
It’s easy for people to get stuck in their own minds or their own worlds instead of seeing the perspectives of others. Take a moment to consider the perspective of the characters listed. Choose one character. Write a short paragraph to explain the perspective of that character by putting yourself “in their shoes.” Consider these questions:
What might be his or her struggles?
How does the character see the world around himself or herself?
What decisions would you make if you were in the character’s place?
Be sure to use specific examples or textual evidence from research, the readings in this class, or your own experiences and knowledge.
Prompt:
Topic 1: Perspective of Montresor in “The Cask of Amontillado”
Topic 2: Perspective of Princess Irene in The Princess and the Goblin, Chapter 14
Answers
Answer: Montresor struggles with anger, and grudges. Montresor feels remorse at the end but excuses it as the dampness of the catacombs.
He sees the world without justice and sees to make justice for himself. In the story he talks about the misgivings and insults he receives from fortunato. He takes vengeance against him.
(haven´t read book based off summary) Princess Irene shares a friendship that is strong. I infer this based off the trust and bonding they share in the book. She struggles against goblins.
Step-by-step explanation: I really hope this helps havent read the books in a long time.!!
Which of the binomials below is a factor of this trinomial?
5x2 + 14x-3
Answers
Answer:
The answer is D. x + 3
Step-by-step explanation:
The factors of 5x2 + 14x - 3 are:
(5x-1) and (x+3)
A lava lamp is an example of which type of heat transfer?
A. Solar Energy
B. Radiation
C. Conduction
D. Convection
Answers
Answer:
C
Brainlest
Step-by-step explanation:
We did this in 6th grade. The energy changes the density of the wax as it heats up; the molecules expand out from each other, causing the wax to become liquid-like blobs. By convection, the heat moves the liquid-like wax blobs up. By radiation, the heat energy moves from the glass and out in electromagnetic waves. Lava Lamp Model of Convection As a substance gains heat energy (in the case of the lava lamp, heat is transferred from the hot light bulb to the lava), it becomes less dense than the surrounding liquid ), causing the substance to rise.
Additionally, what type of energy does a lava lamp use? Energy starts from the electricity flow, when you plug in a lava lamp. The energy becomes thermal energy to produce heat from the light at the bottom of the lava lamp. The thermal energy from the light is transferred to the lava and uses the thermal energy to warm up the lava lamp.
Conduction is the transfer of heat through direct contact (in this case, metal coil contact with the "lava" at the bottom of the lava lamp). Convection is the transfer of heat through movement such those in a flowing medium (such as liquids or gases, or in this case as the "lava" rises in a lava lamp).
How convection works in the mantle?
Mantle convection is the very slow creeping motion of Earth's solid silicate mantle caused by convection currents carrying heat from the interior to the planet's surface. This hot added material cools down by conduction and convection of heat.
Which grade should I work on first, the highest grade or the lowest grade?
Answers
Answer:
lowest but make sure to keep the highest in your mind and keep working. you've got this! :)
Answer:
the lowest grade. But also stay on top of ur assignments on the subject u have the lowest grade on because u will fall back behind. this also goes for ur other higher grades. try to spend one hour in each assignments that is past due.
Write an equation of the line that passes through the pair of points.
(-5,-4), (5,-3)
Answers
Step-by-step explanation:
the most common form of line equation is
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.
for the slope a :
x changes by +10 (from -5 to 5)
y changes by +1 (from -4 to -3)
the slope is +1/+10 = 1/10
the equation looks now like
y = (1/10)x + b
let's use the first point.
-4 = (1/10)×-5 + b = -1/2 + b
-3 1/2 = -7/2 = b
the equation is
y = (1/10)x - 7/2
so, the second answer option is correct.
Which function is graphed below?
Answers
The first option. Hope this helped!
Are these ratios equivalent?
825 trees : 660 bushes
929 trees : 809 bushes
yes
no
Answers
Answer:
NO
Step-by-step explanation:
Please help me!!!!!!!!!!! Find the coordinates of P scale factor of 3
Answers
Answer:
P'(3, -12)
Step-by-step explanation:
Assuming we're dilating the figure by a factor of 3 using the origin as the center of dilation, the coordinates of P' will be 3 times those of P:
P' = 3P
P' = 3(1, -4)
P' = (3, -12)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answers
Answer:
y - 3 = -12(x - 5)
Step-by-step explanation:
This is what point slope form looks like:
y - y1 = m(x - x1)
(5, 3) is our known point, represented as (x1, y1).
Now, just plug in the given slope and point into the equation:
y - 3 = -12(x - 5)
What is the measure of angle 1 in the diagram 42 30 1 2
Answers
Answer:
The answer is no doubt about it
it’s the middle number
PLEASE HELP ME NOW!!!!! ILL GIVE BRAINLIEST!!!
Answers
Answer:
its C. 17/10
Bcs 3/2
=1.5
And on the figure shown 1.5 comes in c
Mark me BRAINLIESTPlease help meeeee please please c
Answers
Answer:
the item would cost $9000
Find the area of the yellow region.
Round to the nearest tenth.
Answers
Answer:
13.7 cm square
Step-by-step explanation:
Here we see that the square has an area of 8x8= 64 centimeters square. We want to subtract the area of the white part from 64 to find the area of the yellow region. If we were to put the white parts together it would create a circle, so we need to find the area of the circle and then subtract it from 64. The circle would have a radius of one half the length of the square, which would be 4 cm. Area equals pi times radius squared so the area would be 50.27 cm square. 64-50.27= 13.7 cm square
What expressions are equivalent to -6+4q+(-6q)
Answers
Simplified answer:
-6 - 2q
Step-by-step explanation:
-6 + 4q + (-6q)
=> -6 + 4q - 6q
=> -6 + (-2q)
=> -6 - 2q
I think this is the expression. Try to simplify your options and see if one of them equal to -6 - 2q. Hoped this helped.
Which equation is the inverse of y = x2 +4?
y =-VI- 4
b. y = x-4
a
Cy=Vx+4
d. y= -x - 4
Anyone know the answer
Answers
Answer:
B. [tex]y=\pm\sqrt{x-4}[/tex]
Step-by-step explanation:
Swap the positions of the x and y variables then solve for y again.
[tex]y=x^2+4\\\\x=y^2+4\\\\x-4=y^2+4-4\\\\x-4=y^2\\\\\sqrt{x-4}=\sqrt{y^2}\\\\\pm\sqrt{x-4}=y[/tex]
Round 76.28 to the nearest whole number
Answers
Answer:
76
Step-by-step explanation:
Answer:
76
Step-by-step explanation:
.28 is less than .50 therfore it will be rounded down to 76
question below on photo pls quick
Answers
I hope youre asking for the y=mx+b kind of equation… if so its y=2x-1
PLEASE HELP
Please factor completely by finding the greatest common factor:
12xy^4 − 21x^2y^5z + 36xy^3
Answers
Answer:
-3xy^3 (7xy^2z-4y-12)
Step-by-step explanation:
Simply factor out "-3xy^3." GL!
Answer:
so in both you can see that 7xy is common . Thus it is a common factor.Step-by-step explanation: