Answer:
KG = 7 (A)
m KIH = 28 (B)
m JIH = 96 (D)
m HKI = 68 (B)
m KJI = 84 (C)
Step-by-step explanation:
Notice that the triangle HKJ is identical to HIJ. Since there are lines drawn to each other and both triangles are identical, the lines KG and GI are the same. This means that it is 7.
The triangle KGJ is identical with IGH. Using the recognise angle property, we know that angle JKI is the same as KHI. This means that it is 28.
Angle JIH is the same as angle JKH. Since JKH is 180 - (KHI or 84), we know that the angle JIH is 96.
We can find angle HKI by subtracting 96 by 28 because we know that angle HKI is the same as JIH. This gives us 96-2 8 = 68.
Angle KJI is the same as KHI which is 84. Therefore, KJI is also 84.
Answer:
The largest integer is 29.
Step-by-step explanation:
Let the consecutive positive integers are x, x+1 and x+2.
The square of sum of squares of three consecutive positive integers is 2354 such that,
It is a quadratic equation whose solution is given by :
x = 27 and x = -29
First positive integer = 27
Second positive integer = 27+1 = 28
Third positive integer = 27+2 = 29
Hence, the largest integer is 29.
Answer:
height = 63 m
Step-by-step explanation:
The shape of the monument is a triangle. The triangle is a right angle triangle. The triangular monument is sitting on a rectangular pedestal that is 7 m high and 16 m long. The longest side of the triangular monument is 65 m . The longest side of a right angle triangle is usually the hypotenuse. The adjacent side of the triangle which is the base of the triangle sitting on the rectangular pedestal is 16 m long.
Since the triangle formed is a right angle triangle, the height of the triangular monument can be gotten using Pythagoras's theorem.
c² = a² + b²
where
c is the hypotenuse side while side a and b is the other sides of the right angle triangle.
65² - 16² = height²
height² = 4225 - 256
height² = 3969
square root both sides
height = √3969
height = 63 m
What is the variables replacement
Answer:
6
Step-by-step explanation:
maximum calories in a day = 540
no. of calories from the dog food = 320 x 1 
= 480
∴ she can have: 540 - 480
= 60 calories to stay inside calorie range
no. of new treats she can have = 60 ÷ 10
= 6
Hope this helps!
