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Mamont248 [21]
3 years ago
7

What are the coordinates of point H? On a coordinate plane, point H is 1.5 units to the left and 3 units up. (Negative 3, 1 and

one-half) (Negative 1 and one-half, 3) (1 and one-half, 3) (3, negative 1 and one-half)
Mathematics
2 answers:
IrinaK [193]3 years ago
6 0

We are given positions of the coordinates of C and D :

"From the origin, point C is 1.5 units to the left and 3 units up."

1.5 units left of the origin is x = negative 1.5 and 3 units up origin is y = 3.

Therefore, first coordinate on the axis is C(-1.5, 3).

"From the origin, point D is 1.5 units to the right and 3 units up."

1.5 units right of the origin is x =  1.5 and 3 units up origin is y = 3.

Therefore, second coordinate on the axis is D(1.5, 3).

We can see than x-coordinates of C and D are opposite in sign.

When we have x-coordinates opposite in sign, it would be reflection over y-axis.

Therefore, correct option is:

D is C reflected across the y-axis; only the signs of the x-coordinates are different for C and D.

Alika [10]3 years ago
5 0

Answer:

B

Step-by-step explanation:

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Need help! Does anyone know how to do this type of math? (It's geometry)
mart [117]

Answer:

71

Step-by-step explanation:

<u>refer</u><u> </u><u>the</u><u> attachment</u>

to solve the question we need to recall one of the most important theorem of circle known as two tangent theorem which states that <u>tangents </u><u>which</u><u> </u><u>meet </u><u>at</u><u> the</u><u> </u><u>same</u><u> </u><u>point</u><u> </u><u>are </u><u>equal</u><u> </u><u> </u>that is being said

  • FA=AI=17
  • CH=CG=2.5

since \rm BA=FA+FB and it's given that FA and BA are 17 and 29 FB should be

  • \rm 29=17+FB

therefore,

  • FB=29-17=\boxed{12}

once again by two tangent theorem we acquire:

  • FB=BH=\boxed{12}

As BC=BH+CH,BC is

  • 12+2.5
  • \boxed{14.5}

likewise,AD=AI+DI so,

  • 21=17+DI [AD=21(given) and AI=17 (by the theorem)]

thus,

  • DI=21-17=\boxed{4}

By the theorem we obtain:

  • DI=DG=4

Similarly,DC=DG+CH therefore,

  • DC=4+2.5=\boxed{6.5}

Now <u>finding</u><u> </u><u>the</u><u> </u><u>Perimeter</u><u> </u><u>of </u><u>ABCD</u>

  • P_{\text{ABCD}}=\text{AB+AD+BC+DC}

substitute what we have and got

  • P_{\text{ABCD}}=\text{29+21+14.5+6.5}

simplify addition:

  • P_{\text{ABCD}}=\boxed{71}

hence,

the Perimeter of ABCD is <u>7</u><u>1</u>

4 0
2 years ago
(25 Points) The measure of b is ______?
Eva8 [605]

Answer:

21

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 +b^2 = c^2

where a and b are the legs and c is the hypotenuse (opposite the right angle)

20^2 +b^2 = 29^2

400 + b^2 =841

Subtract 400 from each side

400-400 +b^2 = 841-400

b^2 = 441

Take the square root of each side

sqrt(b^2) = sqrt(441)

b = 21

6 0
3 years ago
Read 2 more answers
How many ways can you select a committee of 4 students out of 10 students?
Aleks04 [339]

\binom{10}{4}=\frac{10!}{6!4!}=\frac{10(9)(8)(7)}{24}=10(3)(7)=\boxed{210}

3 0
1 year ago
What is the sum in simplest form?<br> 41 +13 = 1
Alborosie

Answer:

x + y = 41

x - y = 13

------------------

2x = 54..............We divide 2 such that

x = 27

Then we plug 27 into the equation such that

27 + y = 54.................Subtract 27 to get

y = 14

Step-by-step explanation:

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3 0
3 years ago
Select the diagram showing a pair of alternate interior angles:
Nat2105 [25]

The orange one is an example of alternate interior angles.

4 0
2 years ago
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