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Lady bird [3.3K]
3 years ago
12

I need help pleaaseeeee

Mathematics
1 answer:
Bond [772]3 years ago
6 0

Answer:

x=3

Step-by-step explanation:

Because the shape is a rhombus that means that WZ and XY are parallel

This means we can use the co-interior angles rule to conclude that ∠WZY and ∠XYZ add up to 180°

This means that ∠WZY is 44°

Because the shape in a rhombus ZX and WY are perpendicular

This means that ∠ZRY is a right angle (90°)

Because ZX and WY are perpendicular that means that ∠ZYX is split in half which makes ∠ZYW 68°

Because the angles in a triangle add up to 180°

(10x-8)+68+90=180

(10x-8)+158-158=180-158

10x-8+=22+8

10x/10=30/10

x=3

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given : AD is ⊥to AB and DC, BC is ⊥ to AB and DC, angle EDC ≅ angle ECD, AD ≅ BC. prove: triangle ADE ≅ triangle BCE
Kamila [148]

Answer:

Hence proved triangle ADE ≅ triangle BCE by Side Angle Side congruent property.

Step-by-step explanation:

Given:

AD ⊥ AB \& CD

BC ⊥ AB \& CD

AD = BC

∴ ∠ A = ∠ B = ∠ C = ∠ D =90°

∠ EDC = ∠ ECD

Solution

∠ C = ∠ BCE + ∠ ECD⇒ equation 1

∠ D = ∠ ADE + ∠ EDC⇒ equation 2

∠ C = ∠ D (given)

Substituting equation 1 and 2 in above equation we get

∠ BCE + ∠ ECD = ∠ ADE + ∠ EDC

But ∠ EDC = ∠ ECD (given)

∴ ∠ ADE = ∠ BCE

ED = EC (∵ base angles are same triangle is isosceles triangle)

Now, In Δ ADE and Δ BCE

AD =BC

∠ ADE = ∠ BDE

ED = EC

∴ By Side Angle Side congruent property

Δ ADE ≅ Δ BCE

6 0
4 years ago
A pound of blueberries costs $3.50 and a pound of oranges cost $2.50. Whats the total cost of 0.6 pounds of blueberries and 1.8
Fittoniya [83]

Answer:

$6.60

Step-by-step explanation:

1 pound of blueberries = $3.50

if 0.6 pound = 3.50 × 0.6 = 2.10

1 pound of oranges = $2.50

if 1.8 pound = 2.50 × 1.8 = 4.50

Total = $4.60

4 0
2 years ago
If vx = wz = 40 cm and m
dybincka [34]

Answer:

I am unable to solve this problem w/o any other given variables.

*Post a picture of the actual problem, or provide more numeric responses for variables so that I can solve.

6 0
3 years ago
A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walkercharge for a 45 minute w
leonid [27]

hello

from the question given, the dog walker charges a flat rate of $6 and an extra $30 per hour.

we can write out an equation in function notation

let the number of hours be represented by x

f(x)=6+30x

now we can proceed to solve the cost of the walk for 45 minutes

\begin{gathered} 1hr=60\min s \\ \text{xhr}=45\min s \\ x=\frac{45}{60} \\ x=\frac{3}{4} \\ \text{therefore 45mins = 3/4 hours} \end{gathered}

now we can input the value into the equation and know the cost for 45 minutes walk

\begin{gathered} f(x)=6+30x \\ x=\frac{3}{4} \\ f(x)=6+30(\frac{3}{4}) \\ f(x)=6+22.5 \\ f(x)=28.5 \end{gathered}

from the calculation above, the cost of 45 minutes walk will cost $28.5

6 0
1 year ago
Find the leg of each isosceles right triangle if<br> hypotenuse is 5 square root 6
Mekhanik [1.2K]
Let x be the measure of both legs since the given is an isosceles right triangle. By the Pythagorean theorem we calculate for the legs,
                                      x² + x² = (5 sqrt 6)²
The value of x from the given equation is approximately 8.66 units. 
7 0
3 years ago
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