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SCORPION-xisa [38]
2 years ago
10

Two parallel lines are crossed by a transversal. Parallel lines r and s are cut by transversal q. On line s where it intersects

with line q, the uppercase left angle is 125 degrees and the bottom right angle is d degrees. What is the value of d? d = 55 d = 75 d = 125 d = 155

Mathematics
2 answers:
mojhsa [17]2 years ago
8 0

Answer:

D)155

Step-by-step explanation:

Just took test today and got it right :) hope this helped

8_murik_8 [283]2 years ago
6 0

Answer:

The value of d is 55

Step-by-step explanation:

Given:

r and s are two parallel lines

q is the Transversal

uppercase left angle is 125 degrees

The bottom right angle is d degrees

To Find:

The value of d = ?

Solution:

We know that the sum of supplementary angles is 180^{\circ}

Refer the diagram below,

Now

125^{\circ} +( x )= 180^{\circ}

( x )= 180^{\circ}-125^{\circ}

( x )= 55^{\circ}

Also we know that

Alternate interior angles are formed by a transversal intersecting two parallel lines . They are located between the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate interior angles. Alternate interior angles are congruent, meaning they have equal measure.

So d  will also be 55^{\circ}

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The price of a ceramic bead necklace (Y) is directly proportional to the number of beads (x) on the necklace. Using the graph, w
Annette [7]

Answer: C) (1,0.80) represents the unit rate. E) (25,20) represents the price of a necklace with 25 beads

Step-by-step explanation:

(1, 0.80) represents the unit rate.

(25, 20) represents the price of a necklace with 25 beads.

\frac{y}{x} = unit rate → \frac{4}{5} = 0.80; \frac{12}{15} = 0.80; \frac{16}{20} = 0.80

Point (1, r) → (1, 0.80) represents the unit rate.

25(0.80) = 20; thus, (25, 20) represents the price of 25 beads.

Hope this helps

8 0
1 year ago
Classify each characteristic according to whether it is true for an amoeba, a clock, or both.
Stells [14]

Answer:

Amoeba is a single celled eukaryotic organism, found in the water body. These organisms have a false feet called as pseudopodium. It helps in the locomotion and captures food from the external environment. The organism does not exhibit a well defined shape. It has organelles like nucleus and vacuoles surrounded by cytoplasm. The food being captured by psuedopodium is engulfed inside a vacuole. It reproduces by the process of asexual reproduction called as binary fission. The genetic material replicates by the mitotic division, then the cell divides into two equal daughter cells. The amoeba obtains energy from food, and it uses this energy to move, capture food and reproduce.

A clock is a non-living thing. That displays time. It has three needles or hands, the bigger hand displays hour, the small one displays minutes and the thin needle displays seconds. These hands or needles uses energy from a cell or battery.

Characteristics features of amoeba are as follows:

Uses energy

Has internal organization

Characteristics features of clock are as follows:

Uses energy

Contains cells

Lacks genetic material reproduces

Has a defined boundary

Has internal organization

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
The volume of a fish tank is given by the function V(x)=(x+7)(x-4)(x+3). Write a function describing a fish tank that has the sa
Aleksandr [31]

Answer:

V(x)=(x+9) * (x-4) * (x+6)

Step-by-step explanation:

A fish tank is normally in the shape of a rectangular prism. The volume of a rectangular prism can be calculated using the following formula

V = w * h * l

where w represents the width, h represents the heigh, l represents the length, and V represents the volume of the rectangular prism/fish tank. Therefore, we can use the function provided in the question and simply add 3 units to the length and 2 units to the width in order for it to work for our new fish tank.

V(x)=(x+9) * (x-4) * (x+6)

3 0
1 year ago
Let P2 be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 10x2+4xâ1, 3xâ4x2+3, and
lord [1]

I suppose

H=\mathrm{span}\{10x^2+4x-1,3x-4x^2+3,5x^2+x-1\}

The vectors that span H form a basis for P_2 if they are (1) linearly independent and (2) any vector in P_2 can be expressed as a linear combination of those vectors (i.e. they span P_2).

  • Independence:

Compute the Wronskian determinant:

\begin{vmatrix}10x^2+4x-1&3x-4x^2+3&5x^2+x-1\\20x+4&3-8x&10x+1\\20&-8&10\end{vmatrix}=-6\neq0

The determinant is non-zero, so the vectors are linearly independent. For this reason, we also know the dimension of H is 3.

  • Span:

Write an arbitrary vector in P_2 as ax^2+bx+c. Then the given vectors span P_2 if there is always a choice of scalars k_1,k_2,k_3 such that

k_1(10x^2+4x-1)+k_2(3x-4x^2+3)+k_3(5x^2+x-1)=ax^2+bx+c

which is equivalent to the system

\begin{bmatrix}10&-4&5\\4&3&1\\-1&3&-1\end{bmatrix}\begin{bmatrix}k_1\\k_2\\k_3\end{bmatrix}=\begin{bmatrix}a\\b\\c\end{bmatrix}

The coefficient matrix is non-singular, so it has an inverse. Multiplying both sides by that inverse gives

\begin{bmatrix}k_1\\k_2\\k_3\end{bmatrix}=\begin{bmatrix}-\dfrac{6a-11b+19c}3\\\dfrac{3a-5b+2c}3\\\dfrac{15a-26b+46c}3\end{bmatrix}

so the vectors do span P_2.

The vectors comprising H form a basis for it because they are linearly independent.

4 0
2 years ago
Nina's monthly budget is $2,250. Every month she makes the following payments: $175 for insurance, $129 for utilities, $283 for
choli [55]
The total costs that Nina would have to pay is the sum of the cost of insurance, utilities, and taxes.
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The highest house payment she could afford is then the difference between her budget and the costs,
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Thus, the answer would be letter B. House B because all the rest of the monthly payment are way over her budget. 
6 0
1 year ago
Read 2 more answers
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